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3 years ago

1. The value(s) of x when sin(x) = -1 are x = -90° and 270°?

Mathematics

1 answer:

disa [49]3 years ago

3 0

Answer:

1. True

2. True

3. y = -1

4. False

Step-by-step explanation:

1 -------------------------

sin(-90) = -1

sin(270) = -1

True

2 --------------------------

y = cos(-90)

y = 0

True

3 -------------------------

y = tan(-45)

y = -1

-1

4 ---------------------------

tan(90) cannot be calculated

False

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Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0

2 years ago

What are all of the x-intercepts of the continuous function in the table? (0, 8) (–4, 0) (–4, 0), (4, 0) (–4, 0), (0, 8), (4, 0)

dusya [7]

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(remember to flip the inequality sign when multiplying or dividing by negative numbers in inequality problems)

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zloy xaker [14]

Answer:

Step-by-step explanation:

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