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3 years ago

For the function f(x)=8(x+10), find f^-1(x)

1 answer:

6 0

In other words, find the inverse of the given function f(x).

1. Replace f(x) with "y." y = 8(x+10)
2. Interchange x and y: x = 8(y+10)
3. Solve this for y: y+10 = x/8, or y = x/8 - 10

-1
4. Replace "y" with "f (x) "

-1 x-80
f (x) = ---------- (Answer)
8

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Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items wer

Tomtit [17]

See the attached figure
===========================
After 3 days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is 27.

======================================================
Explanation of the answer:
The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph

The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph

The point of intersection represents the total number of belts sold will be the same as the total number of wallets sold.

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3 years ago

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Is anyone able to help me with this question, if you understand it ?

lana [24]

Answer:

X = 3.879 Y = 2.943

Step-by-step explanation:

I entered both functions into my graphing calculator and graphed them. Then, I clicked 2nd Calc to find the intersection point to which it said the answer above. Hope this helped.

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3 years ago

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Kurt has driven 276 miles of his road trip but has 70% of the trip left to go. How many more miles does Kurt have to drive to ge

elena-s [515]

Answer:

276 is equal to 30%.

Let x miles to drive to get his destination.

Thus, remained 70%.

276/x = 30/70

X = 644 miles to go.

Step-by-step explanation:

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3 years ago

The arithmetic sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = 15a 1 =15a, start subsc

daser333 [38]

Answer:

-1,512,390

Step-by-step explanation:

Given

a1 = 15

$a_i = a_{i-1} -7$

Let us generate the first three terms of the sequence

$a_2 = a_{2-1}-7\\a_2 = a_1 - 7\\a_2 = 15-7\\a_2 = 8$

For $a_3$

$a_3 = a_{3-1}-7\\a_3 = a_2 - 7\\a_3 = 8-7\\a_3 = 1$

Hence the first three terms ae 15, 8, 1...

This sequence forms an arithmetic progression with;

first term a = 15

common difference d = 8 - 15 = - -8 = -7

n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)

Using the formula;

$S_n = \frac{n}{2}[2a + (n-1)d]\\$

Substitute the given values;

$S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390$

Hence the sum of the first 660 terms of the sequence is -1,512,390

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3 years ago

Mick paid 2.94 in sales tax on an item that costs 42 dollars before tax. At that rate how much would he pay in sales tax for an

djverab [1.8K]

Mick would pay $4.06 in sales tax for an item that costs $58.00.

This can be found by working backwards in the problem. By dividing that sales tax paid (2.94) by the dollars before tax (42), you get a percentage that should equal the percentage of the total paid for tax.

2.94 ÷ 42 = 0.07

This means that the sales tax is 7% of the total prior to tax. So we'd then multiply our dollars (58) with the sales tax in decimal form (0.07)

58.00 × 0.07 = 4.06

Hope I could help!

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3 years ago

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