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3 years ago

Simplify 3/4(3x+6)-1/4(5x-24)

Mathematics

1 answer:

Dahasolnce [82]3 years ago

6 0

Distribute
Combine like terms
x+21/2

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Average rate of change help!!

frez [133]

Given that the function is $f(x)=x^{3}-6 x^{2}+4 x+7$

We need to determine the average rate of change over the interval $0 \leq x \leq 5$

Value of f(x) when x = 0:

Substituting x = 0 in the function $f(x)=x^{3}-6 x^{2}+4 x+7$ , we have;

$f(0)=(0)^{3}-6 (0)^{2}+4 (0)+7$

$f(0)=0-0+0+7$

$f(0)=7$

Thus, the value of f(0) is 7.

Value of f(x) when x = 5:

Substituting x = 5 in the function $f(x)=x^{3}-6 x^{2}+4 x+7$ , we have;

$f(5)=(5)^{3}-6 (5)^{2}+4 (5)+7$

$f(5)=125-150+20+7$

$f(5)=2$

Thus, the value of f(5) is 2.

Average rate of change:

The average rate of change can be determined using the formula,

$Rate \ of \ change=\frac{f(b)-f(a)}{b-a}$

where $a=0$ and $b=5$

Thus, we have;

$Rate \ of \ change=\frac{f(5)-f(0)}{5-0}$

$Rate \ of \ change=\frac{2-7}{5-0}$

$Rate \ of \ change=\frac{-5}{5}$

$Rate \ of \ change=-1$

Thus, the average rate of change over the interval $0 \leq x \leq 5$ is -1.

3 0

2 years ago

Does x*x*x*x*x = 5x? I'm not really sure so it would help.

hodyreva [135]

Answer:

Step-by-step explanation:

no ,x*x*x*x*x=x^5

x+x+x+x+x=5x

in multiplication those who have same base we add their power.

in addition those variables which have same base(or are like term) we add them.

6 0

2 years ago

-3(x + 1) + 7x + 8 = 5x - x + 6 - 2

Karo-lina-s [1.5K]

Answer: 5=4 (empty set)

Step-by-step explanation:

(-3x + 7x) + (-3+ 8) = (5x + -x) + (6+-2)

4x + 5 = 4x + 4

Each 4x cancel each other out

5=4

7 0

3 years ago

05 lc) if x2 = 10, what is the value of x? ±square root of 10 ±square root of 20 ±5 ±20

postnew [5]

$x^2=10\\x=\pm\sqrt{10}$

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3 years ago

In the slope - intercept equation of a line which quantity is given by the coefficient of the term x-term?

Kamila [148]

I believe it is the x slope

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3 years ago

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