Which graph corresponds to the equation: y=−2x−6 A. graph that contains the points (0,-3) and (6,0) B. graph that contains the points (3,0) and (5,4) C. graph that contains the points (-3,0) and (-5,4) D. graph that contains the points (-6,0) and (2,-4)

Answers

Answer 1

Answer: C. graph that contains the points (-3,0) and (-5,4).

Step-by-step explanation:

Given equation of line: [tex]y=-2x-6[/tex]

Now, Let's check each option

A. Put (x,y)=(0,-3), i.e. x=0 and y=-3 in given equation

[tex]-3=-2(0)-6\\\\\Rightarrow\ -3=-6[/tex]

which is not true.

So, option A. is not correct.

B. Put (x,y) = (3,0), i.e. x=3 and y=0

[tex]0=-2(3)-6\\\\\Rightarrow\ 0=-6-6\\\\\Rightarrow\ 0=-12[/tex]

which is not true.

So option B. is not correct.

C. Put (x,y) = (-3,0), i.e. x=-3 and y=0

[tex]0=-2(-3)-6\\\\\Rightarrow\ 0=0[/tex] , which is true.

Put (x,y) = (-5,4) ,

[tex]4=-2(-5)-6\\\\\Rightarrow\ 4=10-6\\\\\Rightarrow\ 4=4[/tex], which is true.

So both points in option C satisfy the given equation.

That means, option C is correct.

D. Put (x,y) = (-6,0)

[tex]0=-2(-6)-6\Rightarrow\ 0=6[/tex] , which is not true.

So option D. is not correct.


Related Questions

On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

Find the distance between points P and Q Round your answer to the nearest whole number.

Answers

Answer:

9

Step-by-step explanation:

We can use the distance formula

d = sqrt (   ( y2-y1)^2 + ( x2-x1) ^2)

d = sqrt (   ( 4- -3)^2 + ( -4 -2) ^2)

   = sqrt (  ( 7^2  + ( -6)^2)

   = sqrt( 49+ 36)

   = sqrt(85)

      9.219544457

Rounding to the nearest whole number

 = 9

Please answer it in two minutes

Answers

Answer:

2√3

Step-by-step explanation:

Since this is a 30-60-90 triangle, we can find s by finding the short leg (bottom), then the hypotenuse (s).

To find the short leg, we can divide the long leg (which is 3mm) by sqrt 3 (also  √3, as any of them are fine), and we will have 3/√3. Since we don't want the square root on the bottom, we can multiply √3 on both sides, giving us 3√3/3, which is technically √3 because of simplifying.

Since you have the short leg now, you can find s. By finding s, you can multiply the short leg by 2, which will be √3 * 2 which is 2√3.

Can someone help me solve this :): ?

( brainliest to the correct answer/explanation)


Answers

Answer:

1and1/2yrs ago

Step-by-step explanation:

price dis year= 56545

reduction per year= 11309

...number of years ago = 73810-56545=17265

and is about 20% of annual deductions

so if 56545 +20% + 1/2 20% = 1nd1/2 yrs

The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) forms a quadrilateral of type:​

Answers

Answer:

A square.

Step-by-step explanation:

(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.

a. the length of the unknown side is ___

b. the perimeter of the triangle is ___

c. the area of the triangle is ___

Answers

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex], assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

[tex]9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40[/tex]

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so [tex]41+9+40 = 90[/tex] km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

[tex]\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180[/tex]

So the area of this triangle is 180 cm²

I hope this helped!

Jaden learns to perform 2 vocal pieces during each week of lessons . How many weeks of lessons will Jaden need before he will be able to sing a total of 24 pieces?

Answers

Answer:

12 weeks

Step-by-step explanation:

To solve this, all you need to do is divided 24 pieces by the two he learns per week. You'll then find it will take him 12 weeks

For what value of x does 5^x-2 not equal zero?

a. all except 2
b. all except 0
c. all except -4
d. all except -2
e. all real numbers

Answers

Answer:

E: all real numbers

Step-by-step explanation:

E: all real number

Explanation

When you have an exponent and the exponent is not indicating a certain has long as what ever equals x is positive and your subtracting by 2. If you were to put a negative number that equals x then you would have to continue to solve in more of a difficult manner. This is Algebra 1 fundamentals!

What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answers

Answer:

n=2

Step-by-step explanation:

⁴/5n-¹/5=²/5n

first we remove the denominators by multiplying all the numbers with their lcm

Lcm of 5n and 5 is 5n thus:

(5n×⁴/5n)-(¹/5×5n)=²/5n×5n

4-n=2

4-2=n

n=2

confirmation

insert 2 insted of n

⁴/5(2)-¹/5=²/5(2)

⁴/10-¹/5=²/10. simplify

²/5-¹/5=¹/5

¹/5=¹/5

so the correct value of n is 2

Romain knows the following information about the 323232 classes he took in high school: He studied for but did not pass 333 classes. He passed 272727 classes in total. He studied for 262626 classes in total. Can you help Romain organize the results into a two-way frequency table?

Answers

Answer:

Classes studied for,      Classes he did not study for       Total

Classes Passed,   23                     4                                             27

Classes Failed,       3                      2                                             5

Total,                     26,                     6                                            32

Please find attached the two way frequency table formatted on Excel spreadsheet

Step-by-step explanation:

The given information are;

The total number of classes Romain took in high school = 32

The number of classes he studied for but did not pass = 3

The total number of classes Romain passed = 27

The number of classes Romain studied for = 26

Therefore;

The number of classes Romain studied for and passed = 26 - 3 = 23

The total number of classes Romain failed = 32 - 27 = 5

The total number of classes Romain passed but did not study for = 27 - (26 - 3) = 4

The number of classes Romain did not study for and failed = 5 - 3 = 2

The total number of classes Romain did not study for =  4 + 2 = 6

11. How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from

yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer.

Manatee Springs

Elephant

House

3,500 yds

4,200 yds

Train Depot

2,000 yds

Bird Sanctuary

Main Gate

(SHOW WORK)

Answers

Answer:

6 km

Step-by-step explanation:

Let us assume the following items

the Point at Train depot = T

The Point at Main gate =  M

The Point at Bird sanctuary =  B

The Point at Elephant house = E

The Point at manatee Springs =  S

As we can see that there are two triangles namely TMB and TSE.

Mentioned that

MTB = ∠STE

∠TMB = ∠TSE

∠TBM = ∠TES.

According to the Angle-angle-angle (AAA similarity)

So, the triangles TMB and TSE are the same.

[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]

So, the TM is 2400 yds

Now the Distance between Main gate M and manatee Spring S is

MS = MT + TS

= 2,400 + 4200

= 6600 yds

Now the MS is

= 6600 × 0.0009144 km

= 6.035 km

6 km

Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased

Answers

Answer:

[tex]\large \boxed{87.5 \, \%}[/tex]

Step-by-step explanation:

            Let x = the original number of books

Then 0.375x = the total number of biographies

 and 0.20  x = the original number of biographies

[tex]\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}[/tex]

 

what is the product of (-a+3)(a+4)?

Answers

[tex](-a+3)(a+4)=-a^2-a+12[/tex].

Hope this helps.

Answer:

-a²-a+12

Step-by-step explanation:

-a²+3a-4a+12

-a²-a+12

Hi could somebody help me

Answers

Assuming both vertical lines are parallel and assuming I'm supposed to find all the unmarked angles...

Angle C:

Supplementary Angles.

x+36=180

180-36=x

x=144

Angle B:

Corresponding Angles.

Angle B ≅ Angle C

144

Angle A:

360 degrees in a quadrilateral

36+144+81+x=360

261+x=360

x = 99

Hope it helps <3

Sequences as Functions: Practice
Save and Exit
Question 8 of 8
Consider the geometric sequence below.
2, 12, 72, 432, ...
Select the explicit function which defines the sequence.
f(n) = 6.3(m – 1)
0 0
f(n) = 6.2(1 - 1)
f(1) = 3.2(0 - 1)
O f(x) = 2.6(n - 1)
Submit
Reset

Answers

The answer is option 4
Explanation:
To find the n term always replace n in the given equation with the term u need
Example:f(n) =2 . 6^(n-1)
Replace n =1 to find the first term
That will be f(1) = 2 . 6^(1-1) = 2 . 6^(0)
( as any number with power 0 is always 1) = 2 . 1= 2

Do the same for 2nd term by replacing n with 2 n so on

i need help plzzzzz​

Answers

Answer:

A

Step-by-step explanation:

Given

f(x) = [tex]\frac{3+x}{x-3}[/tex]

To evaluate f(a + 2), substitute x = a + 2 into f(x)

f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex] → A

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Answers

Answer:

[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex] = - 3[tex]a_{n-1}[/tex]

Which statements are true regarding undefinable terms in geometry?

Answers

C. A line has one dimension, length.

E. A plane consists of an infinite set of lines.

13.- La factorización correcta d
expresión 3x2- 24x + 21 es:
A) (3x-3)(x+7)
B) (3x+21)(x-1)
C) (3x+1)(x+21)
D) (3x-3)(x-7)
reción y​

Answers

Answer:

Option (D)

Step-by-step explanation:

The given expression is,

3x² - 24x + 21

We will factorize the given expression by the following steps,

3x² - 24x + 21

= 3(x² - 8x + 7)

= 3(x² - 7x - x + 7)

= 3[x(x - 7) - 1(x - 7)]

= 3(x - 1)(x - 7)

= (3x - 3)(x - 7)

Therefore, factored form of the given expression is (3x - 3)(x - 7).

Option (D) will be the correct option.

The Department of Health in the United Kingdom wants to know whether the healthcare system is achieving its goals in Scotland. Much information about healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the Department of Health conducted the Scotland Health Survey, which was used to interview a random sample of 34,572 people who live in Scotland.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 70% of males and 87% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to the truth about the entire population? Explain. (6 points)

Answers

Answer:

A. the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population.

Step-by-step explanation:

A. According to the given data we have that it was used to interview a random sample of 34,572 people who live in Scotland, therefore, the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population becuase a large sample was conducted, hence we can make an aproximation that represents the population parameter.

Explain why f(x) = x^2-x-6/x^2-9 is not continuous at x = 3.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]

Required

Why is the function not continuous at x = 3

First substitute 3 for x at the denominator

[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]

Factorize the numerator and the denominator

[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]

[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]

[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]

Divide the numerator and denominator by (x - 3)

[tex]f(x) = \frac{x+2}{x+3}[/tex]

Substitute 3 for x

[tex]f(3) = \frac{3+2}{3+3}[/tex]

[tex]f(3) = \frac{5}{6}[/tex]

Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;

Then the function is continuous

Answer:

A: f is not defined at x = -3

Step-by-step explanation: EDGE 2020

What is the result of subtracting the second equation from the first? \begin{aligned} -2x+7y &= 10 \\\\ 3x+7y &= 2 \end{aligned} −2x+7y=10 3x+7y=2 ​ ​

Answers

Answer:

  -5x = 8

Step-by-step explanation:

The result is shown here. The y-terms cancel.

  [tex]\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}[/tex]

The simplified result is ...

  -5x = 8

Answer:

The result is that 5x = -8

Step-by-step explanation:

Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10

Mathematically that would be;

(-2x+7y)-(3x+7y) = 10-2

-2x + 7y -3x -7y = 8

-2x -3x + 0 = 8

-5x = 8 or 5x = -8

A a supermarket sells the three bands of rice shown.

Answers

Answer:

the ansewr is b

Step-by-step explanation:

Adding Rational Numbers Using Properties of Operations we can
add integers in any order using the
and
properties of addition.
Consider the integers a, b, c, and -d. We can add this group of
integers in several different ways:
a + (-b) + C+ (-0)
a+c+ (-6) + (-d)
(a + c) + [(-b) + (-d)]
The sum of the integers remains the
regardless of
their arrangement. We can use the commutative and associative
properties to break up numbers by
to find the sum of two or more rational numbers.​

Answers

Answer:

First blank: Commutative

Second blank: Associative

Third blank: Same

Fourth blank and fifth blank: Rearranging them? (Not entirely sure)

Hope this helps :)

☆*☆=3x, if x is even and negative OR ☆*☆=4x, if x is odd. Following the rule above, what is the value of ☆ - 23 ☆?
A. 92
B. -92
C. 529
D. -529

Answers

Answer:

okay... Thanks have a great day!

(1/16)^(x+3) = (1/4)^(x+1)

Answers

Answer:

x=-5

Step-by-step explanation:

The answer is x = -5. The explanation and answer is in the image below.

what is the domain of the function represented by the graph.?​

Answers

Answer:

  all real numbers

Step-by-step explanation:

There is nothing on the graph to indicate the function is undefined for any values of x. The domain is all real numbers.

Answer:

Domain is all real numbers.

Step-by-step explanation:

The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x.

Please thank you! I will give brainleist to the first correct answer if it lets me

Answers

Answer:

x=10 y=12

Step-by-step explanation:

just multiply 15 and 18 by 1/3 because both triangle are similar.

Answer:

x = 10; y = 12

Step-by-step explanation:

find the scale factor ratio using corresponding sides: 9 / 6 = 3/2 so the ratio is 3:2

from large triangle to small triangle you will get:

1. 15 / x

2. 18 / y

to implement the ratio, set the side length ratio equal to the scale factor:

1. [tex]\frac{15}{x}[/tex] = [tex]\frac{3}{2}[/tex]

2. [tex]\frac{18}{y}[/tex] = [tex]\frac{3}{2}[/tex]

cross multiply:

1. 30 = 3x

2. 36 = 3y

divide:

1. x = 10

2. y = 12

An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units

Answers

Answer:

volume of trapezoidal prism = 15x^2 cubic units

Step-by-step explanation:

First, area of the trapezoidal bases.

Parallel sides measure x and 2x, for an average of 1.5x.

Height = x

Area of trapezoidal base = 1.5x*x = 1.5x^2

Volume of prism = area base * height

(length does not matter, height does)

= 1.5x^2 * 10 = 15x^2

The volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.

What is a trapezoid?

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

An oblique prism has trapezoidal bases and a vertical height of 10 units.

As we know, the area of the trapezoidal bases:

From the figure:

Height = x

Area of trapezoidal base = (1.5x)(x) = 1.5x²

The volume of prism = area base×height

= 1.5x²×10 = 15x² cubic units

Thus, the volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.

Learn more about the trapezoid here:

brainly.com/question/8643562


#SPJ6

Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also find the co-ordinates of the point of division

Answers

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

[tex]x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}[/tex]

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

Small roads with lower speed limits are known as:
O A. interstate highways.
O B. secondary roads.
C. streets
O D. county roads.​

Answers

Answer:

  B. secondary roads

Step-by-step explanation:

While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...

  secondary roads.

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