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3 years ago

15

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the

graph, then it must be the same function.

2 answers:

andre [41]3 years ago

7 0

Here, we have to examine the equation of the straight line which is denoted by: y = m x +c where "m" is the slope which represents the steepness and c is the y-intercept

Here, the two linear functions have the same slope "m" and the same y-intercept "c". When both these are the same, the two linear functions are representing the same straight line.

Therefore, Jeremy is correct in his argument.

ch4aika [34]3 years ago

4 0

Jeremy is correct.
If two lines have the same slope and y-intercept, they are the same line.

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3 years ago

Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Ann [662]

Given:

Consider the given function is:

$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

$f(-1)=(-1)^2-8(-1)+13$

$f(-1)=1+8+13$

$f(-1)=22$

At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

$f(6)=36-48+13$

$f(6)=1$

Now, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is:

$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

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3 years ago

I need the answers please help 60points

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Read 2 more answers

What is the mean? Round to<br> one decimal place.<br> 1,6,2,7,9

Viefleur [7K]

Answer:

5

Step-by-step explanation:

The mean represents an average of all the numbers, so we have $\frac{sum-of-all-numbers}{total-amount-of-numbers}$ . Although that may seem confusing, it's actually pretty easy.

We have a total of five numbers, which are 1, 6, 2, 7, and 9.

We add these numbers up to find the sum, so 1 + 6 + 2 + 7 + 9 = 25

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