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stellarik [79]
3 years ago
8

A Solve for x. Write both solutions, separated by comma. 4x2 + 5x – 6= 0

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer: x1 = -2, x2 = 3/4

Step-by-step explanation:

4x^2 + 5x -6 = 0

4x^2 + 8x -3x -6 = 0

4x(x+2)-3(x+2)=0

(x+2)(4x-3) = 0

x+2 = 0: x = -2

4x-3 = 0: x = 3/4

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(co<br> Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.
tatyana61 [14]

Answer:

<em>y=2 cos (π/4x-π/4)</em>

Step-by-step explanation:

<em>Given</em>

<em>A cosine function has an amplitude of 2, a midline of 5 and a period of 8.</em>

<em>To find: </em>

<em>A cosine function.</em>

<em>Explanation:</em>

<em>Let the function be,</em>

<em></em>y=Acos(ws+p)

<em>Since amplitude is 2.</em>

<em>Then,</em>

<em></em>A=2

<em>Also, since the period is 8.</em>

<em>Then,</em>

<em></em>w=\frac{2\pi }{8}

w=\frac{\pi }{4}

<em>And, since midline is 5.</em>

<em>Hence, the cosine function is,</em>

<em>y=2 cos (</em>\frac{\pi }{4}<em>x-</em>\frac{\pi }{4}

<em></em>

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2 years ago
When x is divided by 3 the quotient is more than 7
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