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2 years ago

Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.

Mathematics

1 answer:

Evgen [1.6K]2 years ago

7 0

Answer:

Step-by-step explanation:

(f/g)(x)

= $\frac{f(x)}{g(x)}$

= $\frac{2x}{3x-2}$ ← substitute x = 2 into the expression

= $\frac{2(2)}{3(2)-2}$

= $\frac{4}{6-2}$

= $\frac{4}{4}$

= 1

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The Hudson high school wrestling team just won the state tournament and have been awarded a triangular pennant to hang on the wa

Eduardwww [97]

Answer:

3 feet.

Step-by-step explanation:

Base of the triangular pennant = 1.5 feet long.
Area of the triangular pennant = 2.25 Square feet.

Now, we know that:

Area of a Triangle $=\frac{1}{2}$ X Base X Height$

Substituting the given values, we have:

$2.25=\dfrac{1}{2}$ X 1.5 X Height\\\\2.25=$\dfrac{1.5}{2}$ X Height\\\\Cross multiply\\\\2.25*2=1.5 X Height\\\\Divide both sides by 1.5 to solve for the height\\\\\dfrac{2.25*2}{1.5}=\dfrac{1.5 X Height}{1.5}\\\\$Height of the Triangle =3 feet$

Therefore, the height of the pennant is 3 feet.

5 0

3 years ago

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Nesterboy [21]

Answer:

x . 2 = y

Step-by-step explanation:

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8 0

3 years ago

Solve two sevenths times four sixths . (2 points) Group of answer choices six forty seconds eight forty seconds six thirteenths

Maksim231197 [3]

Given:

The statement is "two sevenths times four sixths".

To find:

The value of the product.

Solution:

Two sevenths times four sixths can be written as:

$\dfrac{2}{7}\times \dfrac{4}{6}$

It can be rewritten as:

$\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{2\times 4}{7\times 6}$

$\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{8}{42}$

The answer of given expression is eight forty seconds.

Therefore, the correct option is B.

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3 years ago

Find a number which in which added square<br>sum will be 72.

Tom [10]

Answer:

8.48528137424^2

Step-by-step explanation:

8.48528137424x8.48528137424

= 72

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3 years ago

chole was unboxing some of her old winter clothes. she found four boxes of clothing and inside each box there were two scarves a

kolezko [41]

Answer:

6x4= 24 add the two scarves 8x4=32

Step-by-step explanation:

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3 years ago