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LUCKY_DIMON [66]

2 years ago

5

For each graphically defined function below, state the domain, the range, and the intervals on which the function is increasing,

decreasing, or constant.
Domain:
Range:
Increasing:
Decreasing:
Constant Intervals?

1 answer:

olga55 [171]2 years ago

7 0

Answer:

See below ~

Step-by-step explanation:

Domain : range of x -values

Minimum = -2
Maximum = 3
Domain = [-2, 3]

Range : possible y-values

Maximum point is 2
Minimum point is -2
Range = [-2, 2]

Increasing :

[-2, 0]

Decreasing :

x = [0, 3]

Constant :

None

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Please helppppppppppp me so the problem its jessica said that the sum of −8+d is always positive when the value of d is greater

Alex_Xolod [135]

<h3>Answer: Sometimes true</h3>

========================================================

Explanation:

-8+d is positive only when d > 8

Here's why

-8+d > 0

-8+d+8 > 0+8 .... add 8 to both sides

d > 8

So if Jessica said "d is greater than 8", then her claim would always be correct.

However, her claim is sometimes true.

Two counter examples could be when d = 1 and d = 2.

If d = 1, then -8+d = -8+1 = -7 which isn't positive.

If d = 2, then -8+d = -8+2 = -6 which also isn't positive.

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3 years ago

Simplify by combining like terms: 18a + 2.5a

dedylja [7]

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20.5a

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18a + 2.5a = 20.5a

I hope this helps!

8 0

3 years ago

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VladimirAG [237]

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6 0

3 years ago

On a piece of paper, use a protractor to construct right triangle ABC with AB=3 in. , m∠A=90° , and m∠B=45° .

n200080 [17]

Option A: $$A C=3 \ in$ is true about the triangle.

Explanation:

The measurements of the right triangle ABC is $A B=3 \ in$ , $m \angle A=90^{\circ}$ and $\mathrm{m} \angle{B}=45^{\circ}$

The image of the triangle having these measurements is attached below:

Option A: $$A C=3 \ in$

Using Pythagorean theorem, we have,

$tan \ 45^{\circ}= \frac{AC}{3}$

$1\times 3= AC$

$3=AC$

Thus, the length of AC is $$A C=3 \ in$

Therefore, Option A is true about the triangle.

Hence, Option A is the correct answer.

Option B: $$B C=3\ in$

Using Pythagorean theorem, we have,

$cos \ 45^{\circ}=\frac{3}{BC}$

$BC=\frac{3}{cos \ 45^{\circ}}$

$BC=\frac{3}{0.707}$

$BC=4.24$

Thus, the length of BC is $BC=4.24 \ in$

Therefore, Option B is not true about the triangle.

Hence, Option B is not the correct answer.

Option C: $$B C=6\ in$

Using Pythagorean theorem, we have,

$cos \ 45^{\circ}=\frac{3}{BC}$

$BC=\frac{3}{cos \ 45^{\circ}}$

$BC=\frac{3}{0.707}$

$BC=4.24$

Thus, the length of BC is $BC=4.24 \ in$

Therefore, Option C is not true about the triangle.

Hence, Option C is not the correct answer.

Option D: $$A C=6\ in$

Using Pythagorean theorem, we have,

$tan \ 45^{\circ}= \frac{AC}{3}$

$1\times 3= AC$

$3=AC$

Thus, the length of AC is $$A C=3 \ in$

Therefore, Option D is not true about the triangle.

Hence, Option D is not the correct answer.

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4 years ago