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uranmaximum [27]
3 years ago
6

Multiply the rational expression

Mathematics
2 answers:
Andre45 [30]3 years ago
7 0

Always try to factor in your first step if you can.

In the numerator of the first fraction, notice that we have

a greatest common factor of 4 so we have 4(3f - 4).

Now in the denominator of the second fraction, we have the difference

of two squares which can be factored as the product of two binomials.

So we have (3f + 4)(3f - 4) in the denominator.

So we now have 4(3f - 4)/16 · 5/(3f + 4)(3f - 4).

Now, cross-cancel.

Notice that the 3f - 4's cancel out completely.

Multiplying across the top and bottom, we get 20/16(3f + 4).

The 20 and 16 can reduce to 5 and 4.

So we have 5/4(3f + 4).

aleksandrvk [35]3 years ago
3 0
Simplify your work by factoring before multiplying.  We get:

4(3f-4)          5
---------- * -----------------
    16        (3f-4)(3f+4)

Cancel the (3f-4) terms, obtaining:

             20
------------------
       16 (3f+4)
                                    5
Reducing, we get -------------      and this is the desired result.
                               4(3f+4)
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Graph the solution set 2(x-y)>6-y
Greeley [361]

Answer:

The area right side to the line

Step-by-step explanation:

2 (X-Y) > 6-Y

2X - 2Y > 6 - Y

2X -6 > Y

Y < 2X - 6

8 0
3 years ago
many credit card companies charge a compound interest of 1.8% per month on a credit card balance. Miriam owes 750 on a credit ca
nadya68 [22]

Answer:

Most credit card companies also apply a late payment penalty if you owe a balance and do not make a payment. Ignoring that fee, Miriam's balance will increase as:  

B(n) = 750(1.018)^n  

where B(n) is Miriam's balance after n months. The progression will be:  

$750.00  

$763.50  

$777.24  

$791.23  

$805.48

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
I dont understand how to do this please help me i want to get a good grade​
horsena [70]

Answer:

y =20

Step-by-step explanation:

you have to get the y by itself so what you do on one side you do to the other. subtract 12 on both sides and you get y=20

7 0
3 years ago
Read 2 more answers
Using the functions presented in the example, how much can Cam expect to earn if he sells all the corn produced on 1.5 acres?
12345 [234]

Answer:

Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

Step-by-step explanation:

Given : C(a)=7500a-1500, M(C)=0.9C- 50  and  M(C(a))=6750a-1400

To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

Solution :  

C(a)=7500a-1500

Substitute a=1.5,

C(1.5)=7500(1.5)-1500

C(1.5)=11250-1500

C(1.5)=9750

Now, taking function M(C)=0.9C- 50

Substitute C=9750,

M(9750)=0.9(9750)- 50

M(9750)=8775- 50

M(9750)=8725

Now, taking function M(C(a))=6750a-1400

Substitute a=1.5,

M(C(1.5))=6750(1.5)-1400

M(C(1.5))=10125-1400

M(C(1.5))=8725

Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

8 0
3 years ago
HELP ME RN PLEASEEEE<br> [WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]
VMariaS [17]

Answer:

\boxed {\boxed {\sf d= \sqrt{34}}}

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

  • x₁= -2
  • y₁= -1
  • x₂= 3
  • y₂= 2

Substitute the values into the formula.

d= \sqrt {(-2-3)^2+(2--1)^2

Solve the parentheses.

  • -2 -3 = -5
  • 2--1 = 2+ 1 = 3

d= \sqrt{(-5)^2+(3)^2

Solve the exponents.

  • (-5)²= -5*-5= 25
  • (3)²= 3*3=9

d= \sqrt{25+9}

Add.

d= \sqrt{34}

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.

6 0
3 years ago
Read 2 more answers
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