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myrzilka [38]
3 years ago
12

The area of a square rug can be represented by the expression of 100x²+60x+9.

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

Step-by-step explanation:

a=lw

a=100x^2+60x+9

(10x)^2+60x+3^2

(10x+3)^2=a

a=(10x+3)(10x+3)

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Solve for b -2b + 11 - 5b = 5 - 6b
Colt1911 [192]

Answer:

B = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0
3 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
WILL MARK BRILLIANT!!! I need help ASAP
Rashid [163]

Answer:

Step-by-step explanation:

Charging by the quarter mile is for purpose of making that particular taxi service seem cheaper than the others when they post a per mile charge.  If this taxi company is charging .50 per 1/4 mile, they are charging $2 per mile.  So we will base our equation on the per mile charge, not the per quarter-mile charge.  If x is the number of mile driven (our uknown), and we have a flat fee of $2.50 regardless of how many miles we are driven, the cost function in terms of miles is

C(x) = 2x + 2.50

If we are driven 5 miles, then

C(5) = 2(5) + 2.50 so

C(5) = 10 + 2.50 and

C(5) = $12.50

It would cost $12.50 to be driven 5 miles

5 0
3 years ago
Sam is 5 years older than Mike. In 6 years, Mike will be 7 more than half of Sam's age. How old is Sam now?
9966 [12]
The Correct answer is B.18
5 0
3 years ago
Help it’s for a quiz
Vilka [71]

Answer:

i cant answer that

Step-by-step explanation: I cant answer because if it was for a quiz i bet the quiz is over now so there is no point in answering.

6 0
2 years ago
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