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3 years ago

Given: f(x) = 3x² - 2x +1 and g(x) =x -4

Mathematics

1 answer:

Alja [10]3 years ago

3 0

Answer:

For finding f(g(x)) ~ (x - 4) = 3x^2 - 26x + 57

For finding g(f(x)) ~ g (3x^2 - 2x + 1) = 3x^2 - 2x - 3

Step-by-step explanation:

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What is the area of the triangle shown below?

Angelina_Jolie [31]

Hi!

The equation for finding the AREA of a TRIANGLE is simply: half times base times height, or, 1/2xbxh.

The base here is 6

The height here is also 6

Substitute these values into the formula!

1/2 * (6) * 6)

Multiply!

1/2 * 36.... (6 * 6 = 36)

1/2 * 36 = 18

So, the triangle is 18 sq. units!

3 0

4 years ago

Read 2 more answers

Ellie missed 76 questions on her multiple choice history final and earned a grade of 62%. How many total questions were on the f

erica [24]

Answer:

200 questions on the final exam.

Step-by-step explanation:

38% = 76 questions, 100% = 2.63157894737 x 76 = 200

(100/38=2.63157894737 hence this is the answer)

6 0

2 years ago

The expression 6 x 10^7 could represent an estimate of which number?

arsen [322]

62,349,984
hope it helps!!

6 0

4 years ago

Determine whether each scatter plot represents a linear relationship, a non-linear relationship, or

lorasvet [3.4K]

Answer:

a non-linear relationship

Step-by-step explanation:

it does have a relationship but it's exponential

8 0

3 years ago

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

4 0

3 years ago