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Over [174]
3 years ago
13

If f(x) and r1(x) are inverse functions of each other and f(x)=2x+5 , what is f^-1(8) ?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0

Answer:

3/2

Step-by-step explanation:

Given y = 2x + 5, let's rewrite the equation in terms of x;

y = 2x + 5 => Bring 5 to the other side

2x = y - 5 => Divide either side by 2

x = (y - 5)/2

If we want to take the inverse, simply swap the variable's positions...

We have y = (x - 5)/2

Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1

f^-1(8) = (8 - 5)/2 = 3/2

Solution: 3/2

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Use the table from Callie's Candies to answer the question.
frez [133]
We can use logic along with 3 linear equations to solve this problem.

For the three types of candies, we will write a slope-intercept form equation. We know what m (slope) is for each equation, and there is no y-intercept because there is no starting point.

Equations:

Mints: y=.96x
Chocolates: y=4.70x
Lollipops: y=.07x

Using the given information, we can use the equations in function form. We know what x (input) is for all three types of candy, and that will give us y (output), which is the total for that candy type.

Solving:

Mints: y=.96(.75)
Chocolates: y=4.70(1.5)
Lollipops: y=.07(15)
We just input our information into the equations. Using logic, we know that we will have to multiply the cost of the candy by the number of candies to get the total of the three types.

Totals:

Mints: y=.72
Chocolates: y=7.05
Lollipops: y=1.05.
*Recall that y=total cost of candy for each type.

Now, we just simply add the three costs up to get the total sum that the candy will cost:

.72+7.05+1.05=8.82

Therefore, all the candy will cost $8.82.
6 0
3 years ago
10 5/18-8 5/6 = anyone know
marshall27 [118]
The equation given is:
10 5/18 - 8 5/6
Turn the equations to improper fractions
[10*18 +5] = 185
[8 * 6 + 5]= 53
185/18 - 53/6
[185 - 159]/18 = 26/18
26/18 = 1 8/18.
8 0
4 years ago
Which transformation or sequence of transformations maps ABC to A'B'C' ?
Margarita [4]

Answer: I believe that it is C, might be B but I am pretty sure that it is a reflection in the X axis. I would go with C, Hope this helps you

Step-by-step explanation:

5 0
3 years ago
Please help me asap! giving brainliest
Vinil7 [7]

Answer:

angle ABC= 2* 61= 122

Step-by-step explanation:

6 0
3 years ago
A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the sales
Maslowich

Answer:

a.) Probability = 1/5

b.) 10 soda

Step-by-step explanation:

Probability is a game of chance.

The initial chance = 1/12

If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5

Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,

Probability > 1/2

You would have to buy (12 - 2) soda. Which is equal to 10.

6 0
3 years ago
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