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kodGreya [7K]
3 years ago
8

Simplify 4x(2x3-7x2+x)

Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0
To simplify this all you need to do is distribute the 4x across each term in the parenthesis
4x(2x^3 - 7x^2 + x) \\ (4x)(2x^3) - (4x)(7x^2) + (4x)(x) \\ 8x^4 - 28x^3 + 4x^2
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Danielle’s chemistry professor has a complicated grading system. Each lab counts once and each test counts as two labs. At the e
Murrr4er [49]

Answer:

92

Step-by-step explanation:

Lab Scores are 84, 81, and 93

Test Scores are 89 and 94

Each lab counts once and each test counts as two labs. At the end of the semester there is a final lab that counts as three regular labs.

Total Number of Labs= (3X1)+(2X2)+(1X3) =3+4+3 =10

To recieve an A(90), the average of her scores must be 90.

Let her final lab score =b

Refer to the attached diagram

Total Score=624+3b

For her average =90

\frac{624+3b}{10}=90

Cross multiplying

624+3b =90 X 10

624+3b =900

3b =900-624

3b =276

Dividing both sides by 3

b= 92

She must score 92 in her final lab to receive an A.

6 0
3 years ago
A circle has a radius of 7x 9 y 5 cm. The area of a circle can be found using A = πr 2 . What is the area of this circle in squa
Natalka [10]

Answer:

hi

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7 0
3 years ago
I just can't figure these questions out... and yes I have taken notes, I just can't figure these answers out. !
Fiesta28 [93]

Answer:

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Step-by-step explanation:

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7 0
4 years ago
Dana bikes 10 mi in 50 min.
Karolina [17]
To get the answer you need to find out how many miles she bikes in 10minutes.
Divide 50minutes by 10 you get 5. Now you divide 10(miles) by 5 and you get 2. So it means that in 10minutes she bikes 2miles. Now you need to know how many miles she bikes in 90minutes so if she bikes 2 in 10 then because 90:10=9 you do 2*9=18. She can bike 18miles in 90minutes. :))
4 0
3 years ago
Read 2 more answers
The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
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