Answer:
Step-by-step explanation:
So the answer would be
D + 3r = 15
d = r + 3
r + 3 + 3r = 15
4r + 3 = 15
4r = 15 - 3
4r = 12
r = 12/4
r = 3 ....he bought 3 roses, at $ 3 per rose = $ 9 <==
d = r + 3
d = 3 + 3
d = 6....he bought 6 daisies, at $ 1 per daisy = $ 6
Answer:
a. Compressed f toward the x-axis, and then translated it left 4 units.
Step-by-step explanation:
General equation for this is:
y = a√(x - h) + k
- a is how much it's being compress or stretched
- h is how much it's shifted in the x-direction
- k is how much it's being shifted in the y-direction
We're given:
g(x) = 1/2√(x + 4)
g(x) = 1/2√(x - (-4))
My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.
My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.
There is not k-value so nothing is shifted in the y-direction.
I am assuming you want to solve for x:-
Now cosec^2 2x = 1 - cot^2 2x so the equation becomes
3 cosec^2(2x) + 2 cosec 2x = cosec^2 2x
2 cosec^2 2x + 2 cosec 2x = 0
2 cosec 2x ( cosec 2x + 1) = 0
so 2 cosec 2x = 0 or cosec 2x = -1
cosec 2x = 0 or cosec 2x = -1
cosec 2x = 0 is indeterminate so we ignore the first one
cosec 2x = -1 can be written as 1 / sin 2x = -1
so sin 2x = -1
giving 2x = 270 degrees
Therefore x = 135 degrees answer
I think you mean 8x^2 + 7 =0
a = 8 b = 0 c = 7
x= [-b +- square root (b^2 - 4*a*c)] / 2a
x = [0 +- square root (0 - 4*8*7)] / 2*8
x = +- square root (-224) / 16
x = +-
<span>
<span>
<span>
14.9666295471 * i
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</span>
</span>
/ 16
x = +
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<span>
<span>
0.9354143467
</span>
</span>
</span>
i
x = -
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0.9354143467
</span>
</span>
i