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2 years ago

6

A gas station charges $2.19 per gallon of gas.Use function notation to describe the relationship between the total cost C(g) and

the number of gallons purchased g

1 answer:

pishuonlain [190]2 years ago

7 0

The answer would be D) C(g)=2.19g

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How are the functions f(x)=16^x and g(x)=16^(1/2)x related? The output values of g(x) are one-half the output values of f(x) for

Goshia [24]

F(x) =16ˣ and g(x) = 16⁽ˣ/₂⁾

Since 16 = 2⁴, then we can write:

f(x) =2⁽⁴ˣ⁾ and g(x) = 2⁽⁴ˣ/₂⁾ = 2²ˣ

for x = 1 f(x) = 2⁴ = 16
for x = 1 g(x) = 2² = 4
(√16 = 4)

for x = 2 f(x) = 2⁸ = 256
for x = 2 g(x) = 2⁴ =16
(√256) = 16

for x = 3 f(x) = 2¹² = 4096
for x = 1 g(x) = 2⁶ = 64
(√4096 = 64)

We notice that:
The output values of g(x) are the square root of the output values of f(x) for the same value of x.

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2 years ago

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Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To c

Charra [1.4K]

Answer is 8 liters
Reason
1 to 4 is the same as 2 to 8
So 2 concentrate to 8 water

4 0

1 year ago

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

<u>step 2:-</u>

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

<u></u> $AC^2 = AB^2 + BC^2$ <u></u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

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3 years ago

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Find the missing side number 1 and 2.

Tamiku [17]

Answer:

Step-by-step explanation:

1 is 13.86 2 is 16

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A baby narwhal is born at 1 meter in length and grows / meter in length each year. Write an

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Answer:

what subject is this for

Step-by-step explanation:

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