How do you write 176% as a fraction

Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>

3 0

3 years ago

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If Sin 3x= Cos (x-60), find the value of x

Kamila [148]

Answer:

x = 15

Step-by-step explanation:

Assuming 3x and x-60 are in degrees, you can use:

cos(a) = sin(a+90)

To rewrite the equation as:

sin(3x) = sin(x-60+90)

sin(3x) = sin(x+30)

3x = x+30

2x = 30

x = 15

But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.

4 0

3 years ago

Peter is 8 years younger than Alex. In 9 years time, the sum of their ages will be 76 . How old is Alex now?

Lera25 [3.4K]

Answer:

Peter is a-8 in 9 years, (a-8)+ 9+ a+ 9= 76

5 0

3 years ago

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A set of X and Y scores has a regression equation with a slope of b = 4. If the mean for the X values is MX = 2 and the mean for

Rom4ik [11]

Answer:

-2

Step-by-step explanation:

In a linear regression model we have the equation $Y = b_{1}X + b_{0}$ that relates $X$ and $Y$ , where $b_{1}$ is the estimator of the slope and $b_{0}$ is the estimator of the Y-intercept. The coefficients $b_{1}$ and $b_{0}$ can be estimated with the equations:

$b_{1} = \frac{S_{xy}}{{S^{2}}_{x}}$

$b_{0} = MY-b_{1}MX$ . Thus,

$b_{0} = 6 - (4)(2) = -2$

6 0

3 years ago

Do anyone know the answer to this problem?

dimaraw [331]

Answer: An = 36 + 2(n - 1)

Step-by-step explanation:

If the height of the tree grows by 2 inches every year, then the height of the tree is increasing in arithmetic progression. The The formula for determining the nth term of an arithmetic sequence is expressed as

An = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 36 inches

d = 2 inches

Therefore, the explicit rule representing this situation is

An = 36 + 2(n - 1)

8 0

3 years ago