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2 years ago

Simplify: (-5a³-7a² +3)+(-9a³ +5a² +9)

Mathematics

1 answer:

DedPeter [7]2 years ago

3 0

Answer: =−14a3−2a2+12

Step-by-step explanation:

−5a3−7a2+3−9a3+5a2+9

=−5a3+−7a2+3+−9a3+5a2+9

Combine Like Terms:

=−5a3+−7a2+3+−9a3+5a2+9

=(−5a3+−9a3)+(−7a2+5a2)+(3+9)

=−14a3+−2a2+12

Answer:

=−14a3−2a2+12

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2 years ago

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2 years ago

Last Sunday a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the stor

Marat540 [252]

Answer:

D. $\frac{400p}{500-p}$

Step-by-step explanation:

let's call A the number of copies sold of newspaper A and B the number of copies sold of newspaper B.

So, we can formulate the following equations from the sentence: a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each as:

A + B = 256 (1)

1A + 1.25 B = Total Revenue (2)

Then, r and p are equal to:

$r=\frac{A}{Total Revenue}*100=\frac{100A}{A+1.25B}$ (3)

$p=\frac{A}{256} *100=\frac{100A}{256}$ (4)

Isolating A from (4) and B from (1), we get:

$A=\frac{256p}{100} =2.56p$ (5)

$B=256-A=256-2.56p$ (6)

Finally, replacing (5) and (6) in (3), we get:

$r=\frac{100A}{A+1.25B}=\frac{100(2.56p)}{2.56p+1.25(256-2.56p)}\\\\r=\frac{256p}{2.56p+320-3.2p}=\frac{256p}{320-0.64p}\\\\r=\frac{256p/0.64}{(320-0.64p)/0.64}=\frac{400p}{500-p}$

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3 years ago

I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem i

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We know that the law of sines states that:

$\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}$

For simplicity, let:

$\beta=m\angle A_1BC$

In triangle A1BC this leads to:

$\begin{gathered} \frac{\sin31}{5}=\frac{\sin\beta}{6} \\ \sin\beta=\frac{6}{5}\sin31 \\ \beta=\sin^{-1}(\frac{6}{5}\sin31) \\ \beta=38.174 \end{gathered}$

Therefore:

$m\angle A_1BC=38.174$

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$m\angle CA_2B=180-38.174=141.826$

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1 year ago

A technician charges P 400 per hour and spends P 500 a day on gasoline. Write an alcat expression to represent his earnings for

Basile [38]

Answer:

y=400*x-500

Step-by-step explanation:

The expression that represents the problem is:

y=400*x-500

Function y represents earnings for one day.

400 is the fixed number that is charge for one hour work

x represents the number of hours that the technician has worked for one day

To find the total earnings you should multiply the fixed charge for one hour work (400) by the number of hours worked in a day.

Then you need to substract the cost of gasoline in a day, it is 500 and it is a constant in the equation since it doesn't depend on the number of hours worked.

So, the function is:

y=400*x-500

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2 years ago

Simplify: (-5a³-7a² +3)+(-9a³ +5a² +9)​

Simplify: (-5a³-7a² +3)+(-9a³ +5a² +9)