1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lions [1.4K]
1 year ago
6

The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent

s the number of years since 1998. choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x2 − 18x 108) 8(x2 − 18x) 108 8(x − 9)2 − 216 8(x − 9)2 216
Mathematics
1 answer:
Rzqust [24]1 year ago
8 0

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

You might be interested in
Five plus one multiplied by ten eaquals 5 1x10=
faust18 [17]
By order of operation
5+1x10
5+10
15

By normal solving
5+1x10
6x10
60
3 0
3 years ago
A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this pr
Troyanec [42]

Step-by-step explanation:

L = length

W = width

L = W + 9

A = 112 = LW = (W+9)W

So,

W2 + 9W = 112

W2 + 9W - 112 = 0

Factoring

(W-7)(W+16) = 0

W = 7, -16

We discard W = -16, since a measurement cannot be negative.

W = 7

And since L = W + 9, then L = 7 + 9 = 16

This is a 16x7 rectangle

4 0
2 years ago
What is the median of the data
anyanavicka [17]

Answer:

The median of the data is 3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is true about every rotation?
defon
I believe the answer is A.
4 0
3 years ago
Read 2 more answers
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is
Colt1911 [192]

Answer:

  • 2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

Step-by-step explanation:

  • <em>Easy way to take one of the vertices and apply the transformations</em>

1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.

  • False

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

  • True
  • (-3, 3) →  (3, 3) → (3 - 10, 3 - 9) = (-7, -6)

3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.

  • False

4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.

  • False
4 0
2 years ago
Other questions:
  • What is the approximate area of the shaded sector in the circle shown below?
    8·2 answers
  • Fill out the following table.
    11·1 answer
  • Set up the equation for the area of a triangle in
    7·1 answer
  • What is the real answer !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • The cost of a pen at the office supply store is $2.65. The school store sells the pen for $3.45. How much does the school store
    9·1 answer
  • Select each expression that is equivalent to 18x + 3
    12·2 answers
  • Use order of operations to solve the equation
    11·1 answer
  • Permutations and, combinations: problem type 2.
    6·1 answer
  • 2x^16-32x^4 what is the completely factored form
    6·1 answer
  • 7,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!