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Hoochie [10]
3 years ago
13

Need some assistance yall look at picture :) Algebra 2 type vibe

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

It is C.

III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.

f(g(x)) = 3(\sqrt[3]{\frac{x-2}{3} })^3 + 2

f(g(x)) = 3[(x-2)/3]+2

f(g(x)) = x-2 + 2

f(g(x)) = x

Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.

fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).

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Write the slope intercept form of the equation of the line through the given point
ozzi

Answer:

y =  -\frac{3}{4}x

Step-by-step explanation:

slope-intercept form: y = mx + b

Given: slope(m) = -\frac{3}{4}, point (4, -3)

We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:

-3 =  -\frac{3}{4}(4) + b

Solve for b:

-3 =  -\frac{3}{4}(4) + b

-3 = -3 + b

0 = b

The value of b is zero. We can now write the equation:

y =  -\frac{3}{4}x + 0

y =  -\frac{3}{4}x

The equation written in slope-intercept form is: y =  -\frac{3}{4}x

8 0
3 years ago
At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of
Westkost [7]

Answer: 22/21

Step-by-step explanation:

2 cakes : 7 donuts      →   6 cakes : 21 donuts

3 cakes : 11 brownies  →  6 cakes : 22 brownies

22 brownies : 21 donuts

Now, simply write this as a fraction. 22/21

7 0
3 years ago
Read 2 more answers
In the x-y plane, what is the y- intercept of the graph of the equation y=6 (x-1/2) (x+3)
Ivenika [448]

The y-intercept on the x-y plane is (0, -9).

<h3 /><h3>How to get the y-intercept?</h3>

To get the y-intercept we just need to evaluate in x = 0.

Here we have:

y = 6*(x - 1/2)*(x + 3)

Evaluating the given equation in x = 0 we get:

y = 6*(0 - 1/2)*(0 + 3) = -9

Then the y-intercept on the x-y plane is (0, -9).

If you want to learn more about y-intercepts:

brainly.com/question/1884491

#SPJ1

6 0
2 years ago
The sales tax on a surfboard is $12. What is the percent of sales tax?
Rudik [331]
X= sales tax %

Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)


Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
=5 %

The sales tax is 5%.

Hope this helps! :)


8 0
3 years ago
A machine that fills 12-quart size packages of ice cream runs 8 hours a day, 7 days a week. The machine fills 900 ice cream pack
otez555 [7]

Answer:

Number of ice cream packaged each week = 604,800 Ice cream

Step-by-step explanation:

Given:

One package = 12 ice cream

Per day packing = 8 hour

Number of days work in a week = 7 days

Per hour packing = 900 package

Find:

Number of ice cream packaged each week :

Computation:

⇒ Number of ice cream packaged each week = Number of days work in a week × Per day packing hour × Per hour packing × Per package ice cream

⇒ Number of ice cream packaged each week = 7 × 8 × 900 × 12

⇒ Number of ice cream packaged each week = 604,800 Ice cream

8 0
3 years ago
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