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3 years ago

Use the Distributive Property to write each expression in expanded form.

Mathematics

2 answers:

kap26 [50]3 years ago

7 0

A. 3x+21

B. 25-5x

C.8x-16

D.x^2+6x+24

anastassius [24]3 years ago

3 0

a. 3x + 21

b. 25 - 5x

c. 8x - 16

d. x^2 +6x + 8

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Given F(x)=x-7 and g(x)=x squared find g(f(4))

andrezito [222]

Answer:

g(f(4)) = -3

Step-by-step explanation:

f(x)=x-7

g(x) = x

g(f(4))

f(4) = 4-7

f(4) = -3

g(-3) = -3

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3 years ago

The length of a rectangle is 5 in. more than 3 times its width. The quadratic function f(x) = x(3x + 5) represents the area of t

saveliy_v [14]

F(x)=x(3x+5)
or
f(x)=3x²+5x
Here the domain in general is: -∞<x<∞
But the length of the rectangle cannot be negative, therefore the domain is all real numbers greater than zero.

Option D is correct.

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3 years ago

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GIVING BRAINLEST FOR SIMPLE 7TH GRADE MATH PROBLEM.

mario62 [17]

Answer:

B. 60deg

Step-by-step explanation:

Both the sum of the third angle in the triangle and x has to be 180deg, as they sum to a half angle;

and the sum of angles in any triangle is 180deg.

We know that x = 180deg - (180deg - 28deg - 32deg) = 180deg - 180deg + 28deg + 32deg = 60deg

Also, note that x is drawn as smaller than a right angle. Unless the picture was made specifically to confuse us, we know that the only answer could be B.

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3 years ago

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Please help!! I’ll mark brainliest

Aleks04 [339]

The triangle was only rotated. The size did not change, so the corresponding angles would remain identical.

Because C is 28 degrees C' would also be 28 degrees.

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3 years ago

The American Community Survey showed that residents of New York City have the longest travel times to get to work compared to re

LiRa [457]

Answer:

The probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.

Step-by-step explanation:

The random variable X can be defined as the travel times to get to work.

The expected travel time is, μ = 38.3 minutes.

The distribution of random variable X can be defined as the distribution of time interval between which a person reaches their work place at a constant average rate.

This implies that X follows an Exponential distribution with parameter, $\lambda=\frac{1}{\mu}=\frac{1}{38.3}$ .

The probability density function of X is:

$f_{X}(x)=\lambda e^{-\lambda x};\ x\geq 0$

Compute the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work as follows:

$P(17.24\leq X\leq 42.13)=\int\limits^{42.13}_{17.24}{\frac{1}{38.3} e^{-x/38.3}}}\, dx$

$=\frac{1}{38.3}\times \int\limits^{42.13}_{17.24}{ e^{-x/38.3}}}\, dx$

$=\frac{1}{38.3}\times| \frac{e^{-x/38.3}}{-1/38.3}}|^{42.13}_{17.24}\\$

$=-e^{42.13/38.3}+e^{17.34/38.3}\\=-0.3329+0.6375\\=0.3046$

Thus, the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.

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3 years ago