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antoniya [11.8K]
3 years ago
14

For the function y=-3+ cos (x + 4)], what is the minimum value?

Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer:

-4 is the mimumum of y=-3+cos(x+4)

Step-by-step explanation:

The minimum value of y=cos(x) is -1.

The minimum value of y=cos(x+4) is still -1; the +4 inside the cosine function only affected the horizontal shift.

The minimum value of y=-3+cos(x+4) is -3-1 which is -4.  This brought the graph down 3 units so if the minimum was previously -1 and it got brought down 3 units then it's new minimum is -4.

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THERE IS MORE THAN ONE ANSWER THEIR IS UP TO 3 ANSWERS
kvv77 [185]

Answer:

-4.01, -4, -7

Step-by-step explanation:

equation:

-x + 6 ≥ 10

substitute each number for x

- (-3.9) + 6 ≥ 10 = (negatives cancel each other out) 3.9 + 6 = 9.9 ≥ 10 (incorrect)

-4 + 6 ≥ 10 = 2 ≥ 10 (incorrect)

- (-4.01) + 6 ≥ 10 = (negatives cancel each other out) 10.01 ≥ 10 (correct)

- (-4) + 6 ≥ 10 = (negatives cancel each other out) 10 ≥ 10 (correct)

-4.01 + 6 ≥ = 1.99 ≥ 10 (incorrect)

-3.9 + 6 ≥ 10 = 2.1 ≥ 10 (incorrect)

-0 + 6 ≥ 10 = 6 ≥ 10 (incorrect)

- (-7) + 6 ≥ 10 = (negatives cancel each other out) 11 ≥ 10 (correct)

6 0
3 years ago
The two lines represent the amount of water overtime in two tanks that are the same size. Which container is feeling more quickl
Margaret [11]

Answer:

Tank A is filling quicker

Step-by-step explanation:

You can tell this by looking at the slope of each line. Since the slope of line A is larger and going up faster, that tells you that tank A is filling faster than tank B

7 0
3 years ago
Is the distance between the points ( -4 , 1 ) and ( -12 , 1 ?
Temka [501]

the answer to this question is -8

8 0
3 years ago
What is the length of the missing leg?
sp2606 [1]

Answer:

a=12

Step-by-step explanation:

Pythagorean Theorem: a^{2}+b^{2}=c^{2}

In this case, a = 9, b = a, and c = 15.

9^{2}+a^{2}=15^{2}

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The, we subtract 81 from both sides getting:

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Then, a=12

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2 years ago
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saul85 [17]

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8 0
3 years ago
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