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Katen [24]
2 years ago
5

The table shows values for a quadratic function.

Mathematics
1 answer:
Ket [755]2 years ago
8 0

The average rate of change for this function for the interval from x = 1

to x = 3 will be 8. Therefore option B is correct.

<h3>How to find the average rate of change of something?</h3>

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}

where when

x = x_1, y = y_1\\and \\x = x_2, y = y_2

The average rate of change can be calculated as;

From x=1 to x=3,

y = 2 and y = 18

Therefore, based on the table, when:

x_1 = 1 y_1 = 2 \\and \\x_2 = 3, y_2 = 18

Then:

\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}

\text{Average rate} = \dfrac{18 - 2}{3-1}\\\\\text{Average rate} = \dfrac{16}{2}\\\\\text{Average rate} = 8

Therefore option B is correct.

Learn more about average;

brainly.com/question/12424098

#SPJ1

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Line A (y = x + 2) is transformed into Line B (y=3x+1). Which best describes the new slope and y-intercept?
Alona [7]

Answer:

<em>The slope is steeper and the line is shifted downwards. </em>

<em>The y-intercept is shifted downwards. </em>

Step-by-step explanation:

We proceed to demonstrate the transformation from the line A to line B:

1) y = x + 2 Given.

2) y = 3\cdot x + 6 Vertical dilation.

3) y = 3\cdot x +1 Vertical shift of the line in 5 units in the -y direction/Result

Hence, the answer is:

<em>The slope is steeper and the line is shifted downwards. </em>

<em>The y-intercept is shifted downwards. </em>

3 0
3 years ago
Tony misplaced 7 stamps from his collection. He knows that each stamp of his worth $0.15 and that the total value of them is now
Lelechka [254]
44 Stamps. 5.55/0.15 = 37 stamps. 37 + 7 = 44. 44 Stamps.
3 0
4 years ago
Read 2 more answers
A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer i
Gennadij [26K]

Answer:

B. 50 times greater

Step-by-step explanation:

Given;

size of phytoplankton = 2 × 10⁻⁶ in

size of sand grain = 1 × 10⁻⁴ in

Determine how many times longer the grain of sand is than the phytoplankton.

Divide the sand size by the phytoplankton size, to find out how much greater the sand is.

This can be done by equating it as follows;

2 × 10⁻⁶ (y)  = 1 × 10⁻⁴

y = \frac{1*10^{-4}}{2*10^{-6}} \\\\y = 50

Therefore, the grain of sand is 50 times greater than the phytoplankton

B. 50 times greater

7 0
3 years ago
(X+5)(x-7) simplify the expression
noname [10]
(X+5)(x-7)
Perform FOIL
x^2-7x+5x-35
Add 5x to -7x
<span>Final Answer: x^2-2x-35</span>
7 0
3 years ago
Can someone graph this equation? 5x-5=5x+2
dem82 [27]
Start by simplifying the equation
5x-5x=2+5
0=7
That means y=7, which means there is a slope of 0
See the picture
Hope this helps

5 0
4 years ago
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