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slava [35]
3 years ago
11

Find the product.

Mathematics
2 answers:
rusak2 [61]3 years ago
5 0
The product of (3p-7)(3p+7) is a. 9p^2-49
aliina [53]3 years ago
4 0
(3p - 7)(3p + 7) has the form of (a-b)(a+b).
So (a-b)(a+b)= a^2-b^2.
So in (3p - 7)(3p + 7), a=3p and b=7.
So (3p - 7)(3p + 7) = 3p^2 + 7^2 = 9p^2-49.
So (3p-7)(3p+7)= 9p^2 - 49.

You can check your answer (very important):
We'll use p=1.
(3-7)(3+7) = -40
9-49 = -40
The answer has been approved.

Hope this Helps! :)
You might be interested in
Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain
Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b and 3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b.

Substituting the value of b=1,

2\left(1\right)+\left(1\right)=2+1=3 ....1

Substituting the value of b=2,

2\left(2\right)+\left(2\right)=4+2=6 ....2

Substituting the value of b=3,

2\left(3\right)+\left(3\right)=6+3=9 ....3

Consider second expression that is, 3b.

Substituting the value of b=1,

3\left(1\right)=3 ....4

Substituting the value of b=2,

3\left(2\right)=6 ....5

Substituting the value of b=3,

3\left(3\right)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0
2 years ago
Carlos has scored 83, 81, and 73 on his previous three tests. What score does he need on his next test so that his average (mean
disa [49]

Answer:

95

Step-by-step explanation:

let x be his mark in the fourth test, then

mean = \frac{83+81+73+x}{4} = 83 ( multiply both sides by 4 )

83 + 81 + 73 + x = 332

237 + x = 332 ( subtract 237 from both sides )

x = 95


8 0
3 years ago
The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W
mario62 [17]

Answer:

\$63,163.16

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

a=58,353\\r=2\%=2/100=0.02

substitute

y=58,353(1+0.02)^x

y=58,353(1.02)^x

For x=4 years

y=58,353(1.02)^4=\$63,163.16

4 0
3 years ago
Solve to find x.<br> 7x - 12 = x - 6
Annette [7]

Hi,

7x - x = - 6 + 12

6x = 6

x = 6/6 = 1

3 0
2 years ago
2.<br> A line goes through the points (0, 10) and (-1, 1).<br> 2a<br> What is the slope of the line?
sashaice [31]

Answer:

9

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1 -10)/(-1 -0)

   = -9/-1

   = 9

6 0
2 years ago
Read 2 more answers
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