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sergejj [24]
3 years ago
8

Which values of x are solutions to the equation below?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

B and D

Step-by-step explanation:

3*(5²)-42=33

75-42=33

3*((-5)²)-42=33

75-42=33

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7x3=21

21-2=19

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Drag each tile to the correct box.
Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

f(a)=h(3)=4  

f(b)=h(5)=16

a=3

b=5

Substitute

\frac{16-4}{5-3}=6

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

f(a)=f(3)=10  

f(b)=f(6)=35

a=3

b=6

Substitute

\frac{35-10}{6-3}=8.33

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

g(x)=\frac{1}{5}(4)^x

f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}  

f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}

a=2

b=3

Substitute

\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%205%20%7C2x%20%2B%202%7C%20%2B%207%20%5Cgeqslant%20%20-%203" id="TexFormula1" title=" - 5
blagie [28]

Answer:

The inequality that comes from this equation is -2 < x < 0

Step-by-step explanation:

In order to solve this equation, we need to start by solving for the absolute value portion of the equation.

-5l2x + 2l + 7 > -3

-5l2x + 2l > -10

l2x + 2l < 2

Now we need to split the equation into two different portions. One with the absolute value symbol taken away. Then we do it again with the symbol flipped and the answer negated.

2x + 2 < 2

2x < 0

x < 0

And the negated version.

2x + 2 > -2

2x > -4

x > -2

5 0
3 years ago
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