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Vladimir [108]
2 years ago
14

In the following exercises, multiply the binomials. Use any method. 249. (6p + 5)(p + 1)

Mathematics
1 answer:
scoundrel [369]2 years ago
7 0

Answer:

Hence the expression $$(6p+5)(p+1)=6p^2+11p+5$$

Step-by-step explanation:

Explanation

  • The given expression is (6p+5)(p+1).
  • We have to multiply the given expression.
  • Multiply the (6p+5) by 1 , multiply the (6p+5) by p then add like terms.

$$\frac{\begin{matrix}{} & {} & 6p & + & 5 \\ \times & {} & p & + & 1 \\ \end{matrix}}

_____________

{\frac{\begin{matrix}{} & {} & 6p & + & 5 \\ 6{{p}^2} & + & 5p & {} & {} \\ \end{matrix}}{\begin{matrix}6{{p}^2} & + & 11p & + & 5 \\ \end{matrix}}}$$

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A rectangular prism with a volume of 45 cubic centimeters and a height of 3 cm has a base with an area of
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Answer:

Area: 15cm^2

Base: 5cm

Step-by-step explanation:

The volume of a Rectangular Prism is given as:

V= wlh

Where W = Base

L = Length

H= Height

From the question:

The Volume V = 45cm^3

The Height H = 3

But, Area = Length * Width

Therefore :

Volume V = Area * Height

45 = A * 3

A = 45/3

A= 15cm^2

Solving for Base:

Area = height * Base

15 = 3 * Base

Base = 15/3

Base = 5cm

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3 years ago
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Answer:

The correct answer is 3/5

Step-by-step explanation:

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3 years ago
What is 6x7+4-3x(4-8)
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2 years ago
4. James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They
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$ 159,744.59 will be in the account after 20 years.

Answer: Option A

<u>Step-by-step explanation:</u>

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          \text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)

Here  

p : amount deposit monthly =$500

r : rate of interest  = \frac{2.75}{100} = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    \text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)

    \text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)

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3 years ago
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