Find the indicated probability for a randomly selected x value from the distribution

Find The Indicated Probability For A Randomly Selected X Value From The Distribution

Answers

Answer 1

We need to find:

[tex]P(x\ge\mu-\sigma)[/tex]

For the graph we get

here we know that the probability that we want is all the values from the mu-sigma line onwards

Find The Indicated Probability For A Randomly Selected X Value From The Distribution
Find The Indicated Probability For A Randomly Selected X Value From The Distribution

Related Questions

3Divide 3x- 12x + 5 by x + 1.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

3x³ - 12x + 5 / x + 1

Step 02:

3x³ - 12x + 5

x = -1

- 1 | 3 0 12 5

| -3 3 -15

_______________

3 -3 15 -10

3x ² - 3x + 15 - 10/x+1

The answer is:

[tex]3x^2-3x+15-\frac{10}{x+1}[/tex]

Thirty increased by six times a number x is fifty-four.

Answers

From the question, the number is unknown

Hence let the unknown number be x

We represent the statement given mathematically to form an equation

Thus, we have;

[tex]\begin{gathered} \text{Six times the number = 6}\times x=6x \\ \text{Six times the number increased by 30 = 6x + 30} \\ \text{The result is 54; as such we have} \\ 6x+30=54 \\ \text{Collecting like terms, we have} \\ 6x=54-30 \\ 6x=24 \\ \text{Dividing both sides by 6, we have} \\ x=\frac{24}{6} \\ x=4 \end{gathered}[/tex]

Therefore, the number is 4.

Given y = 32 5. if the domain is -1.0.2.53. what is the range?

Answers

Given y = 3x -5

if the domain is { -1, 0, 2, 5 } . What is the range?​

_________________________________________

Domain= x values

Range = y values

y = 3x -5

x= -1

y= 3* (-1)-5= -8

__________________

(x, y)

-1, -8

0, -5

2, 1

5, 10

____________

Answer (the second option )

[tex]\text{Range}=\lbrace-8,-5,1,10\text{ }\rbrace[/tex]

________________-

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market research shows that 30% of consumers are likely to purchase an electronic tablet for younger children under 10. however, only 2% of consumers are likely to buy a laptop for children under age 10. on the other hand, for children ages 10 -17, 50% of consumers are likely to buy a tablet and 40% are likely to buy a laptop. if a family has five-year-old son and a 13-year-old daughter, what is the probability of both children receiving a tabletA. 60%B. 20%C. 15%D. 80%

Answers

0.15 (option C)

Explanation:

Percentage of consumers likely to purchase an electronic tablet for younger children under 10 = 30%

percentage of consumers likely to buy a laptop for children under age 10 = 2%

percentage of consumers likely to buy a tablet for children ages 10 -17 = 50%

percentage of consumers likely to buy a laptop for children for children ages 10 -17 = 40%

A family has five-year-old son (under 10) and a 13-year-old daughter (10-17) and they want to get a tablet for both:

[tex]\begin{gathered} \text{ the probability = 50\%}\times30\text{\%} \\ =\text{ 0.5 }\times\text{ 0.3} \\ \end{gathered}[/tex][tex]\begin{gathered} \text{probabilty}=\text{ 0.15} \\ \text{probability = 0.15(option C)} \end{gathered}[/tex]

At a community barbecue, Mrs. Whitehead and Mr. Howell are buying dinner for their families. Mrs. Whitehead purchases 2 hot dog meals and 3 hamburger meals, paying a total of $35. Mr. Howell buys 1 hot dog meal and 3 hamburger meals, spending $31 in all. How much do the meals cost? Hot dog meals cost $ each, and hamburger meals cost $ each.

Answers

ANSWERS

Hot dog meal: $4

Hamburger meal: $9

EXPLANATION

We can write a system of equations

• x: cost of each hot dog meal

,

• y: cost of each hamburger meal

Mrs. Whitehead bought 2 hot dog meals and 3 hamburger meals and spent $35:

[tex]2x+3y=35[/tex]

Mr. Howell bought 1 hot dog meal and 4 hamburger meals and spent $31:

[tex]x+3y=31[/tex]

The system of equations is:

[tex]\begin{cases}2x+3y=35 \\ x+3y=31\end{cases}[/tex]

Using the elimination method - which consists in subtracting one equation from the other in order to eliminate one of the variables - we can find

a telemarketers computer selects phone numbers at random.the telemarketer has recorded the number of respondents and each age bracket for one evening in the following table .what is the probability that the next responded will be 25 or younger? enter a fraction or round your answer to four decimal places if necessary Under 18=2418-25=2326-35=4036-45=58over 45=50

Answers

SOLUTION:

The probability that the next responded will be 25 or younger is ;

[tex]P(x<25)=\frac{total\text{ }under\text{ }25}{total\text{ }number\text{ }of\text{ }respondents}[/tex]

Thus, we have the probability to be;

[tex]P(x\leq25)=\frac{24+23}{24+23+40+58+50}=\frac{47}{198}=0.2374[/tex]

Thus, the final answer is 0.2374

All will rent a for the weekend. He can choose one of two plan has an 53.96 and costs an additionalper mile driven second plan fee of $57.96 and costs an additional per mile driven. How miles would All need to drive the two plans to cost the same?

Answers

Let the miles driven be x;

Let the cost of the plan be c;

The first plan costs (in dollars);

[tex]c=53.96+0.13x[/tex]

Then, the second plan costs (in dollars);

[tex]c=57.96+0.11x[/tex]

When the costs are same, we have;

[tex]53.96+0.13x=57.96+0.11x[/tex]

Simplifying further by collecting like terms, we have;

[tex]\begin{gathered} 0.13x-0.11x=57.96-53.96 \\ 0.02x=4 \\ x=\frac{4}{0.02} \\ x=200 \end{gathered}[/tex]

The miles Ali need to drive so the two plans cost the same is 200 miles.

What is the measure of n?5m15nn = [?]V==Give your answer in simplest form.Enter

Answers

In a diagram,

Thus, triangles ABC, ADB, and BDC are similar and the ratio between their corresponding sides is constant; therefore,

[tex]n=DB,AD=5,DC=15,AB=m,AC=20[/tex]

Hence,

[tex]\Rightarrow\frac{DB}{DC}=\frac{AD}{BD}=\frac{BA}{CB}[/tex][tex]\begin{gathered} \Rightarrow\frac{n}{15}=\frac{5}{n} \\ \Rightarrow n^2=5\cdot15=75 \\ \Rightarrow n^2=75 \\ \Rightarrow n=\sqrt[]{75}=5\sqrt[]{3} \\ \Rightarrow n=5\sqrt[]{3} \end{gathered}[/tex]

Thus, the answer is 3, n=5sqrt3

Determine whether or not the given points form a right triangle if the triangle is not a right triangle, determine if it is ISOSCELES or SCALENE

Answers

We are given three points: (6, 3), (4, 9), and (8, 9).

To find out if they form a triangle, and if they do, what kind, we will be using the distance formula. This will tell us the length of each line segment (side of the triangle, if any triangle is formed).

The formula to find the distance between two points is:

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Let's solve for the lengths of the sides.

[tex]\begin{gathered} d_1=\sqrt{(6-4)^2+(3-9)^2} \\ d_1=\sqrt{4+36} \\ d_1=\sqrt{40} \\ d_1=2\sqrt{10} \end{gathered}[/tex][tex]\begin{gathered} d_2=\sqrt{(6-8)^2+(3-9)^2} \\ d_2=\sqrt{4+36} \\ d_2=\sqrt{40} \\ d_2=2\sqrt{10} \\ \end{gathered}[/tex][tex]\begin{gathered} d_3=\sqrt{(4-8)^2+(9-9)^2} \\ d_3=\sqrt{16+0} \\ d_3=4 \end{gathered}[/tex]

We now know that 2 sides have the same measurement, 2 sqrt 10, while the third side measures 4 units.

Therefore, the triangle formed is isosceles.

Also, we can check that the triangle is NOT right by using the Pythagorean Theorem:

[tex][/tex]

Multiplying with Monomials 1) 2x^3y^3 ⋅ 3y^4 2) 3vu^2 * 3vu^2 3) yx^3 * x^3 * 3yx^4 4) 2x^2 y^2 * 4x^3 y^4 5) −8x^2(7x − 2)

Answers

1) The given expression is

2x^3y^3 ⋅ 3y^4

We would apply the rule of exponent shown below

a^b * a^c = a^(b + c)

Thus, we have

2x^3y^3 ⋅ 3y^4 = 2 * 3 * x^3 * y^(3 + 4)

= 6x^3y^7

Triangular Prism: a. Triangle area = 24, h = 5 b. Tri = b = 10, h = 9, and the height is 12

Answers

The formula of the volume of a rectangular prism is

[tex]V=l\times w\times h[/tex]

where l is the length w is the width and h is the height

for a.

l=5 cm

w=7 cm

h=8 cm

[tex]V=5\times7\times8=280\operatorname{cm}^3[/tex]

for b.

l=7 cm

w=7 cm

h=7 cm

[tex]V=7\times7\times7=343\operatorname{cm}^3[/tex]

for c.

l=4.2 cm

w=3.6 cm

h=8.3 cm

[tex]V=4.2\times3.6\times8.3=125.496\operatorname{cm}^3[/tex]

Describe the nature of the roots of this equation.2x^2-x+1=0O A. Two complex rootsO B. One real, double rootO C. Two real, rational rootsO D. Two real, irrational roots

Answers

ANSWER

A. Two complex roots

EXPLANATION

We want to describe the roots of the equation:

[tex]2x^2\text{ - x + 1 = 0}[/tex]

Let us solve it with the quadratic formula.

For a quadratic equation:

[tex]ax^2\text{ + bx + c = 0}[/tex]

The roots are gotten by using the formula:

[tex]x\text{ = }\frac{-b\text{ }\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

So, we have that:

a = 2, b = -1, c = 1

So:

[tex]\begin{gathered} x\text{ = }\frac{-(-1)\text{ }\pm\sqrt[]{(-1)^2\text{ - 4(2)(1)}}}{2\cdot2}=\frac{1\text{ }\pm\sqrt[]{1\text{ - 8}}}{4} \\ x\text{ = }\frac{1\text{ }\pm\sqrt[]{-7}}{4}\text{ = }\frac{1\text{ }\pm\text{ }\sqrt[]{7}\cdot\text{ }\sqrt[]{-1}}{4} \\ \Rightarrow\text{ x = }\frac{1\text{ + }\sqrt[]{7}i}{4}\text{ and }\frac{1\text{ - }\sqrt[]{7}i}{4} \end{gathered}[/tex]

As we can see, the two roots of the equation are complex.

A company sells product for $69 each. The variable costs are $9 per unit and fixed costs are $45,000 per month.

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the revenue function TR

Total revenue is given as:

[tex]Number\text{ of units sold }\cdot Cost\text{ per unit}[/tex]

By calculation,

Let n represents the number of items sold

[tex]\begin{gathered} By\text{ substitution,} \\ one\text{ item = \$69} \\ TR=69n \end{gathered}[/tex]

Total revenue cost is given as 69n

STEP 2: Define the Total cost function

The formula for total cost is given as:

[tex]\begin{gathered} TC=an+b \\ where\text{ a is the unit cost} \\ n\text{ is the number of items } \\ b\text{ is the fixed cost} \end{gathered}[/tex]

The known details from the given question are:

[tex]\begin{gathered} a=\text{ \$}9 \\ n=n \\ b=\text{ \$}45000 \\ \\ TC=9n+45000 \end{gathered}[/tex]

Total cost is given as 9n+45000

STEP 3: Calculate the number of units needed to be sold to break even

Here, we equate TC to TR and this is given as:

[tex]\begin{gathered} TR=TC \\ 69n=9n+45000 \\ 69n-9n=45000 \\ 60n=45000 \\ n=\frac{45000}{60}=750 \end{gathered}[/tex]

Hence, 750 units are needed to be sold

STEP 4: Calculate the revenue at the break-even

We get this by substituting 750 for n in the Revenue function

[tex]\begin{gathered} TR=69n \\ n=750 \\ TR=69(750)=\text{ \$}51750 \end{gathered}[/tex]

Hence, the TR at the breakeven is $51750

Solve. Round answer to the hundredths place. If answer does not have a hundredthsplace then include zeros so that it does. 15.4 = 3.5m

Answers

To solve the given equation for m, we divide the equation by 3.5:

[tex]\frac{3.5m}{3.5}=\frac{15.4}{3.5}.[/tex]

Simplifying the above result, we get:

[tex]m=4.4.[/tex]

Rounding the above number to 2 decimal places, we get:

[tex]m=4.40.[/tex]

Answer:

[tex]4.40[/tex]

priya bought these ítems at the grocery store. Find each unit price.12 eggs for 3.how much is the cost per egg3 pounds of peanuts for $7.50.how much is the cost per pound 4 rolls of toilet paper for 2. how much is cost per roll 10 apples for $3.50.how much is the cost per

Answers

Answer

- The unit price of an egg is $0.25, that is, it costs $0.25 per egg.

- The unit price of 1 pound of peanut is $2.50, that is, it costs $2.50 per pound of peanut.

- The unit price of 1 roll of toilet paper is $0.50, that is, it costs $0.50 per roll of toilet paper.

- The unit price of an apple is $0.35, that is, it costs $0.35 per apple.

Explanation

We are given the list of items Priya bought and asked to find the unit price of each item.

- 12 eggs for $3. how much is the cost per egg?

12 eggs = $3

1 egg = (1 × 3)/12 = (3/12) = (1/4) = $0.25

The unit price of an egg is $0.25, that is, it costs $0.25 per egg.

- 3 pounds of peanuts for $7.50. how much is the cost per pound?

3 pounds of peanuts = $7.50

1 pound of peanuts = (1 × 7.5)/3 = (7.50/3) = $2.50

The unit price of 1 pound of peanut is $2.50, that is, it costs $2.50 per pound of peanut.

- 4 rolls of toilet paper for $2. how much is cost per roll?

4 rolls of toilet paper = $2

1 roll of toilet paper = (1 × 2)/4 = (2/4) = (1/2) = $0.50

The unit price of 1 roll of toilet paper is $0.50, that is, it costs $0.50 per roll of toilet paper.

- 10 apples for $3.50. how much is the cost per apple?

10 apples = $3.50

1 apple = (1 × 3,50)/10 = (3.5/10) = $0.35

The unit price of an apple is $0.35, that is, it costs $0.35 per apple.

Hope this Helps!!!

the points scored on the test for a sample of 37 students are summarized find the mean points scored round to the nearest tenth

Answers

Explanation

We can find the mean of the student below;

[tex]\text{Mean = }\frac{sum\text{ of student scores}}{\text{number of students}}[/tex]

Therefore, we will have;

[tex]\text{Mean}=\frac{7\times90+19\times80+11\times70}{37}=\frac{2920}{37}=78.9[/tex]

Answer: Mean Points =78.9

You know that two triangles have the same interior angles, but you’re not sure whether they’re congruent. The first triangle has coordinates (0, 0), (3, 0), and (0, 4). The second triangle has coordinates (2, -1), (2, 3), and (-1, -1). Use the distance formula to find the length of all three sides determine whether the triangles are congruent.

Answers

Answer:

The triangles are congruent.

Explanations:

The formula for calculating the distance between two points is expressed as

D = √(x₁ - x₂)²+(y₁ - y₂)²

For the first triangle with coordinates A(0, 0), B(3, 0), and C(0, 4).

Find the measure of the sides:

AB = √(3- 0)²

AB = √9

AB = 3

BC = √(4)²+(-3)²

BC = √25

BC = 5

AC = √(4- 0)²

AC = 4

For the other three coordinates (second triangles)

The second triangle has coordinates D(2, -1), E(2, 3), and F(-1, -1).

DE = √(3+1)²+(2-2)²

DE = √16

DE = 4

EF = √(-1-3)²+(-1-2)²

EF = √(-4)²+(-3)²

EF = √25

EF = 5

DF = √(-1-2)²+(-1+1)²

DF = √(-3)²

DF = 3

Note that for the first triangle to be congruent to the second triangle, the measure of their hypotenuse sides must be equal.

Since they are both right angled triangle and the measure of their hypotenuse (longest side) is equal that is BC = EF, hence the triangles are congruent.

8.X + 6K.1J>2x + 8Find the values below. Be sure to show all your work.a. Find x. [Respond Here]b. Find the length of Kl. [Respond Here]

Answers

Answer:

a) x = 6

b) KI = 20

Step-by-step explanation:

We have that:

KI = 2x + 8

And

KI = KJ + JI

In which:

KJ = 8

JI = x + 6

So

KI = KJ + JI

2x + 8 = 8 + x + 6

2x + 8 = x + 14

2x - x = 14 - 8

x = 6

So, the answer for a is x = 6.

For b:

KI = 2x + 8 = 2*6 + 8 = 12 + 8 = 20

So KI = 20

Which function is represented by the graph? f(x) = -lxl + 4 f(x) = -|xl - 4 f(x) = -lx + 4lf(x) = -lx-4l

Answers

The function f(x) = -|x| + 4

Find all the zeros to the following polynomial(hint: Decarts rule of signs helps
reduce the list of possible rational zeros.)
p(x) = x³ - 2x²+x-2

Answers

Purplemath. Descartes' Rule of Signs is a useful help for finding the zeroes of a polynomial, assuming that you don't have the graph to look at.

if Jamie work full time 40 hours 5 days how many months Jamie need to complete 308 hours?

Answers

given that: Jamie works 40 hours in 5 days.

Then he works 8 hours per day.

total number of days to complete 308 hours is,

[tex]\frac{308}{8}=38.5[/tex]

No. of days per month is 30 days.

Therefore Jamie needs 1 month and 8.5 days to complete.

Therefore jamie needs is,

[tex]\frac{38.5}{30}=1.28[/tex]

Thus, Jamie needs 1.28 month to complete 308 hours

can you please help me ? i only need number 2

Answers

Step 1:

The measure of each exterior angle of a regular polygon = 360/n,

where n is the number of sides of the polygon.

Step 2:

Pentagon is a 5 sided polygon, in other words n in this question is 5

Step 3:

We substitute 5 for n in the formula

360/5 = 72

Conclusion:

The measure of each exterior angle of a regular Pentagon is 72

סוסדיטרידGiven: AC I BD and BD bisects AC.Prove: AABD ACBD.StepStatementReasonAC I BDBD bisects ACGiven1tryType of StatementBАD

Answers

Because BD bisects AC, we assure that the angle ABD==CBD

Now, if ABD==CBD and we know ADB=90° and CDB=90°, we can assure the remain angles must be equal: ACB==CAB

Therefore, the triangles ABD and CDB are similar. they have the same angles, they share one side, and another side is equal (AD==DC)

the triangles ABD and CDB are similar because they have all their angles equal and at least two of their sides measure the same distance

[tex]\measuredangle ABD=\measuredangle DBC[/tex]

Diagonals of a rhombus are perpendicular; therefore, RM 1 HB. Find thevalue of y.

Answers

When there are Perpendicular lines , is valid m• m' = -1

then find m and m'

m = H/B

. = (y - 4)/(2-6)

. = (y - 4)/-4

Now find m'

m' = M/ R

. = (11-3)/ (10--2)

. = 8/ 12 = 2/3

Then apply formula m•m' = -1

[(y-4)/-4 ]• 2/3 = -1

solve for y

Then

(y-4) = -1• (3/2)•-4

(y -4) = 12/2 = 6

now delete parenthesis

y = 6 + 4

. = 10

Then ANSWER IS

y = 10

what is x? how would i find the value of x?

Answers

GivenSolutionRecall: SOHCAHTOA

[tex]Tan\text{ 65=}\frac{x}{7}[/tex]

Solve for x

[tex]\begin{gathered} x=7tan65 \\ x=15.01154 \end{gathered}[/tex]The final answer[tex]15\text{ \lparen nearest whole number\rparen}[/tex]Alternatively (second approach)

Using sine rule

[tex]\frac{sin25}{7}=\frac{sin65}{x}[/tex]

Solve for x

[tex]\begin{gathered} xsin25=7sin65 \\ x=\frac{7sin65}{sin25} \\ \\ x=15.01154 \end{gathered}[/tex]The final answer[tex]15\text{ \lparen nearest whole number\rparen}[/tex]

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.n=125, p=0.78The mean, u, is(Round to the nearest tenth as needed.)The variance, op.is(Round to the nearest tenth as needed.)The standard deviation, o, is(Round to the nearest tenth as needed.)esticpartEnter your answer in each of the answer boxes.

Answers

mean is given by

[tex]\mu\text{ = np}[/tex]

mean = 125 x 0.78 = 97.5

Variance is given by

[tex]\text{Varience = np (1 - p)}[/tex]

=> 125 x 0.78 (1- 0.78)

=>97.5 (0.22)

=>21.45

Variance => 21.5 (to the nearest tenth)

Standard deviation is given by

[tex]\begin{gathered} \text{Standard variation = }\sqrt[]{variance} \\ =\text{ }\sqrt[]{21.5} \\ =4.64 \\ \end{gathered}[/tex]

Standard deviation = 4.6 (to the nearest tenth)

please help me: Divide.(4x² +14x+16) / (x+2)Your answer should give the quotient and the remainder.

Answers

The method of solution is Long division

[tex]\frac{4x^2+14x+16}{x+2}[/tex]

This should be written as

[tex]x+2\sqrt[]{4x^2+14x+16}[/tex]

Then, divide the first term i.e 4x² by x and write the answer at the top, multiply the result and subtract as you can see in the image below.

Hence the quotient=4x+6, remainder = 4

the Grand Canyon has the average death of 4000 ft with some sections going to 6000. If you drop an object from a Section 3300 above, how long (in seconds) will it take the object to hit the bottom?

Answers

the Grand Canyon has the average depth of 4000 ft with some sections going to 6000.

i.e. distance = 4000 ft

goind speed = 6000ft/sec

If the object is fall from the 3300 feet above the bottom

Thus total distance travelled by the object = 4000-3300

Distance travelled = 700 feet

Speed = Distance/Time

Substitute the value

6000=700/time

Time = 700/6000

Time= 0.116 second

Answer: it take the object to hit the bottom in 0.11 seconds

the value of tan(alpha+beta) given cos(alpha+beta)= -528/697 and sin(alpha+beta)= 455/697 and sin(a)=40/41 and sin(b)=15/17

Answers

PROBLEM STATEMENT

To evaluate the value of

[tex]\tan (\alpha+\beta)[/tex]

GIVEN

[tex]\begin{gathered} \cos (\alpha+\beta)=-\frac{528}{697} \\ \sin (\alpha+\beta)=\frac{455}{697} \\ \sin (\alpha)=\frac{40}{41} \\ \sin (\beta)=\frac{15}{17} \end{gathered}[/tex]

SOLUTION

Recall the trigonometric identity:

[tex]\tan (x)=\frac{\sin (x)}{\cos (x)}[/tex]

If we have

[tex]x=\alpha+\beta[/tex]

Therefore, we have that:

[tex]\tan (\alpha+\beta)=\frac{\sin(\alpha+\beta)}{\cos(\alpha+\beta)}[/tex]

Substituting for the values of sin and cos, we have:

[tex]\tan (\alpha+\beta)=\frac{\frac{455}{697}}{-\frac{528}{697}}[/tex]

Rewriting, we have:

[tex]\begin{gathered} \tan (\alpha+\beta)=-\frac{455}{697}\div\frac{528}{697} \\ \tan (\alpha+\beta)=-\frac{455}{697}\times\frac{697}{528} \\ \tan (\alpha+\beta)=-\frac{455}{528} \end{gathered}[/tex]

ANSWER

[tex]\tan (\alpha+\beta)=-\frac{455}{528}[/tex]

Find the x and y intercepts for the graph 2x+3y =0. And explain why two additional points should be found for the graph, and graph the function.

Answers

The x-intercept of a graph is the value of x for the points where the graph crosses the x axis, which happens when y=0.

The y-intercept of a graph is the value of y for the point where the graph crosses the y-axis, which happens when x=0.

Set x=0 to find the y-intercept of the graph:

[tex]\begin{gathered} y=0 \\ 2x+3y=0\Rightarrow2x+3(0)=0 \\ \Rightarrow2x=0 \\ \Rightarrow x=0 \end{gathered}[/tex]

Set y=0 to find the x-intercept of the graph:

[tex]\begin{gathered} x=0 \\ 2x+3y=0\Rightarrow2(0)+3y=0 \\ \Rightarrow3y=0 \\ \Rightarrow y=0 \end{gathered}[/tex]

Notice that we got the same point, (0,0), for both the y-intercept and the x-intercept. This happens because this line passes through the origin of the coordinate system.

An additional value for the pair (x,y) would be needed in order to graph the function, since we can draw a straight line between any pair of points, but we just have one point.

Therefore, the x and y intercepts are:

x-intercept: 0

y-intercept: 0

Substitute another value of x or y into the equation 2x+3y=0 to find another point. For instance, use y=2 and solve for x:

[tex]\begin{gathered} 2x+3(2)=0 \\ \Rightarrow2x+6=0 \\ \Rightarrow2x=-6 \\ \Rightarrow x=-\frac{6}{2} \\ \Rightarrow x=-3 \end{gathered}[/tex]

Then, the point (-3,2) also belongs to the graph.

Plot the points (-3,2) and (0,0). Then, draw a straight line through them to graph the function:

Other Questions
Mr Sanders wants to display his American flag in a triangular case as shown below what is the area of this triangular case Determine the x intercepts of the polynomial function: f(x)=x^4-x^2 Recall that the x intercept is a point (x,0) where our value for y is always zero. List the intercepts (x,0) from smallest to largest and separate them with a comma between each point.Answer: what is y? i understood every question before this one, i think i maybe typing the answer wrong can you clarify what y is Which of the following equations describes the line shownbelow? Check all that apply.6((-6,2)(-1,-4) What is the answer to 9m^2-66m+21=0 Choose the letter of the best answer. Write your answers on your answer sheet. What is true about the function f(x) = -3|x+2| - 1 ?A) It has a Maximum at -1 when x=2B) It has a Minimum at -1 when x=-2C) It has a Maximum at -1 when x=-2D) It has a Minimum at -1 when x=2 Overall, I liked what your group had to say, but I thought the presentation could have been improved if everyone had participated. ,begin underline,There was a group of four members presenting to the class, only one of them spoke.Question: Which revision corrects the run-on in the underlined portion?1.Only one group member spoke, there were four group members presenting to the class.2.There was a group of four members presenting to the class, but only one of them spoke. 3.There was a group of four members presenting to the class, only one of them spoke, though. 4.Though there was a group of four members presenting to the class, but only one of them spoke.The underlined sentence is There was a group of four members presenting to the class, only one of them spoke. can you graph y=2x-4 Find the equation of the line with slope = -9 and passing through (-9,5) Write equation in point - slope AND slope- intercept forms. Write a word problem that can be represented by the expression 1/5 4. Then draw a visual model and solve your problem. i need a little better explanation and help on this question The largest frog ever found was discovered in Cameroon in 1989. The frogs mass was nearly 3.9 kg. Suppose this frog is placed on a skateboard with a mass of 2.7 kg. The frog jumps horizontally off the skateboard to the right, and the skateboard rolls freely in the opposite direction with a speed of 2.3 m/s relative to the ground. If the frog and skateboard are initially at rest, what is the horizontal velocity of the frog? Round to the hundredths. Diethyl ether is made from ethanol according to thefollowing reaction:2CH5OH()Ethanol(CH5)O(l) + HO(l)DiethyletherIn an experiment, 517 g of ethanol gave 391 g ofdiethyl ether. What was the percent yield in thisexperiment? Students at East Central High School earned $708 selling candy. Then they want to make $3710 for a club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if necessary. A recreational outlet has two trampolines on sale. The table shows the original prices Trampoline Model Original Price ($) Skye Bouncer 1,480 Ultimate 1,450 The Skye Bouncer is discounted 15% and the Ultimate is discounted 13%. If the sales tax rate is 7.5%, which trampoline has the lower sale price Please help with this system of equations? I now have a solid internet connection I need to write a proof for the second property that there is one pair of congruent angles in a isosceles trapezoid (prove DA equals CB)i think it could be solved with one of the triangle congruency theorems like ASA but i dont know how Which of the following is the correct similarity statement?-Triangle RLG Similar Triangle PCN-Triangle RLG Similar Triangle CNP O-Triangle RLG Similar Triangle NCP you can determine of a line or the equation of an exponential given any two points that lie on these curves.In these excerise we will pick two special points.consider the points (0,5) and (1, 15) (a) write the equation of the line that passes between these two points in y=mx+ b form(b) write the equation of these exponential that passes between these two points in y =a(b)^x form(c) sketch two curves on the axes below .label with their equation