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Tanya [424]
3 years ago
10

I don't get this at all and it's confusing me

Mathematics
1 answer:
agasfer [191]3 years ago
3 0
I dont have a couculator but ill tell you how to get the answer 12÷8 then moltiply by five... then 14÷7 then moltiply by 3 then add ur first and second answer to get the final answer
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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
Read 2 more answers
How did business leaders in the late nineteenth century utilize vertical integration? a. They maintained control of the raw mate
bulgar [2K]

Business leaders in the late nineteenth century utilized vertical integration by maintaining control of production and distribution of their products.

Answer: Option C

<u>Explanation: </u>

Vertical integration is a competitive strategy that gives the company full control over one or more stages of product production or distribution. Rockefeller tirelessly tried to take full control of business 'oil refinery'. While other business people were flooding the area in search of quick fortune, Rockefeller was thinking of destroying his rivals and creating a real monopoly in the refining industry.

Looking for even more control, Rockefeller saw the benefits of organizing the transportation to his products. Then, he began to develop his business through vertical integration, in which the company analyses all aspects of the product life cycle, from raw material extraction, through the production process, to the final delivery of the product.

Other industrialists quickly followed, including Gustavus Swift, who at the end of the 19th century used vertical integration to dominate the American meat packaging industry.

3 0
3 years ago
Ayden's monthly bank statement showed the following deposits and withdrawals:
kumpel [21]
$65.91 should be the account balance at the end of the month
3 0
3 years ago
the total cost of a belt and a jacket was $82.78 if the price of the belt was $0.86 less than the jacket what was the price of t
Aloiza [94]
B=bellt price
j=jacket price

b+j=82.78

belt is 0.86 less than jacket
b=j-0.86
add 0.86 to both sides
b+0.86=j
sub
b+b+0.86=82.78
2b+0.86=82.78
minus 0.86 from both sides
2b=81.92
divid both sides by 2
b=40.96


belt=$40.96
6 0
3 years ago
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There are 535 students going on a trip each bus holds 73 students how many buses will I need
Dahasolnce [82]
8 buses is what you need
5 0
4 years ago
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