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serious [3.7K]
3 years ago
15

1. Add or subtract. Show your work for each problem.

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
Hi there!

a. 8x^2 - 1
(x^2 - 4x + 5) + (7x^2 + 4x - 6)
= x^2 + 7x^2 - 4x + 4x - 1
= 8x^2 - 1

b. 5x^2 + 7x - 7
(7x^2 + 4x - 6) - (2x^2 - 3x + 1)
= 7x^2 + 4x - 6 - 2x^2 + 3x - 1
= 7x^2 - 2x^2 + 4x + 3x - 6 - 1
= 5x^2 + 7x -7

Hope this helps!
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What is the slope of a line that goes through the points (-1,2) and (1, 4)?
oksian1 [2.3K]

Answer:

1

Step-by-step explanation:

We can use the slope formula

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

    = ( 4-2)/(1 - -1)

    = (4-2)/(1+1)

      = 2/2

    = 1

4 0
3 years ago
the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width
bekas [8.4K]
Perimeter of rec. = 2 ( l + w )

Given: perimeter of rectangle = 322m, length = 86m

Required: width = ?

Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75

4 0
3 years ago
If the following fraction is reduced, what will be the exponent on the p? - 5p^5q^4/8p^2q^2 5 4 3 2
SSSSS [86.1K]
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
-\cfrac{5p^5q^4}{8p^2q^2}\implies -\cfrac{5}{8}\cdot \cfrac{p^5q^4}{p^2q^2}\implies -\cfrac{5}{8}\cdot p^5p^{-2}q^4q^{-2}
\\\\\\
-\cfrac{5}{8}\cdot p^{5-2}q^{4-2}\implies -\cfrac{5\stackrel{\downarrow }{p^3}q^2}{8}
8 0
3 years ago
Read 2 more answers
Simplify. 5 - [ - ( - 2)]
Nimfa-mama [501]

Answer:

3

Step-by-step explanation:

1. A - times a - equals a +, which means [-(-2)] equals (2)

2. 5- (2) equals 5 - 2

3. 5-2= 3

6 0
3 years ago
Read 2 more answers
50 POINTS, HELP
vazorg [7]

Answer:

a(n) = -351+8(n-1)

Step-by-step explanation:

This is an arithmetic sequence.  Each new term is equal to the sum of the previous term and 8.

The expression you want is   a(n) = -351+8(n-1)

8 0
4 years ago
Read 2 more answers
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