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3 years ago

11

Solve the equation for x. show each step of the solution. name the justifications for each step of the solutions.

1 answer:

UkoKoshka [18]3 years ago

7 0

Answer:

What grade is this?

Step-by-step explanation:

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The sum of four consecutive integers is -6. What are the four integers?

Darina [25.2K]

Answer:

-3 ,-2 ,-1, 0

Step-by-step explanation:

x is the smallest integer then, x+x+1+x+2+x+2=-6
4x+6= -6 4x=-12 x= -3 so the integers are..

3 0

1 year ago

What's the perimeter of a parallelogram with sides of 10 inches and 5 inches

cluponka [151]

perimeter

= 2 (l+b) inches

= 2(10+5) inches

= 2(15) inches

= 30 inches

5 0

3 years ago

URGENT!!!! Han earns $48 for babysitting 3 hours. How much money does Han make per hour? Explain

Lana71 [14]

Answer:

Step-by-step explanation:

If he earns $48 dollars in 3 hours, you need to divide 48 by 3 to work out how much he makes per hour. and 48/3 = 16. So he makes $16 dollars an hour.

8 0

2 years ago

Read 2 more answers

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

Last yearrhere were 1436 8th grade students enrolled at your school. This year there are 1220. What is the percent change in the

Tanzania [10]

$\frac{1220 \times 100}{1436} \approx 85\% \\ 100\% - 85\% = 15\% \: change$

8 0

3 years ago