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LuckyWell [14K]
3 years ago
10

Carrington is paid at the same rate each time he baby sits. The graph shows the rates he is paid for different times.

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0
The correct answer is D, y = 7x + 5


Calculate the slope by doing y2 - y1 / x2 - x1
y2 - y1 / x2 - x1
61 -33 / 8 - 4
28 / 4
7

Next find the y intercept by looking at the graph, which is 5 in the case

Put it together and you have y = 7x + 5, or option D
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Find the slope of the line through the points (4, 4) and (-1, 5).
Phoenix [80]
<span>We write pattern linear function
f(x) = ax + b

</span><span>Both points must be in one straight line so they can be used to lay the system of equations .
Points A=(4,4), B = (-1,5)
                x  y            x  y

</span>\left \{ {{f(x)=ax + b  (Point A)} \atop {f(x) = ax +b (PointB)}} \right.  \\  \\  \left \{ {{4 =a*4 + b} \atop {5=a*(-1)+b}} \right.  \\  \\  \left \{ {{b= 4 -4a} \atop {5 = -a + (4 - 4a)}} \right. \\  \\   \left \{ {{b = 4 - 4a} \atop {5 - 4 = - 5a }} \right.  \\  \\  \left \{ {{b = 4 - 4a} \atop {a = -  \frac{1}{5} }} \right.  \\  \\  \left \{ {{ b = 4 - 4*(- \frac{1}{5} )= 4 +  \frac{4}{5} = 4,8} \atop {a = -  \frac{1}{5} }} \right.

<span>We insert the calculated a and b in the equation f(x) = ax + b

</span>y = -  \frac{1}{5} x + 4,8

<span>Since a> 0, the function is decreasing</span>
4 0
3 years ago
What is the sum of the roots of the quadratic $4x^2 - 4x - 4$?
Oksi-84 [34.3K]

9514 1404 393

Answer:

  1

Step-by-step explanation:

The sum of roots of quadratic ax^2 +bx +c = 0 is -b/a. Here, that means the sum of roots is ...

  -(-4)/4 = 1

The sum of the roots is 1.

5 0
3 years ago
How do I solve it?? I need help I don't understand how to go this.
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The answer is $1,908 

1. Find out 6% of 40,000 is 108. Now you have your sales commission for the month
2. Add 108 onto 1,800 to get your complete month's pay
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3 years ago
The reflection of a figure is called a(n)-<br> image<br> pre-image
iren2701 [21]

Answer: its called an image

Step-by-step explanation:

This is because it the result of the reflection

3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%7D%20%5Ctimes%20%20%20%5Csqrt%5B3%5D%7B16%7D%20%20%3D%20%20%20%20" id="
gtnhenbr [62]
I hope it helps. ....................

7 0
3 years ago
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