3 years ago

Find a possible phase shift for the sinusoidal graph shown.

Mathematics

1 answer:

Degger [83]3 years ago

6 0

The phase shift is 7.2 right

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Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati

miskamm [114]

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as $ax^2+bx+c=0$ .

So,

$2x^2+3x=-1\\\\2x^2+3x+1=0$

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Putting all the values we get :

$x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1$

So, the roots of the given equation is -1/2 and -1.

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3 years ago

Ira wants to buy a skateboard. She paid $120 including the sales tax of 7%.

satela [25.4K]

the original cost was $111.60.

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3 years ago

60 points!!! Please answer immediately and the entire page please I will also give you five stars

Nataly_w [17]

Answer:

Step-by-step explanation:

9. Correct, D

-3Y + 9X <= 12

3Y - 9X => -12

3Y => -12 + 9X

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10. D

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2 years ago

In the problem 10 take away 4 equals 6 what is the correct term for the number 4

crimeas [40]

10 would be called the Minuend.
4 would be called the Subtrahend.
4 would be the Difference.

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Blizzard [7]

Answer: B

Step-by-step explanation:

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2 years ago