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myrzilka [38]
3 years ago
9

Find the factors and zeros of 6x^2 +8x-28=2x^2 + 4

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

First solve the equation:

6x^2 + 8x -28 = 2x^2 + 4

=> 6x^2 - 2x^2 + 8x - 28 -4 = 0 => 4x^2 + 8x - 32 = 0

Extract common factor 4:

=> 4[x^2 + 2x - 8] = 0

Now factor the polynomial:

4(x + 4) (x - 2) = 0

=> the solutions are x + 4 = 0 => x = -4, and x - 2 = 0 => x = 2.

So the answer is the option B: 4(x + 4)(x - 2); {-4, 2}

HOPE THIS HELPS! :D

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Viefleur [7K]

Answer:

8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32  \\  \boxed{x = 4}

<h3>4 is the right answer.</h3>

(7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\  \boxed{x = 8}

<h3>8 is the right answer.</h3>
3 0
3 years ago
Read 2 more answers
Quante’ had 15.3 feet of fishing line. He cut off a piece and had 3.2 inches left. How long was the piece he cut off?
Licemer1 [7]

Answer:

180.4 inches (15.033 feet)

Step-by-step explanation:

To solve this, we convert 15.3 feet to inches. We do this by multiplying 15.3 by 12. This gets us 183.6. Now, we subtract 3.2 from 183.6. This gets us 180.4. That means the piece cut off of 180.4 inches long. To convert this to feet, we divide by 12. That gets us 15.033. That means the piece cut off is 180.4 inches long, or 15.033 feet long.

6 0
3 years ago
Ms Acosta received a job as a teacher with a starting salary of $34,000 according to her contract she will receive a 1.5% increa
Damm [24]

Answer: In 7 years, Ms Acosta will earn $37,734.7

Step-by-step explanation:

From the information given, we find the increase using exponential growth formula

A= P(1+r)^t

Where p= the starting amount on the contract, given as $34000

r = rate, given at 1.5% = 1.5/100 = 0.015

t = time, given as 7years

Plug the values into the formula:

A = 34000(1 + 0.015) ^7

= 34000 (1.015)^7

34000 x 1.1098

A= $37,734.7

In 7 years, Ms Acosta will earn $37,734.7.

4 0
3 years ago
∠1 is decomposed into two nonoverlapping angles, ∠2 and ∠3.
AVprozaik [17]
Angle 3 is and acute angle (60°)
5 0
3 years ago
Suppose the first five terms of a sequence are 4, 5, 9, 27, 123. How could the next term in the sequence be generated?
Ipatiy [6.2K]
The <u>correct answer</u> is:

B) by finding the factorial of the term number, then adding 3 to the result.

Explanation:

If we add 3 before finding the factorial, for the first term we would have:

(1+3)! = 4! = 4*3*2*1 = 24.  

This is not the first term, so this is not accurate.

Finding the factorial of the term number and then adding 3, we would have:
1!+3 = 1+3 = 4
2!+3 = 2*1+3 = 2+3 = 5
3!+3 = 3*2*1+3 = 6+3 = 9
4!+3 = 4*3*2*1+3 = 24+3 = 27
5!+3 = 5*4*3*2*1+3 = 120+3 = 123

This is the correct answer.
4 0
3 years ago
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