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3 years ago

PLS HELP!! If f(x) = 2x^2-4x and g(x) =5-2x, evaluate f(x)-g(x) for x=5

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

To solve this equation you need to first start by writing out the f(x)-g(X).
The equation should be 2x^2-4x-5+2x.
You then want to simplify the equation, I got 2x^2-2x-5.
You then want to plug in the x=5 for all the x's in the equation.
2(5)^2-2(5)-5 would be the equation.
The answer you get should be 35.

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The cost of a jacket increased from $65.00 to $74.10. What is the percentage increase of the cost of the jacket?

Andreas93 [3]

Answer:

14%

Step-by-step explanation:

14% of 65 is 9.1. so 65+9.1= 74.10

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2 years ago

A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be ins

maria [59]

Answer: $4004.76\ ft$

Step-by-step explanation:

Given

inclination is $\theta=75^{\circ}$

Mountain is $h=3900\ ft$ high

Cable is tied $x=910\ ft$ from the base of the mountain

From the figure, length of the shortest path is $l$

It is given by using Pythagoras theorem

$\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft$

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2 years ago

On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?

WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is $1\ inch: 20\ miles$

That means

1 inch on a map represent 20 miles in the city

An area of $(1)(1)=1\ in^2$ on a map represent an area of $(20)(20)=400\ mi^2$ in the city

Applying proportion

$\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2$

3 0

3 years ago

Sample space

jasenka [17]

Considering it's concept, it is found that the number of outcomes in the sample space is of 9.

<h3>What is the sample space of an experiment?</h3>

The sample space is the <u>set that contains all possible outcomes for an experiment</u>.

In this problem, there are 2 trials, each with 3 possible outcomes(red, blue or green), hence the <u>number of possible outcomes</u> is given by:

N = 3² = 9.

More can be learned about sample spaces at brainly.com/question/25861936

#SPJ1

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2 years ago

How to set up this problem

HACTEHA [7]

Answer:

The son is five years old

Step-by-step explanation:

Let the son's age be x

A man is five as old as his son, 5x

In five years, he would be three times as old as his son

In five years: son would be x+5

Father 5x+5

3(x+5)=5x+5

3x+15=5x+5

Collect like terms

15-5=5x-3x

10=2x

Divide by 2

10/2=2x/2

x=5

The son is five years old

5 0

3 years ago