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Musya8 [376]
2 years ago
8

Select the correct answer which graph is defined by f(x)= |x^2 -x-2|

Mathematics
1 answer:
Gnesinka [82]2 years ago
5 0

The graph of the absolute value function can be seen below.

<h3>How to get the graph of f(x)?</h3>

Here we have the absolute value function:

f(x) = |x^2 - x -2|

Notice that the argument of the absolute value function is a quadratic equation, then the graph of the function f(x) will be the graph of the quadratic equation, but such that the part below the horizontal axis is reflected.

Then the graph of the function is the one you can see below:

If you want to learn more about absolute value functions:

brainly.com/question/3381225

#SPJ1

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dusya [7]

Answer:

a=9, c=19

Step-by-step explanation:

Aight so basically in 30, 60, 90 triangles there is a formula for the sides

the hypotenuse(the longest side)=2a

The tiny side (the smallest side)=a

and the middle child =a\sqrt{3}

Based on that we see that a is 9

and since c=2a then it's 18

4 0
3 years ago
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Can you help me with this please..
jonny [76]

Answer:

0.5

Step-by-step explanation:

Ok, so it's asking for what (1/(x-1) - 2/(x^2-1)) approaches as x approaches 1. Before we deal with the limit, let's simplify the inside.

We want to combine the two fractions into one fraction. Therefore, we need a common denominator.

1/(x-1) is equal to (x+1)/((x+1)(x-1) is equal to (x+1)/(x^2-1).

the inside expression is therefore (x+1)/(x^2-1) - 2/(x^2-1)

which simplifies to (x-1)/(x^2-1).

and that simplifies further to 1/(x+1).

Now this is a continuous function when x = 1, so to find the limit as x approaches 1 of this function, we can by definition just plug 1 in.

limx->1 (1/(x+1)) = 1/2.

The reason why we didn't just plug 1 in at the beginning is because the function wasn't continuous when x was 1.

8 0
3 years ago
Help with this 10th grade geometry problem?
Leokris [45]

Answer:

3.5m

Step-by-step explanation:

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25.77 = [(4.7)² × x] ÷ 3

25.77 × 3 = 22.09x

77.31 = 22.09x

x = 77.31 ÷ 22.09

= 3.49

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2 years ago
Laurie filled a container 2/3 full with water. She put 42 2/3 ounces of water in it. What is the capacity of Laurie's container?
Mademuasel [1]

Answer:

64 ounces

Step-by-step explanation:

2/3=42 2/3

1/3=21 1/3

21 1/3*3=64

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3 years ago
Emily and Miranda are standing outside. Emily is 5 feet tall and casts a shadow of 28 inches. Miranda's shadow is 29.4 inches lo
trasher [3.6K]
The answer is B. 5 1/4 feet.
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4 years ago
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