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zhenek [66]
3 years ago
5

If I wanted to change the vertex of a quadratic function from (2,3) to (-1,6), what form would you use and what would you do to

it?
Mathematics
1 answer:
vampirchik [111]3 years ago
3 0
This is a translation and it is most easily done with the vertex from of the equation. change vertex to (-1,6): y=a(x+1)+6
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4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
Anon25 [30]

Answer:

Form an equation:

let x be the price of a shirt

Then, the price of a sweater would be x - 5

So you would have:

4(x - 5) + 3x = 200

simplify

4x - 20 + 3x = 200

7x - 20 = 200

add 20 to both sides

7x = 220

divide both sides by 7

x = about 31.43

That means the cost of the sweater would be 31.43 - 5 = 26.43

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Common core math if Amanda walks an average speed of 2.72 miles per hour, how long will it take for her to walk 6.8 miles
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3 years ago
The principal amount, $5500, earns 3.75% interest compounded continuously.
Eva8 [605]

Answer:

a)

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

\:\:A=Pe^{rt}

substituting the values

A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}

A=5500\cdot \:2.71828^{0.225}

A = $ 6,887.77 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

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3 years ago
Find the solution The graph represents this system of equations.
solong [7]
The solution is the coordinates of the point of intersection 

That is (3 , 1)

Its the last choice.
7 0
3 years ago
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What are the single digit prime numbers
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Answer:

The only single-digit prime numbers are: 2, 3, 5, and 7.

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