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antoniya [11.8K]
3 years ago
7

Factor 16p2 + 24p + 9

Mathematics
2 answers:
Kisachek [45]3 years ago
4 0
The answer is (4p+3)^2
Pepsi [2]3 years ago
3 0

Answer:

\Huge\boxed{56p+9}

Step-by-step explanation:

To solve this problem, first you have to find the factors of 16p2+24p+9 from left to right.

<h3><u>Given:</u></h3>

16p2+24p+9

<h3><u>Solutions:</u></h3>

First, use distributive property.

\large\boxed{\textnormal{DISTRIBUTIVE PROPERTY}}

\displaystyle A(B+C)=AB+AC

Multiply the numbers from left to right.

\displaystyle 16*2=32

\displaystyle 32p+24p+9

Next, add the numbers from left to right.

Add similar elements from left to right.

\displaystyle 32+24=\boxed{56}

\large\boxed{56p+9}

Therefore, the correct answer is 56p+9.

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Answer:

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3 years ago
What is the product of (-3s+2t(4s-t)
galben [10]
Use the FOLD method<span>
(a+b)(c+d)=ac+ad+bc+bd

</span><span>−12<span>s<span><span>​^2 </span><span>​​</span></span></span>+ 3st + 8ts − 2<span>t<span><span>​^2</span><span>​​

</span></span></span></span>Collect like terms
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Simplify
<span>-12{s}^{2}+11st-2{t}^{2}<span>−12<span>s<span><span>​2</span><span>​​</span></span></span>+11st−2<span>t<span>​<span>2

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5 0
3 years ago
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vodomira [7]

Answer:

x<-3

Step-by-step explanation:

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7 0
2 years ago
What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl
Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

A(t) = A(0)(1+r)^t

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that r = 0.05, and thus:

A(t) = A(0)(1+r)^t

A(t) = A(0)(1+0.05)^t

A(t) = A(0)(1.05)^t

Time for the balance to triple?

This is t for which A(t) = 3A(0). So

A(t) = A(0)(1.05)^t

3A(0) = A(0)(1.05)^t

(1.05)^t = 3

\log{(1.05)^t} = \log{3}

t\log{1.05} = \log{3}

t = \frac{\log{3}}{\log{1.05}}

t =  22.52

It takes 22.52 years for the balance to triple in value.

3 0
3 years ago
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