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Lemur [1.5K]
3 years ago
13

Which equation is equivalent to the formula below?

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

B-is correct

Step-by-step explanation:

y=a(x-h)^2+k

-k               -k

y-k=a(x-h)^2

:(x-h)^2    :(x-h)^2

(y-k)/(x-h)^2 =a

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A jet ski depreciates at 11% of its original value each year. If the jet ski was $8,000 at its time of purchase, what is the val
dsp73
Compounded depreciation formula:

A = P(1 - r)ⁿ , where P = original price, r= rate of depreciation, n = number of years and A = actual value (after depreciation):

A= $8000(1 - 11%)⁵ = 8000(0.89)⁵ = 4,467.24 ≈$4,467
4 0
3 years ago
Read 2 more answers
What is the slope of the table x= 2, 0, -2, -4 y= 6, 1, -4, -9
Murrr4er [49]

Answer:

The slope of the table is m=\frac{5}{2}   or  m=2.5

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the following ordered pairs

(2,6),(0,1),(-2,-4) and (-4,-9)

take two points

(2,6) and (-4,-9)

substitute in the formula

m=\frac{-9-6}{-4-2}

m=\frac{-15}{-6}

simplify

m=\frac{5}{2}

6 0
3 years ago
Explain how to multiply the following whole numbers 21 x 14
Lesechka [4]

Answer:

\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}

________

\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}

Step-by-step explanation:

Given

21\:\times \:14

Line up the numbers

\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}

Multiply the bold numbers:    1×4=4

\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}

Multiply the bold numbers:    2×4=8

\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}

Multiply the top number by the bolded digit of the bottom number

\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}

Multiply the bold numbers:    1×1=1

\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}

Multiply the bold numbers:    2×1=2

\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}

Add the rows to get the answer. For simplicity, fill in trailing zeros.

\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}

adding portion

\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}

Add the digits of the right-most column: 4+0=4

\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}

Add the digits of the right-most column: 8+1=9

\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}

Add the digits of the right-most column: 0+2=2

\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}

Therefore,

\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}

________

\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}

6 0
3 years ago
-12-x&gt;-12+4x<br> put the steps too pls thanks
andrey2020 [161]

Answer:

x < 0

Step-by-step explanation:

Firstly put the values with variable x to one side,

; -12 - x > -12 + 4x

; -12 + 12 > 4x + x

; 0 > 5x

then divide both sides by 5,

; (0 ÷ 5) > (5x ÷ 5)

; 0 > x

; Hence the solution to the inequality above,

; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,

Therefore...( x < 0 )

3 0
3 years ago
How Do I solve this I am quite confused
Kazeer [188]

Answer:

$11,714

Step-by-step explanation:

C(x) = 0.7x² - 462x + 87,944

this is a quadratic equation that opens up

the vertex will be the minimum

From the quadratic formula the x coordinate of the vertex is

x = -b/2a

x = 462/(2 * 0.7)

x = 330

Plug in

c(330) = 0.7(330²) - 462(330) + 87,944

c(330) = 11,714

$11,714

5 0
3 years ago
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