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3 years ago

CAN SOMEONE PLEASE HELP WITH THIS ONE QUESTION? IM GONNA GET IN TROUBLE LOL

Mathematics

1 answer:

Nostrana [21]3 years ago

8 0

Answer:

Step-by-step explanation:

I'll help you just let me figure this out real quick, do you still want the answer?

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How to factor 25x^2+79x+64

Anna007 [38]

Answer:

Step-by-step explanation:

This expression is unfactorable with rational numbers. I apologize.

Though, I am joyous to assist you anytime.

3 0

3 years ago

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

Find the L.C.M. of a3-1, a4+a2+1 and a2+a+1.

Karolina [17]

Answer:

a+b+ab+b+a...........

6 0

2 years ago

What is 100 times less than one million

Serggg [28]

When converted to a household measurement, 9 kilograms is approximately equal to a

3 0

2 years ago

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x

Nonamiya [84]

Answer:

x = -8/b

Step-by-step explanation:

2bx – bx = -8

Combine like terms

bx = -8

Divide by b

bx/b = -8/b

x = -8/b

5 0

3 years ago