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Vinvika [58]
3 years ago
9

Complete the square.

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

+ 100

Step-by-step explanation:

Given

m² - 20m

To complete the square

add ( half the coefficient of the m- term )² to m² - 20m

m² + 2(- 10)m + (- 10)²

= m² - 20m + 100 = (m - 10)² ← perfect square

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If f(x) = –x + 2, find f(4).
NeTakaya

Answer:

-2

Step-by-step explanation:

If you substitute x for 4, you have -4+2 to get -2.

3 0
3 years ago
Evaluate the expression, 7x+8(x-3). Assume that x=4.
NNADVOKAT [17]

Answer:

if x was 4 then the answer would be 36.

Step-by-step explanation:

28+8(4−3)

=28+(8)(1)

=28+8

=36

8 0
3 years ago
A family member had some five-dollar bills and one-dollar bills in her wallet. Altogether she has 18 bills and s total of $62. W
Elden [556K]
X+y=18
5x+y=62

x is number of five dollar bills and y is one dollar bills. 
3 0
3 years ago
Determine the range of the function graphed above.
Sever21 [200]

Answer:

D. (-∞,4]

Step-by-step explanation:

The range is the y values

The lowest y values is negative infinity

The highest y values is 4

( - inf, 4]

We use the parentheses since we cannot get to negative infinity, the bracket since we reach 4

8 0
3 years ago
Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.
tigry1 [53]

Answer:

  • See below

Step-by-step explanation:

<u>Exponential function is:</u>

  • y = abˣ

<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>

  • 675647 = 617594*b¹⁰

<u>Find the value of b:</u>

  • b¹⁰ = 675647/617594
  • b¹⁰ = 1.09399864636
  • b = 1.09399864636^(1/10)
  • b = 1.009 (rounded)

<u>The equation we got is:</u>

  • y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

5 0
2 years ago
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