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3 years ago

How would I set this problem up?

Mathematics

1 answer:

Citrus2011 [14]3 years ago

5 0

how are you supposed to answer the question do you need to show your work

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Which of the following points lies on the graph of the inverse of f(x) = 6^(x + 1)?

svetlana [45]

F ( x ) = 6^(x+1)
y = 6^(x+1)
$x+1=log _{6}y \\ x = log _{6}y-1$
The inverse is:
$y = log _{6}x$
And when you plug in the values: x = 1, y = - 1:
- 1 = log 1 - 1
- 1 = 0 - 1
- 1 = - 1
so the answer is:
( 1, - 1 )

8 0

3 years ago

Find an approximate equation y=ab^x with the coordinates (0, 4) (3, 95)

bogdanovich [222]

We have $y=ab^{x}$

Plug in $(0, 4)$ :
$4=ab^{0}$ ⇒ $4=a$
So we now have $a$

Plug in $(3, 95)$ :
$95=4b^{3}$
⇒ $b^{3}=\frac{95}{4}$
⇒ $b=\sqrt[3]{\frac{95}{4}}$
which is approximately 2.874

So we get
$y=4(\sqrt[3]{\frac{95}{4}})^{x}$
or, in decimal form,
$y=4*2.874^{x}$

7 0

3 years ago

Please help me on this it’s due

olya-2409 [2.1K]

<h3>Answer: 5 cakes</h3>

================================================

Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\$

Do the same for the other mixed number 2 & 1/3.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\$

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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

$\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\$

The last step is to convert that result to a mixed number.

$\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\$

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

3 0

3 years ago

5(2x+6)= -4( -5 - 2x)+3x <br> Solve for x

lisov135 [29]

Answer: x = -7/2

Step-by-step explanation:

10x+ 30 = 20 +8x+ 3

10x+ 30=23+8x

10x-8x = 23-30

2x=-7

( a helpful app to help with these type of problems is photomath)

8 0

3 years ago

Devin's bank charges $1.75 for nonbank ATM withdrawals and $0.30 for each debit card transaction. Last month, Devin paid $8.25 i

nikdorinn [45]

Answer:

10 times

Step-by-step explanation:

3 nonbank atm withdrawals costs 5.25 and the total is 8.25 meaning the remaining must add up to 3. And if you multiply .3 by 10 it gives you 3

8 0

3 years ago