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2 years ago

How do you do ordered pairs

1 answer:

7 0

Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

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An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t

Juliette [100K]

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

7 0

3 years ago

Determine the measure of angle a. PLEASE HELP ASAP!

wlad13 [49]

Answer:

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

$(9x+6)+(74)+(16x)=180\\$

Let’s solve for x:

Combine LIke Terms:

$(9x+16x)+(74+6)=180$

Add:

$25x+80=180$

Subtract 80 from both sides:

$25x=100$

Divide both sides by 25:

$x=4$

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

$\angle A=9x+6$

Substitute 4 for x and evaluate:

$\angle A=9(4)+6=36+6=42\textdegree$

Hence, our answer is D.

6 0

3 years ago

What is the equation of a line that contains the point (6,-4) and has a slope of 3/4?

elixir [45]

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

3 0

2 years ago

What would you multiply by to decrease an amount by 95%?

Crazy boy [7]

Answer:

-0.95

Step-by-step explanation:

Divide the percent by 100 and since you are decreasing it would be a negative.

4 0

3 years ago

John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. H

3241004551 [841]

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\qquad \qquad \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{daily, so in a year is 365}
\end{array}\to &365
\end{cases}
\\\\\\
\left(1+\frac{0.035}{365}\right)^{365}-1$

you'll get a decimal format, just multiply it times 100, to get the % format

6 0

3 years ago

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