What is the slope of the line with equation y−3=-1/2(x−2)?

Answer:

Please find attached the graph of the following function;

[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

Answer: #1  A=9    #2  Naomi started with 6 bushels

Step-by-step explanation:

4A-1 = 3A + 8   Subtract 3A from both sides  4A -3A -1 = 3A-3A + 8 to get

A -1 = 8    Add 1 to both sides   A -1 + 1  = 8 + 1 to get

A = 9 .   Check by substituting 9 in place of A

4(9) - 1 = 3(9) + 8   multiply: 4×9 = 36 . 3×9=27

36 -1  =  27 + 8     do the subtraction and addition

35 = 35 .True.  

Part 2:   The original number plus 5 equals 11

B + 5 =  11 .  . Subtract  5 from both sides

B +5 -5 = 11 -5

B = 6

Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

Answer:

Range of the function → (-∞, 1)∪(1, ∞)

Step-by-step explanation:

Two function has been given as,

f(x) = (x + 1)

and g(x) = [tex]\frac{1}{x}[/tex]

Then (fog)(x) = f[g(x)]

Now f[g(x)] = [tex]\frac{1}{x}+1[/tex]

As shown in the graph,

Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]

And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]

Answer:

Step-by-step explanation:

Let the number be x

5/9 of the number is 90

Which is

5/9 of x = 90

5/9 × x = 90

5/9x = 90

Multiply through by 9

That's

5x = 810

Divide both sides by 5

5x/5 = 810/5

x = 162

Therefore the number is 162

Hope this helps you

Answer:

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)

Q + S - T = 7m + 3n + n + 5 + m + 3n - 8

Q + S - T = 8m + 7n - 3

Answer:

B

the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd

Answer:

its B

Step-by-step explanation:

Answer: domain is all real numbers and range is all real numbers greater than or equal to -2

Step-by-step explanation:

Answer:

The journal entry to record bad debt expense should be:

December 31, 2019, bad debt expense

Dr Bad debt expense 9,000

    Cr Allowance for doubtful accounts 9,000

Net account receivables = $350,000 - $9,000 = $341,000

The allowance for doubtful accounts is a contra asset account that decreases the balance of accounts receivable (balance sheet). Bad debt expense is included in the income expenses and decreases total sales.

Answer:

The discriminant equals to 0

Step-by-step explanation:

We have to remember our discriminant rules;

d > 0, we have 2 real roots

d = 0, we have 1 real root

d < 0, we have 2 complex roots

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-7)

Answer:

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

Answer:

2.1

Step-by-step explanation:

Length of the segment BC can be obtained by using cosine law.

cos A =(b^2 + c^2 - a^2) /2bc

cos 20° = (5^2 +6^2 - a^2) /(2*5*6)

0.9396926208 = (25 + 36 - a^2) /60

0.9396926208 * 60 = 61 - a^2

56.3815572 = 61 - a^2

a^2 = 61 - 56.3815572

a^2 = 4.6184428

a = 2.14905626

a = 2.1 units

Hence, lenght of BC = 2.1 units.

Answer:

18

Step-by-step explanation:

hello,

as this is a parallelogram we can write that BE = DE so

15x + 4 = 9x + 6

<=> 15x - 9x + 4 = 6

<=> 6x = 6 - 4 = 2

<=> x = 2/6 = 1/3

so BE = DE = 15/3+4=5+4=9

so BD = BE + DE = 9 + 9 = 18

the correct answer is 18

hope this helps

Answer:

27

Step-by-step explanation:

Since pink dots is the highest(30) and Purple is second highest so purple must be close to 30.

The requried, height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
Since the vertical axis of the bar graph is marked off in percentages, we can determine the height of each bar by multiplying its frequency by 2, since 50 students were surveyed (i.e., 100% of the sample size).

The frequency of the purple color pattern is 11, so its height on the bar graph is 11*2 = 22.

Therefore, the height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

Learn more about Statistics here:
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Answer:

36 = 6(6)

[tex]x^{2} -(6)^2[/tex]

(x+6)(x-6)

(x+6)(x-6)

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

The equation 2(x + 4) - 1 = 2x + 7 has infinite solutions

The equation is given as:

2(x + 4) - 1 = 2x + 7

Open the bracket

2x + 8 - 1 = 2x + 7

Evaluate the difference

2x + 7 = 2x + 7

Both sides of the equation are the same.

Hence, the equation has infinite solutions

Read more about equation solutions at:

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Answer:

The events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 -----  25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of  being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

[tex]P(S) = 100/125 = 0.8[/tex]

P(Logo A) = Total that prefers Logo A / Total Population

[tex]P(Logo\ A) = 78/125 =0.624[/tex]

P(S n Logo A) = Number of students that prefer logo A /  Total Population

[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]

If the events are independent, then the following condition must be satisfied

[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

[tex]0.536 = 0.8 * 0.536[/tex]

[tex]0.536 \neq 0.4288[/tex]

Since they are not equal, then the events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Answer: b

Step-by-step explanation: just took the quiz

Answer:

Unlikely

Step-by-step explanation:

Certain= 100% chance of your event occuring.

Impossible = 0% chance of your event occuring.

Neither of these apply.

Likely= >50% = >4/8

Unlikely= <50% = <4/8

Unlikely

Step-by-step explanation:

would you please attach the drawing?????

Answer:

Chord is 13

Step-by-step explanation:

Calculating the length of chords QS and TR:

QS = 9 + 4x = 9 + 4 = 13

TR = 12 + (x+2) = 12 + 3 = 15

Answer:

4028.5

Step-by-step explanation:

V=4000+4.75 (6)

V= 4000+28.5

V=4028.5

Please Vote Brainliest!

Answer: Hope this helps <3

Step-by-step explanation:

[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]

Answer:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find y

y = 8

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Assign the largest value to 'c'

If a² + b² = c² , then it is right triangle

If a² + b² > c², then it si acute triangle

If a² + b² < c² , then it is obtuse triangle

Here, a = 9 , b = 12 & c = 18

a² + b² = 9² + 12²

           = 81 + 144

a² + b² = 225

c² = 18²

c² = 324

a² + b² < c²

225 < 324

So, 9, 12 , 18 form a obtuse triangle

Answer:

x = 27

Step-by-step explanation:

Step 1: Write out equation

54 + 6x = 216

Step 2: Solve for x

6x = 162

x = 27

Answer:

x=27

Step-by-step explanation:

54+6x=216

Collect like terms:

6x=216-54

6x=162

Divide both sides by the coefficient of x

6x\6=162\6

x=27

Answer:

a= 5    and   b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

(a-b)x + (a+b)y = 3a + b - 2​

We should note that since it has infinitely many solutions then,

[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]

Hence

2/a-b  =  3/a+b   =     7/3a +b-2

2/a-b  =  3/a+b

cross-multiply

3(a-b) = 2( a+b)

open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

a = 5b  -------------------------------------------(1)

Similarly

3/a+b   =     7/3a +b-2

cross-multiply

7(a+b)  = 3(3a+b -2)

7a + 7b = 9a + 3b -6

take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b =   -6

-2a + 4b = -6 ---------------------------------(2)

but a = 5b

substitute a= 5b in equation (2)   and solve for b

-2(5) + 4b = -6

-10  +  4b  = -6

add 10 to both-side of the equation

-10  + 10+ 4b  = -6+10

4b = 4

divide both-side of the equation by 4

b = 1

substitute b= 1 in equation (1)

a = 5b

a =5(1)

a=5

Therefore,   a= 5    and   b=1

Answer:

The correct answer is

D) 66.35

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

So in shorthand notation:

sin = o/h   cos = a/h   tan = o/a

Often remembered by: soh cah toa

Answer:

C

Step-by-step explanation:

BC is the opposite of angle 54, adi is AC=39

tan54=opp/adj.

BC=AC(tan54)

BC=39(1.376)=53.6789 close to 53.68

Answer:HL

Step-by-step explanation:

By B. HL (hypotenuse and one of the leg) theorem we can conclude that DHF = EHG

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know the longest side of a right-angled triangle, known as the hypotenuse is always in opposition to the right angle.

According to the hypotenuse leg(HL) theorem, two right triangles are congruent if the hypotenuse and one leg of one right triangle coincide with the hypotenuse and leg side of the second right triangle.

In the given diagram DF ≅ EG and DH ≅ EH then according to HL congruency theorem DHF = EHG

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Answer:

It is a reflection over the y-axis (D)

Step-by-step explanation:

Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.

Answer:

reflection over y axis

Step-by-step explanation:

did it on usatestprep and made a 100

Answer:

$ 84.50

Step-by-step explanation:

Regular price = $130

Discount = 35% of 130

               = [tex]\frac{35}{100}*130[/tex]

              = 0.35 * 130

             = $ 45.50

Price of the sunglasses after discount = Regular price - discount

                                                               = 130 - 45.50

                                                              = $ 84.50