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alexira [117]
2 years ago
13

Which function is equivalent to g(x) = 9 x2 - 24 x + 16?

Mathematics
1 answer:
GenaCL600 [577]2 years ago
3 0

Answer:

Step-by-step explanation:

discriminant = (-24)²  - 4(9)(16) = 0, so there are two identical roots.

That eliminates choices 2 and 4.

Quadratic formula

x = [24 ± √(24² – 4·9·16)] / [2·9]

 = 24 / 18

 = 4/3

9x² - 24x + 16 = 9(x-4/3)² = (3x-4)²

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The cost of putting in automatic sprinklers for a lawn largely depends upon the length of Poole that must be laid. The controlle
OLga [1]

Answer:

c(F) = 135 + 2.5F

Step-by-step explanation:

We are given the following in the question:

Controller cost = $135

System cost = $2.50 per foot of pipeline

The total cost depends upon the length of Pole.

Let the system requires F feet of pipeline.

Total cost will be given by the equation:

c(F) = \text{Controller cost + System cost(Feet of pipeline required)}\\c(F) = 135 + 2.5F

is the required expression for total cost

F: feet of pipeline required

c(F): Total cost of installation

5 0
3 years ago
Fluffy the bunny ate 1/3 of a carrot in the morning and she ate some more at night by the end of the day she still had 1/5 of th
Nataly_w [17]

Answer:

2/15

Step-by-step explanation:

first you have to make both numbers have an equal denominator the subtract how much that was left from how much she Initially ate

5 0
3 years ago
Design your own statistical question that you can ask at least twenty different people. Keep in mind that the question should re
Gelneren [198K]

A statistical question you can ask at least 20 different people can be: "How many pets do you have?"

An hypothetical data for the number of pets 20 sixth graders have has been given and the box plot that displays the data set is in the image below.

<h3>What is a Statistical Question?</h3>

A statistical question can be defined as a question that can be answered by collecting a variety of numerical answers that vary. Examples of statistical questions include:

  • What are the age of students in my class?
  • What are the heights of students in a class?

A statistical question you can ask at least 20 different people can be: "How many pets do you have?"

Below is the hypothetical questions that can be assumed you'd get from two people:

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5

Description of the people you asked can be: 20 sixth graders in your school.

How you gathered your data can be: Asking them to fill a questionnaire or by interview.

The numerical data from least to the greatest, hypothetically would be:

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5

The five-number summary for the hypothetical data would be:

Minimum: 0 (least data point)

Quartile Q1: 1 (middle of the first half of the data distribution)

Median: 1.5 (center of the data)

Quartile Q3: 2.75 (middle of the second half of the data distribution)

Maximum: 5 (greatest data value).

Using the five-number summary generated, the box plot that displays the data set is shown in the image attached below.

Learn more about statistical question on:

brainly.com/question/12150562

#SPJ1

7 0
1 year ago
Write a number that is greater than 8.604 but less than 8.643
Aliun [14]
8.605
This number is bigger than 6.604 and it is smaller than 8.643
:)
6 0
3 years ago
Read 2 more answers
If a cone has a volume of 338 cm^3 and a radius of 6 cm, how tall is it?
Anna35 [415]

The formula for the volume of a cone is V = πr²h ÷3

You are solving for the height, h.

V = 338 cm³ and r = 6 cm

338 = π(6)²h÷3

338 = π36h÷3

338 = π12h

28.16 = πh

8.965 = h

The height of the cone is around 9 cm.

6 0
3 years ago
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