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4 years ago

The parent function is f(x)=2^x-1 +3 and the new function is g(x)=2^x+2 +5

Mathematics

1 answer:

ratelena [41]4 years ago

6 0

Answer:

B and C

Step-by-step explanation:

There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.

Graph

I'll try to do both. First the graph. (See below)

The red line is f(x)
The blue line is g(x)

The graph tells us that the line is shifted

2 units up (blue is above red) and
3 units to the left (blue is to the left of red)

Algebra.

g(x) = 2^[(x - 1) + 3] + 3 (+ 2)

The rewrite shows that +3 means left. +2 means up.

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3. Penny's family decided to go to the Splash Park.

Anestetic [448]

Answer:

21.25

Step-by-step explanation:

because 85$ divided by the 4 tickets is 21.25

6 0

3 years ago

Madelyn just graduated from college and owes $15,100 on her student loans. The bank charges a monthly interest rate of 0.2%. If

Dimas [21]

Answer:

$121

Step-by-step explanation:

A suitable calculator or spreadsheet can tell you the payment amount for the given loan values. The annual interest rate will be 12 times the monthly, rate, or 2.4%. The number of monthly payments in 12 years is 12×12 = 144.

A calculator shows the monthly payment will be about $121.

If you want to figure this "by hand," the amortization formula is used.

A = Pr/(1 -(1+r)^-t)

where P is the loan amount, r is the monthly interest rate, and t is the number of months.

A = 15100(0.002)/(1 -(1.002^-144)) ≈ 120.789 ≈ 121

The monthly payment would be $121.

7 0

3 years ago

a sailfish can swim up to 1 mile per hour less than one fifth the top speed of a peregrine falcon. Find the top speed that a sai

Citrus2011 [14]

top speed of a peregrine falcon is 240 miles per hour

240 x 1/5 = 48

48-1 = 47

sailfish can swim 47 miles per hour

7 0

3 years ago

Read 2 more answers

Whats 42 hundredths as a decimal ?

Natali5045456 [20]

42 hundredths as a decimal is 0.42

3 0

4 years ago

Read 2 more answers

Pls solve this question

just olya [345]

Answer:

${( \sqrt{ {x}^{ - 3} }) }^{5} = ({( {x}^{ - 3}) }^{ \frac{1}{2} } ) ^{5} \\ \\ = {x}^{ - 3 \times \frac{1}{2} \times 5} = {x}^{ - \frac{15}{2} } = \frac{1}{ {x}^{ \frac{15}{2} } }$

<em><u>Or ;</u></em>

${( \sqrt{ {x}^{ - 3} } )}^{5} = {( \sqrt{ \frac{1}{ {x}^{3} }} })^{5} = ( { \frac{ \sqrt{1} }{ \sqrt{ {x}^{3} } } })^{5} \\ \\ = ( { \frac{1}{ \sqrt{x} \sqrt{ {x}^{2} } } })^{5} = ({ \frac{1}{ x\sqrt{x} }})^{5} \\ \\ = ( \frac{ {(1)}^{5} }{ {x}^{5} ( \sqrt{x} )^{5} } ) = \frac{1}{ {x}^{5} \times {x}^{ \frac{1}{2} \times 5 } } \\ \\ = \frac{1}{ {x}^{5} \times {x}^{ \frac{5}{2} } } = \frac{1}{ {x}^{5} \sqrt{ {x}^{5} } } \\ \\ = \frac{1}{ {x}^{5} \sqrt{ {x}^{4} {x}^{1} } } = \frac{1}{ {x}^{5} \sqrt{x} \sqrt{( { {x}^{2} })^{2} } } \\ \\ = \frac{1}{ {x}^{5} {x}^{2} \sqrt{x} } = \frac{1}{ {x}^{7} \sqrt{x} } = \frac{ \sqrt{x} }{ {x}^{8} }$

3 0

2 years ago