Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?

Answer:

c=400

Step-by-step explanation:

Use the perfect square formula:

ax^2+bx+c=0

x^2-40x+c=0

bring c to the other side

x^2-40x+___=-c

divide -40 by 2 then square it; 400

add 400 to each side

c=400

(x-20)(x-20)

The value of c that makes the trinomial a perfect square x²– 40x + c is 400.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

We have to find the  value of c that makes the trinomial a perfect square: x²– 40x + c

Lets use the perfect square formula:

ax²+bx+c=0

The given equation is given below.

x²-40x+c=0

Take the c term to the right hand side

x²-40x=-c

x²-40x+400=-c+400

c=400

Hence, the value of c that makes the trinomial a perfect square x²– 40x + c is 400.

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Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

-108 points

How?

Because -18×6=-108

------(Showed you some proof from above)

That's all I got hope it helps

Answer:

The tax is 8%

Step-by-step explanation:

Take the final price and subtract the original price

513-475 = 38

Divide by the original price

38/475 =.08

Change to percent form

8%

The tax is 8%

Answer:

x< 0

Step-by-step explanation:

[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality

[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given

[] Our final answer, assuming we can use x for this graph, is x < 0

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

[tex]5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)[/tex]

Answer:

Step-by-step explanation:

Answer:

82

Step By Step Explanation:

I would have choose 86 but there is no 86 since 82 is closer I choose it.

A full angle equals 180 so 180-94=86.

Hopes This Helps

Answer:

i feel like its A or D i could be wrong but i believe its one of the two

Answer:

that's is the correct answer

Step-by-step explanation:

hope it helps

[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]

Answer:

Step-by-step explanation:

(-1/6)^2 + 5/8(-1/9)= -0.0416

Thus the answer is -1/24

Answer: B

Step-by-step explanation:

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

Answer:

Answer:

step A

Step-by-step explanation:

she should have added x to both sides.

Answer:

-x+6=5x+30

6=6x+30

6x=-24

x=4

if you want to get rid of the -x you have to add x not take away x

Hope This Helps!!!

Answer:

Congress. would equal 80 due to x being worth 1/4 of y's total.

[tex]\huge \rm༆ Answer ༄[/tex]

The required information needed to prove the two triangles congruent by HL congruency criteria is ~

Answer: 8

Step-by-step explanation:

Sequence: 1,2,2,4,8,32,256

After the first digit, the repeated pattern for the last digit is  2,2,4,8,2,6

So, the 35 term's final digit will be 8

Answer:

4.8

Step-by-step explanation:

6/55= ~0.109

0.109*44=4.8

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

Answer:

see explanation

Step-by-step explanation:

The triangle segment is a median

A median goes from the vertex to the midpoint of the opposite side.

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.

AC = 2 × FC = 2 × 35 = 70

BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38

GC = 2 × DG = 2 × 14 = 28

AE = AG + GE = 42 + 21 = 63

Answer:

x = 5/8

Step-by-step explanation:

[tex]\frac{8x}{8} = \frac{5}{8}[/tex]

x=[tex]\frac{5}{8}[/tex]

Answer:I believe the answer is e

Step-by-step explanation:

Answer:

42.29 READ THE EXPLANATION

Step-by-step explanation:

i am guessing you mean the cost for 1 pound is 7.98 and he is getting 5.3 but if different do the steps, all you have to do is mutiple the unit rate (7.98) by how many pounds bought(5.3)

Answer:

21

Step-by-step explanation:

when p is 4

p² + 5 = 4² + 5

16 + 5 = 21

Answer:

Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards

brainliest please?<3

Step-by-step explanation:

To find the area, first convert the mixed numbers to improper form:  

3 3/4 = 15/4 & 3 1/3 = 10/3

Now multiply them together:  

15/4 x 10/3  

= 150/12

Answer: 12.5

Step-by-step explanation:

3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.

15   10       150

==x == =  ====             150 divided by 12 is 12.5

4     3         12

Answer:

x = 2

y = 3

Explanation: