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juin [17]
4 years ago
10

Amira is solving the equation x^2-8x=7. Which value must be added to both sides of the equation to make the left side a perfect-

squared trinomial?
Mathematics
1 answer:
ivolga24 [154]4 years ago
8 0

Answer:

  16

Step-by-step explanation:

The constant in a perfect square trinomial is the square of half the coefficient of the linear term.

  (x +a)² = x² +2ax +a²

For 2a=-8, a=-4 and a² = 16. The constant 16 must be added:

  x² -8x +16 = 7+16 . . the left side is a perfect square trinomial

  (x -4)² = 23 . . . . . . . the left side is a perfect square

You might be interested in
What is the slope of 2,4 -4,-3
kozerog [31]

Answer:

1.6

Step-by-step explanation:

4-(-4)=-8

2-(-3)=-5

-8 divided by -5 =

1.6

4 0
3 years ago
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6
victus00 [196]

Answer:

Average ROC = 0

Step-by-step explanation:

Average ROC : (f(b) - f(a)) / (b - a)  ... slope = (y'-y) / (x'-x)

a = -3   f(a) = 10   ... x=-3, y=10

b = 6    f(b) = 10   ... x'=6, y'=10

Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0

4 0
3 years ago
Miguel deposits $5000 in an account
jeyben [28]

Then the amount of money will he have in his account after 10 years will be $7,454.16. Then the correct option is B.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Miguel deposits $5000 in an account earning 4% interest compounded monthly.

Then the amount of money will he have in his account after 10 years will be

We know the compound interest formula.

A = P (1 + r)^t

Where

A = amount

P = principal

r = rate of interest

t = time period (in year)

Then we have

\rm A = 5000 (1 + 0.04)^{10}\\\\A = 5000 (1.04)^{10}\\\\A = \$ \ 7454.16

More about the compound interest link is given below.

brainly.com/question/25857212

#SPJ1

5 0
3 years ago
solve 4x+x+4=8x-3x+4. Does this equation have one solution, no solution or infinitely many solutions?
earnstyle [38]

One Solution: Simplify to get 5x+4=5x+4

7 0
4 years ago
How many grams must be adde to 970g to make 1 and a half kg
madam [21]

Answer:

530 grams

Step-by-step explanation:

970 grams = 0.970 kg

1 kg = 1000 grams

Thus: 500+30 = 530 grams

3 0
3 years ago
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