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3 years ago

How to do these problems

Mathematics

1 answer:

Blababa [14]3 years ago

4 0

What problems do you need help with I dosen't show???

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Rewrite the function by completing the square f(x)=x^2-14x+63

Veseljchak [2.6K]

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0
Vertex Form: f(x) = a(bx - c)² + d
Completing the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate: f(x) = (x² - 14x) + 63
Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49
Simplify: f(x) = (x - 7)² - 14

8 0

3 years ago

Read 2 more answers

A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?

Wittaler [7]

The DJs unit rate is 5 songs for every 1 commercial.

I found this by dividing both the commercials and the songs by their greatest common factor, or 2.

7 0

2 years ago

Read 2 more answers

The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a

posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.2

$P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532$

Thus,

$P_{20}=155.4532$

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

7 0

2 years ago

What is the sum of 4.9 × 102 and 6.8 × 103?

dusya [7]

Answer:

The sum is

$7.92\times 10^3$

Step-by-step explanation:

We want to add

$4.9\times 10^2 and 6.8\times 10^3$

The sum of these two numbers is:

$4.9\times 10^2 +6.8\times 10^3$

This is the same as:

$4.9\times 100 +6.8\times 1000$

$490 +6800=7290$

We rewrite 7290 in standard form to get;

$7.92\times 10^3$

6 0

3 years ago

Somebody help please with workout

svlad2 [7]

If you need help with a workout your going to need a trainer.

6 0

2 years ago