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Tamiku [17]
2 years ago
6

Amy is solving the equation using the steps shown.

Mathematics
1 answer:
Delicious77 [7]2 years ago
7 0

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

\mathbf{(x^2 - 16)(x + 2) = 0}

The possible next steps are:

1. Expand the equation as follows

\mathbf{x^3+2x^2-16x-32 = 0}

2. Express x^2 -16 as a difference of two squares as follows

\mathbf{(x + 4)(x- 4)(x + 2) = 0}

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give \mathbf{(x + 4)(x- 4)(x + 2) = 0}

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is \mathbf{(x + 4)(x- 4)(x + 2) = 0}

Read more about equations at:

brainly.com/question/7674413

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Randy chooses to survey every 5th student in the cafeteria. He surveys a total of 140 students and finds that 84 support buying
umka21 [38]

Answer: He can predict that 420 students will be in support of the purchase.

Step-by-step explanation:

Since Randy surveyed one student out of every 5 he came across in the cafeteria, it means that if he came across five people, he will survey one, if he came across ten students, he will survey 2 and so on.

If then he surveyed a total of 140 students, then we can actually multiply the number by 5 to know the exact number of students he possibly came across in the cafeteria:

= 140 × 5

= Total of 700 students

If 84 out of the surveyed students supported the purchase, we can find what that figure represents in the total number of students in the cafeteria:

84/140 = x/700

We cross multiply

140 × X = 84 × 700

140X = 58,800

X = 58,800/140

X = 420 students

Therefore, he can predict that 420 students out of a total of 700 students in the cafeteria will be in support of the purchase of the P.E equipment

7 0
2 years ago
What is the value of 4(-1+2-3+4-5+6-7+......+1000)???
ANTONII [103]

Answer:

<h2>            4(-1+2-3+4-5+6-7+......+1000) = 2000</h2>

Step-by-step explanation:

-1+2 = 1

-3+4 = 1

-5+6 = 1

and so on till -999+1000 = 1

1 ....  1000    - these are 1000 numbers, so

1000:2 = 500   pairs with sum equal 1

4(500•1) = 4•500 = 2000

4 0
3 years ago
x−2y+3z=8, 3y+z=12, −2x+2z=−4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms.
Galina-37 [17]

Answer:

you dey mad go give your teacher make them solve am

4 0
3 years ago
Voltage = 330 v Current = 4 amps Resistance =
kkurt [141]
Eithet 330x4 or 330 divide 4 so it is either= 1320 or 82.5 hope this helps
8 0
3 years ago
What is the answer to7a + 36
mylen [45]

Answer:

It will stay the same

Step-by-step explanation:

You can't add unlike terms

7 0
3 years ago
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