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3 years ago

Please help me, please please

Mathematics

1 answer:

Svetllana [295]3 years ago

7 0

Answer:

-6

Step-by-step explanation:

substitute for x and y in the given equation

x=0

y=-6

let the unknown number be 'b'

y = -4x + b

-6 = 4*0 + b

b = -6

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3 years ago

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3 years ago

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3 years ago

Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution

elena55 [62]

Answer:

$x=2.170$

Step-by-step explanation:

The given equation is $2^{x+1}=9$ .

We take logarithm of both sides to base 2 to get:

$\log_2(2^{x+1})=\log_29$

Apply the power rule of logarithms to get:

$x+1=\log_29$

We now apply the change of base formula:

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3 years ago

What is the midline equation of y = -4sin (2x - 7) + 3?

Georgia [21]

Answer:

$y = 3$ .

Step-by-step explanation:

The minimum and maximum value of $\sin(2\, x - 7)$ over all real $x$ are $(-1)$ and $1$ , respectively. Hence, the maximum and minimum value of $y = -4\, \sin(2\, x - 7) + 3$ would be:

Maximum: $y = (-4)\, (-1) + 3 = 7$ .
Minimum: $y = (-4)\, (1)\ + 3 = (-1)$ .

The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum $y$ -values of that sine wave. In the sine wave in this question, the average of the maximum and minimum $y\!$ -values is $(1/2) \, (7 + (-1)) = 3$ . Hence, the midline equation of this sine wave would be $y = 3$ .

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2 years ago

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