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serg [7]
3 years ago
7

Perform the indicated operation and simplify the result.

Mathematics
2 answers:
harina [27]3 years ago
6 0

\frac{b^{2}-3b-10 }{(b-2)^{2} }·\frac{b-2}{b-5}=

\frac{(b-5)(b+2)}{(b-2)^{2} }·\frac{b-2}{b-5}=

\frac{(b+2)}{(b-2) }·\frac{1}{1}= (semplify)

result = \frac{(b+2)}{(b-2) }

poizon [28]3 years ago
6 0

Answer : The result is, \frac{(b+2)}{(b-2)}

Step-by-step explanation:

The given expression is:

\frac{b^2-3b-10}{(b-2)^2}\times \frac{(b-2)}{(b-5)}

First we have to make factors by middle term splitting method.

\frac{b^2-5b+2b-10}{(b-2)^2}\times \frac{(b-2)}{(b-5)}

Now we are taking common.

\frac{b(b-5)+2(b-5)}{(b-2)^2}\times \frac{(b-2)}{(b-5)}

\frac{(b-5)(b+2)}{(b-2)^2}\times \frac{(b-2)}{(b-5)}

By cancelling the terms, we get:

\frac{(b+2)}{(b-2)}\times \frac{1}{1}

\frac{(b+2)}{(b-2)}

Thus, the result is, \frac{(b+2)}{(b-2)}

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oksano4ka [1.4K]
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5. (I might not have gotten this one right btw) First you need to figure out how many books she read in one day.

6/5 = 1.2
Then multiply this number by 10

1.2 * 10 = 12
then multiply 1.2 * 20

1.2 * 20 =24

So Mr Barker can read 12 books in 10 days, and 24 books in 20 days.


6. change the mixed numbers to improper fractions

7/4 cups of cereal and 9/2 bowls of cereal

multiply the fractions together

7/4 * 9/2 = 63/8

change back to a mixed number

7 and 7/8

So Mr. N eats 7 and 7/8 cups of cereal every week (who measures out their cereal each morning anyway :), hope this helps!)
5 0
3 years ago
What volume of this pyramid with Height 8ft and Width 6Ft on one side and 6ft on the other side.
Fiesta28 [93]
\bf \textit{volume of a square pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
\begin{cases}
B=base=width\cdot length\\\\
h=height\\
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width=6\\
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7 0
3 years ago
write an expression to describe a rule for the sequence. Then find the 100th term in the sequence 3, 10, 17, 24, 31, 38, ...
blagie [28]
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3+7(5-1)
3+7(4)
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31
31 is the fifth terms.
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3 0
3 years ago
The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:
Alinara [238K]
The answer is 37 years old.

I = -425x² + 45500x -650000
I = 450000

-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0

Divide all factors by 25:
- 17x² + 1820x - 44000 = 0

This is quadratic equation (ax² + bx + c = 0)
x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-1820+/- \sqrt{ 1820^{2}-4*(-17)*(-44000) } }{2*(-17)} = \\  \\ = \frac{-1820+/- \sqrt{3312400-2992000 } }{-34} = \frac{-1820+/- \sqrt{320400} }{-34} =\frac{-1820+/- 566}{-34}  \\  \\ 
x_1= \frac{-1820+ 566}{-34}= -37 \\  \\ 
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Since, the youngest age is needed, the correct answer is x = 37
3 0
4 years ago
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Nata [24]

Answer:

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Step-by-step explanation:

Given

Length is l=3x^2+5x-8

Width is w=2x^2+6x

Perimeter of the rectangle is the sum of the sides

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Area is given by

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8 0
3 years ago
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