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3 years ago

14

Given f(x)=|x|. Explain the difference between the graphs of g(x)=|x+5| and h(x)=|x|+5.

1 answer:

ale4655 [162]3 years ago

4 0

G(x) would have a translation of 5 to the left, while h(x) would have a translation of 5 up

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Find the distance round to the nearest tenth (-8, -6) (-3,-2)

lina2011 [118]

Answer:

$\displaystyle d \approx 6.4$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Coordinates (x, y)

<u>Algebra II</u>

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-8, -6)

Point (-3, -2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}$
[√Radical] (Parenthesis) Add: $\displaystyle d = \sqrt{(5)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25+16}$
[√Radical] Add: $\displaystyle d = \sqrt{41}$
[√Radical] Evaluate: $\displaystyle d = 6.40312$
Round: $\displaystyle d \approx 6.4$

7 0

2 years ago

Read 2 more answers

How many possible solutions can a systems of two linear equation in two unknowns have

AfilCa [17]

I believe the correct answer is 1 solution

8 0

3 years ago

Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet

omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

<em><u>Solution:</u></em>

The distance is given by formula:

$distance = speed \times time$

<em><u>Ton travels at 8 feet per second</u></em>

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

<em><u>Bob travels at 10 feet per second</u></em>

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

$8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67$

Thus time taken before they are 2640 feet is 146.67 seconds

<h3><u>Method 2:</u></h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

$time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }$

Thus time taken before they are 2640 feet is 146.67 seconds

4 0

3 years ago

2(3x + 4) + 6 + 7x<br> What is the answer

Colt1911 [192]

Answer:

13x+14

Step-by-step explanation:

2(3x+4)+6+7x

Distribute:

=(2)(3x)+(2)(4)+6+7x

=6x+8+6+7x

Combine Like Terms:

=6x+8+6+7x

=(6x+7x)+(8+6)

=13x+14

3 0

3 years ago

Read 2 more answers

After years of maintaining steady population of 32,000 the population of town begins to grow exponentially. After 1 year and an

GuDViN [60]

Answer: y = 32,000(1.08)^c

Step-by-step explanation:

Given that the initial population

P = 32000

t = 1 year

R = 8%

Y = 34,560

To predict y the number of people living in town after x years

t = x

Y = P(1 + 8%)^t

Y = 32000( 1.08)^x

5 0

3 years ago