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elena-14-01-66 [18.8K]
3 years ago
8

Factor completely 4x3 + 28x2 + 7x + 49.

Mathematics
2 answers:
umka21 [38]3 years ago
7 0
Try grouping in paires

4x^3 + 28x^2 + 7x + 49

= 4x^2(x + 7) + 7(x + 7)  - note  that (x + 7) is common to the 2 parts, so

=  (4x^2 + 7)(x + 7)
Rasek [7]3 years ago
6 0
(x+7) (4x²+7) is the correct answer 

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The system of equations has no solution:<br> y=2/3x-5<br> 4x - 6y = 30<br> true or false?
Serjik [45]

1. y = 2/3x - 5

2. 4x - 6y = 30

Divide 2. by 2

3. 2x - 3y = 15

Substitute 1. into 3.

4. 2x - 3(2/3x - 5) = 15

5. 2x - 2x + 15 = 15

6. 15 = 15

False. There are an infinite number of solutions.

3 0
2 years ago
One side of a rectangle is 3 times the length of another side. The difference in their lengths is 10 feet
elena55 [62]

Answer:

5 feet & 15 feet

Step-by-step explanation:

<em>The question is to find the lengths of 2 sides of the rectangle</em>.

<u>Solution:</u>

Let shorter side be "x"

Let longer side be "y"

From the question, we can write:

y = 3x

also

y - x = 10

Now, putting the first on second equation, we get:

y - x = 10

3x - x = 10

2x = 10

x = 10/2 = 5

Now, y = 3x, y = 3(5) = 15

So we can say the lengths of 2 sides of the rectangle is 5 feet & 15 feet

4 0
3 years ago
6.) -2x + y = -1<br><br> X Y<br> -4<br> -3<br> -2<br> 1<br> 0
MrRa [10]

Answer:

Step-by-step explanation:

i ASSUME THE QUESTION IS TO DETERMINE Y?  

Rearrange the equation  to y = 2x - 1 and solve for each value of x

<u>X</u>  <u>Y</u>

-4  -9

-3  -7

-2  -5

1   1

0  -1

7 0
2 years ago
For each rectangle below, write a linear equation that represents the area y of the rectangle. Solve this system of two linear e
Hatshy [7]

(5,24)

  • The two areas are the same.

  • To find the area, we multiply the side lengths. Y=area

Rectangle 1: side lengths 4 and (x+1)

y=4(x+1)= 4x+4

Rectangle 2: side lengths 3 and (2x-2)

y=3(2x-2)= 6x-6

  • Since the two areas are same, we can conclude that

4x+4=6x-6

  • Now, simplify.

-2x=-10, x=5

  • Since x is 5, we can plug it into the equations to find y.

Option 1 with rectangle 1: y=4(5)+4, y=24

Option 2 with rectangle 2: y=6(5)-5, y=24

I graphed the linear equation on desmos.

5 0
2 years ago
I need help with the equation.
drek231 [11]

Answer:

h;ikl

Step-by-step explanation:

7 0
2 years ago
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