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hjlf
3 years ago
6

Please help me with this question please

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

○ sin 15° = sin 30°⁄2 = ±√[1 - cos 30°\2]

Step-by-step explanation:

According to the Sine Half-Angle Identity, this is the formula:

sin x = sin ˣ⁄2 = ±√[1 - cos x\2]

Notice the <em>-</em><em>cos</em><em> </em><em>x</em><em>\</em><em>2</em><em> </em>inside the radical. The second option nearly resembles this option. It has a positive symbol inside. Do not let this confuse you. The Cosine Half-Angle Identity is the formula that has a positive in the radical:

cos x = cos ˣ⁄2 = ±√[1 + cos 30°\2]

I am joyous to assist you anytime.

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3. Consider the functions f(x) = x2 + 10x – 5, g(x) = 8x + 1, and h(x) = 3x – 4. List the functions from least to greatest value
weeeeeb [17]
<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34

g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25

h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5

<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91

g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49

h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14

I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
4 0
3 years ago
Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|.
Sergio039 [100]

Answer: Ix+10I

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So,

g(x) = |x|

g(x+10) = |x+10| ... every x has been replaced with x+10

h(x) = g(x+10)

h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.

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