20

Mathematics

2 answers:

Helga [31]4 years ago

8 0

Answer:

23 weeks

Step-by-step explanation:

226-180 to find out he needs to gain 46 pounds. then, we know he gains 2 pounds a week so, divide 46 by 2 to get 23.

erastova [34]4 years ago

4 0

Answer:

the answer is 23 take care now

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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 $y = 3$ .