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Stolb23 [73]
3 years ago
9

???????????anybody helppp

Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

B) 24 p-35

Step-by-step explanation:

<u>Step :1</u>

<u>A</u>pply distributive property  a.(b+c) = a.b+a.c

Given data 1+4(6 p-9)

                                 = 1+4.6 p - 4.9

multiply

                                 = 1+ 24 p - 36

subtracting

                                 = 24 p - 35

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❊ Simplify :
DiKsa [7]

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to simplify:

\displaystyle \frac{a+2}{a^2+a-2}+\frac{3}{a^2-1}

First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:

\displaystyle =\frac{a+2}{(a+2)(a-1)}+\frac{3}{(a+1)(a-1)}

Now, create a common denominator. To do this, we can multiply the first term by (<em>a</em> + 1) and the second term by (<em>a</em> + 2). Hence:

\displaystyle =\frac{(a+2)(a+1)}{(a+2)(a-1)(a+1)}+\frac{3(a+2)}{(a+2)(a-1)(a+1)}

Add the fractions:

\displaystyle =\frac{(a+2)(a+1)+3(a+2)}{(a+2)(a-1)(a+1)}

Factor:

\displaystyle =\frac{(a+2)((a+1)+3)}{(a+2)(a-1)(a+1)}

Simplify:

\displaystyle =\frac{a+4}{(a-1)(a+1)}

We can expand. Therefore:

\displaystyle =\frac{a+4}{a^2-1}

Problem 2)

We want to simplify:

\displaystyle \frac{1}{(a-b)(b-c)}+\frac{1}{(c-b)(a-c)}

Again, let's create a common denominator. First, let's factor out a negative from the second term:

\displaystyle \begin{aligned} \displaystyle &= \frac{1}{(a-b)(b-c)}+\frac{1}{(-(b-c))(a-c)}\\\\&=\displaystyle \frac{1}{(a-b)(b-c)}-\frac{1}{(b-c)(a-c)}\\\end{aligned}

Now to create a common denominator, we can multiply the first term by (<em>a</em> - <em>c</em>) and the second term by (<em>a</em> - <em>b</em>). Hence:

\displaystyle =\frac{(a-c)}{(a-b)(b-c)(a-c)}-\frac{(a-b)}{(a-b)(b-c)(a-c)}

Subtract the fractions:

\displaystyle =\frac{(a-c)-(a-b)}{(a-b)(b-c)(a-c)}

Distribute and simplify:

\displaystyle =\frac{a-c-a+b}{(a-b)(b-c)(a-c)}=\frac{b-c}{(a-b)(b-c)(a-c)}

Cancel. Hence:

\displaystyle =\frac{1}{(a-b)(a-c)}

4 0
3 years ago
Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean te
aksik [14]
Mean is same as average

to find average
add up terms
divided that sum by the number of terms you have
example

mean of x,y,z
x+y+z
3 terms
(x+y+z)/3=mean



so
represent next test score as x
89+94+82+84+98+x
count how many terms ther are (6 terms)

mean is 90
(89+94+82+84+98+x)/6=90
add the like terms
(447+x)/6=90
multiply both sides by 6 to clear fraction
447+x=540
subtract 447 from both sides
x=93

she needs a score of 93 on next test
8 0
3 years ago
Read 2 more answers
A boat leaves a pier and travels 15 miles due east, then turns and travels 15 miles in the direction N 20 E. Which diagram repre
Fed [463]

Answer:

I chose B

Step-by-step explanation:

Because it goes north and east, and i got an 84

8 0
3 years ago
Read 2 more answers
One number is 5 less than 3 times the second number. The sum of the numbers is 127.
larisa86 [58]

Answer:

94 and 33

Step-by-step explanation:

x = 3y - 5

x + y = 127

3y - 5 + y = 127   Substitute in (3y-5) for x

4y - 5 = 127

4y = 132

y = 33

127 - 33 = 94

3 0
3 years ago
36 is very much needed I can’t figure out the answer
evablogger [386]

the next number is -8 because what you are doing is dividing by -2

-128/-2 is 64

64/-2 is -32

-32/2 is 16

16/-2 is -8

4 0
3 years ago
Read 2 more answers
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