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2 years ago

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Can someone please help me

1 answer:

zhuklara [117]2 years ago

7 0

So what is the question?

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If f(x)=x^3−x, what is the average rate of change of f(x) over the interval [1, 5]? a)29.5 b)30 c)43 d)120

avanturin [10]

$\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^3-x \qquad 
\begin{cases}
x_1=1\\
x_2=5
\end{cases}\implies \cfrac{f(5)-f(1)}{5-1}
\\\\\\
\cfrac{[5^3-5]~-~[1^3-1]}{4}\implies \cfrac{125-5~~-~~0}{4}\implies \cfrac{120}{4}\implies 30$

7 0

3 years ago

Write an equivalent expression using distributive property and simplify for each question

Lana71 [14]

Answer:

Check explanations

Step-by-step explanation:

For all real numbers a,b, and c, the distributive property states that:

$a(b + c) = ab + ac$

For Part A, we have

$2x + 10x = x(2 + 10) = x(12) = 12x$

Or

$2x + 10x = 2x(1 + 5) = 2x(6) = 12x$

For Part B, we have

-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x

This simplifies to:

-4(3x-10)+5(2-6x)=-12x+40+10-30x

-4(3x-10)+5(2-6x)=-12x-30x+40+10

-4(3x-10)+5(2-6x)=-42x+50

For the C part, we have:

$2(x - 4) + x = 2 \times x - 2 \times 4 + x$

$2(x - 4) + x = 2x - 8+ x$

$2(x - 4) + x = 3x - 8$

For Part D, we have:

$-3-7(3-4x)+8x = - 3 - 7 \times 3 - 7 \times - 4x + 8x$

We simplify to get:

$-3-7(3-4x)+8x = - 24+28x + 8x$

Simplify further to get:

$-3-7(3-4x)+8x =-24+36x$

4 0

3 years ago

There is a direct path from Gayle's house to the store. Due to construction, the direct route is closed and Gayle must travel 6

Elina [12.6K]

Answer:

<em><u>c2=10</u></em>

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

3 0

3 years ago

The slope of the line below is -2. Use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6

r-ruslan [8.4K]

<u>Answer:</u>

The point-slope equation of the line is $y = -2x +2$ or $2x+y = 2$

<u>Solution: </u>

Let us assume that the slope is m and the y intercept of the line is b

Hence, $y=m x+b$ --------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

$\Rightarrow-6 = m\times4 +b$

$\Rightarrow-6 = (-2)\times4 +b$

$\Rightarrow-6 = -8 +b$

$\Rightarrow-6+8 =b$

$\Rightarrow b = 2$

So, the equation of the line will be will be $y = -2x +2$ or $2x+y = 2$

6 0

2 years ago

Find the surface area.<br> 24 yd<br> 15 yd<br> 15 yd<br> +13 yd<br> 15 yd

ValentinkaMS [17]

For what value of x does 32x - 93x-4 ?

5 0

2 years ago