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krek1111 [17]
3 years ago
14

Use the table to graph each absolute value inequality y<-|2x|+4

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

Answer: y<−2x∣+4 for Y,X

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The table below represents a linear function f(x) and the equation represents a function g(x):
Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

m = 8

The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

g(x) = 3x -2

m = 3

m_{f(x)} > m_{g(x)}

Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

From the equation of g(x)

g(x) = 3x -2

g(0) = 3*0-2

g(0) =-2

<em></em>f(0) > g(0)<em></em>

6 0
3 years ago
Two lighthouses flash their lights every 20 and 30 seconds respectively. given that they flash together at 8 p.m., at what time
VikaD [51]
Do you remember when you were learning about
Least Common Multiple (LCM) ?  And you were
wondering what on Earth you would ever need it for ?

THIS IS IT !

The amount of time after 8 PM when the lights will flash
together again is the LCM of 20 seconds and 30 seconds.
Do you remember how to find it ?

... When 20 is prime-factored, you have  2 · 2 · 5 .

... When 30 is prime-factored, you have  2 · 3 · 5 .

... So the Least Common Multiple of 20 and 30 is  2 · 2 · 3 · 5  =  60 .

The lighthouses will flash together again in 60 seconds after 8 PM.
That'll be  8:01 PM.  
6 0
3 years ago
I NEED HELP ILL GIVE BRAINLIST TO FIRST CORRECT ANSWER
Nostrana [21]

Answer:

Without them, there would have been no United States of America.

The Founding Fathers, a group of predominantly wealthy plantation owners and businessmen, united 13 disparate colonies.

They fought for independence from Britain and penned a series of influential governing documents that steer the country to this day.

All the Founding Fathers, including the first four U.S. presidents, at one point considered themselves British subjects.

But they revolted against the restrictive rule of King George III outlining their grievances in the Declaration of Independence, a powerful call for freedom and equality.

They won a stunning military victory over what was then the world’s preeminent superpower.

4 0
3 years ago
If a company buys an item at a wholesale price of $45, which of the following would make sense as a retail price to charge the c
boyakko [2]

Answer:

Step-by-step explanation:

buys it for $ 45

well...you know the business is gonna want to make a profit...so they would have to sell it for more then they bought it for.

I would say $ 60 or $ 80

4 0
3 years ago
Use the formula for compound interest to find A.
Crank
Easy peasy
A=20,000(1+0.13)^2
A=20,000(1.13)^2
A=20,000(1.2769)
A=25538

A is $25,538
4 0
3 years ago
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