Which of the expressions below is equal to 10x+30? Select all that apply.

Illusion [34]

3³ - (4² - 2³)

3³ = 3x3x3 = 27

4² = 4x4 = 16

2³ = 2x2x2 = 8

3³ - (4² - 2³) = 27 - (16 - 8) = 27 - 16 + 8 = 19 (answer C)

4 0

3 years ago

Read 2 more answers

<

ratelena [41]

For the first interval (-1, 2), f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.

<h3>Over which interval the rate of change is zero?</h3>

For a function f(x) we define the average rate of change over the interval (a, b) is defined as:

R = (f(b) - f(a))/(b - a)

Here the function is:

f(x) = x^2 - x -1

And the rate of change will be zero on an interval (a, b) if and only if:

f(b) = f(a).

Notice that the first interval is (-1, 2)

f(-1) = (-1)^2 - (-1) - 1 = 1 + 1 - 1 = 1

f(2) = 2^2 - 2 - 1 = 4 - 2 - 1 =1

Then f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.

If you want to learn more about average rate of change:

brainly.com/question/23483858

#SPJ1

4 0

2 years ago

g Recall the method used to obtain a confidence interval for the difference between two population means for matched samples. (a

Dovator [93]

Answer:

Step-by-step explanation:

Population 1: 11, 7, 9, 12, 13, 15, 15

Population 2: 6, 6, 4, 5, 8, 13, 12

Mean = sum of terms/number of terms

For population 1,

number of terms = 7

Mean = (11 + 7 + 9 + 12 + 13 + 15 + 15)/7 = 82/7 = 11.7

For population 2,

Number of terms = 7

Mean = (6 + 6 + 4 + 5 + 8 + 13 + 12)/7 = 7.71

The difference value for each element is

(11 + 7 + 9 + 12 + 13 + 15 + 15) - (6 + 6 + 4 + 5 + 8 + 13 + 12) = (5, 1, 5, 7, 5, 2, 3)

The difference between the two means is

Mean of population 1 - mean of population 2

Difference = 11.7 - 7.71 = 3.99

8 0

3 years ago

Solve: <img src="https://tex.z-dn.net/?f=%202%20x%5E%7B2%7D%20" id="TexFormula1" title=" 2 x^{2} " alt=" 2 x^{2} " align="absmid

ziro4ka [17]

2x^2 + 8x = 0
2x(× + 4) = 0

2x = 0
x = 0/2 =0

x + 4 = 0
x = -4

3 0

3 years ago

Which of the following shows the graph of y = 2 l n x On a coordinate plane, a curve starts at (0, negative 2) in quadrant 4 and

enot [183]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

$f(x)= 2^{-x}=\frac{1}{2^x}$

In the above choices it is clearly defined from the above equation that output rises in the first quadrant, the value of f(x) tends to be zero and increases into another second quadrant.
For x = 0, y, once again, has become 1, that is the function passes the y platform at (0,1).
Therefore an exponential function reaches y = 0 in quadrant 1 on a coordinate plane and rises into quadrant 2.
(0,1) stage is the temperature at which the y-axis intersects.

8 0

3 years ago

Read 2 more answers