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2 years ago

Keith used the following steps to find the inverse of f, but he thinks he made a error

Mathematics

1 answer:

astra-53 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

$\Large \boldsymbol{} f(x) \ \ inverse \ \ function \ \ (f(x))^{-1} \\\\ y=7x+5 \\\\x=7y+5 \\\\ y=\dfrac{x-5}{7} \ \ or \ \ f(x)^{-1}= \dfrac{x-5}{7}$

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Olivia takes a trip to visit her aunt who lives 120 mi. away. Olivia's car can travel 24 miles per gallon of gasoline. If gasoli

Paladinen [302]

Answer:

$15

Step-by-step explanation:

Given that :

Aunt's distance = 120 miles

Miles per gallon of Olivia's car = 24 miles per gallon

Cost of gasoline = 3 per gallon

Cost of gasoline for the trip :

(Aunt's distance / miles per gallon) * cost of gasoline per gallon

(120 miles / 24 miles per gallon) * 3

5 * 3 = $15

Cost of gasoline for the trip = $15

8 0

3 years ago

What si the meaning of 3:4

garik1379 [7]

Answer:

3:4 is a ratio

Step-by-step explanation:

so every 3 cats their are 4 dogs ect

3 0

3 years ago

Read 2 more answers

Find the slope of the line containing the points (1, 2) and (6, 12).

Sholpan [36]

Answer:6

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

2. You are given the hyperbolic relation modeled by xy = -2. Do the following: a) Rewrite the relation such that the dependent v

N76 [4]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The given equation is :

$xy = - 2$

1. The relationship such that dependent variable (y) is isolated is :

$y = \dfrac{ - 2}{x}$

2. The table accompanying this equation :

x = -4 and y = 0.5

x = -1 and y = 2

x = - 0.5 and y = 4

x = 0 and y = undefined

x = 0.5 and y = -4

x = 1 and y = -2

x = 4 and y = -0.5

3. graph of the given equation is in attachment ~

4 0

2 years ago

Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.

Sav [38]

Answer:

$-9(\frac{2}{3}x) + 9(1)\\ \\-6x + 9$

Explanation:

Before we begin, remember the following rules:

1- Distribution property:

$a(b+c) = ab+ac$

2- Simplification of fractions:

$\frac{xy}{yz}=\frac{x}{z}$

3- Signs in multiplication:

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

Now, for the given problem, we have:

$9 (\frac{2}{3}x + 1)$

Starting with the distributive property:

$-9 (\frac{2}{3}x +1) = -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)$

..................>This corresponds to option 1

Now, we simplify the output from the above step:

$-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9$

................> This corresponds to option 5

Hope this helps :)

4 0

3 years ago

Read 2 more answers