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3 years ago

Find g(x) if it is known that g(2t)=8t−1.

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer:

g(x) = 4x - 1

Step-by-step explanation:

Linear function in the format: g(x) = ax + b

g(2t) is a*(2t)+b

g(2t) = 8t - 1 means that:

when x = 2t, g = 8t - 1.

Equaling both sides

8t - 1 = a*2t + b

b = -1,

and

2a = 8, a = 8/2, a = 4

g(x) = 4x - 1

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SHOW YOU WORK AND EXPLAIN PLS I WILL MARK YOU BRAINLIEST PLEASE.

KatRina [158]

Answer:

a) 1.8 $cm^2$

b) 3.6 $feet^2$

Step-by-step explanation:

Conversion and calculation of areas

The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard

We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is

A=(0.5)(0.6)=0.3 $cm^2$

Assuming there is no overlapping, the 6 stickers have a total area

6*0.3 $cm^2$ =1.8 $cm^2$

Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have

long=2/5*3=1.2 feet

wide=1/4*3=0.75 feet

Area of each paper=1.2 feet*0.75 feet=0.9 $feet^2$

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3 years ago

How do I find the area of a circle with the diameter of 4

goblinko [34]

Answer:

use $a = 1/4\pi d^2\\$

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Step-by-step explanation:

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3 years ago

Factor the common factor out of the expression 8+20a+18a^2

ruslelena [56]

First let's rewrite it...

18a^2 + 20a + 8

Factor out a 2

2 (9a^2 + 10a + 4)

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3 years ago

A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack

adelina 88 [10]

OPTIONS:

A. The interquartile range of the trail mix data is greater than the range of the cracker data.

B. The value 70 is an outlier in the trail mix data.

C. The upper quartile of the trail mix data is equal to the maximum value of the cracker data.

D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

Answer:

Step-by-step explanation:

With the given information about how the box plot looks like, let's examine each option to see if they are true or not.

Option A: "The interquartile range of the trail mix data is greater than the range of the cracker data."

The interquartile range of trail mix data = 105 - 90 = 15

Range of cracker data = 100 - 70 = 30

Option A is NOT TRUE.

Option B: "The value 70 is an outlier in the trail mix data."

This is NOT TRUE. There are not outliers as 70 is the minimum value if the ranges of the data set for the trail mix.

Option C: "The upper quartile of the trail mix data is equal to the maximum value of the cracker data."

Upper quartile of the trail mix data = 105

Max value of cracker data = 100

This statement is NOT TRUE.

Option D: "The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers."

The greater the range value, the greater the variation. Thus,

Range value of the trail mix data = 115 - 70 = 45

Range value of the cracker data = 100 - 70 = 30

This is statement is correct because trail mix data have a greater range value, hence, it has a greater variation in the number of calories.

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago