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3 years ago

Given f(x)=2x + 5 and g(x)=x^2 - 3 f(3)= g(2)= g(f(-1))= f(g(-1))= g(f(x))=

Mathematics

1 answer:

Igoryamba3 years ago

4 0

Answer:

See below

Step-by-step explanation:

Given

f(x)=2x + 5 and
g(x)=x^2 - 3

=================

f(3)

f(3)= 2*3 + 5 = 11

g(2)

g(2)= 2^2 - 3 = 1

g(f(-1))= 6

f(-1) = -2 + 5 = 3

g(3) = 3^2 - 3 = 6

f(g(-1))= 1

g(-1) = (-1)^2 - 3 = -2

f(-2) = -2*2 + 5 = 1

g(f(x))

g(f(x))= (2x +5)^2 - 3 = 4x^2 + 20x + 25 - 3 = 4x^2 + 20x + 22

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Answer:

y = $\frac{2}{3}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = $\frac{4-2}{3-0}$ = $\frac{2}{3}$

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3 years ago

HOW TO SOLVE 2/5x=-25

Pepsi [2]

Answer:

x = - $\frac{125}{2}$ = - 62.5

Step-by-step explanation:

Given

$\frac{2}{5}$ x = - 25

Multiply both sides by 5 to clear the fraction

2x = - 125 ( divide both sides by 2 )

x = - $\frac{125}{2}$ = - 62.5

6 0

3 years ago

Read 2 more answers

Anyone know how to do this?

Novay_Z [31]

When you add 2pi to the angle, the amount is still the same. Therefore, you can make -17pi/4 positive by adding 6pi to it.

6pi + (-17pi/4)
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3 years ago

When Jennifer purchases her house, she pays a 3% realtor commission for the $1800,000 loan amount. How much commission did Jenni

ankoles [38]

Answer:

$54,000

Step-by-step explanation:

1,800,000 - 3% =

1,746,000

1,800,000 - 1,746,000 =

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2 years ago

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snow_tiger [21]

Answer:

b. The margin of error would decrease.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

$M = z\frac{\sigma}{\sqrt{n}}$

In which z is related to the confidence level, $\sigma$ is the standard deviation of the population and n is the size of the sample.

This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.

In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.

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2 years ago