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jekas [21]
2 years ago
8

15 points I need help plz ASAP

Mathematics
1 answer:
Yuri [45]2 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

<u>Linear:</u>

1. During the spring, the grass in Gianna's yard grew \frac{1}{2} inch per week.

Equation: y=\frac{1}{2}x, where x is the number of spring weeks, y inches is the height of the grass after x weeks.

2. Rita babysits. She worked 2 hours and earned $24. She worked 3 hours and earned $36.

Equation: y=12x, where x is the number of hours, y is the amount Rita earned in x hours.

<u>Exponential:</u>

1. The population of the town was 25,000 in 1980. Then the population increased by \frac{1}{2}\% per year.

Equation: y=25,000\cdot (1+0.005)^x, where x is the number of years, y is the population after x years passed since 1980.

2. A car was worth $18,500 when it was new. Then the value decreased 18% per year.

Equation: y=18,500\cdot (1-0.18)^x, where x is the number of years, y is the car price after x years passed.

<u>Neither linear nor exponential:</u>

Albert went on a hike. After 1 hour, he had hiked 4 miles; after 2 hours he had hiked 7 miles; after 3 hours he had hiked 11 miles.

The differences 7 - 4 = 3, 11 - 7 = 4 are different, so the function is not linear. Also it is not exponential, becayse each next number of miles is not multiplied the previous number of miles by some number.

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Step-by-step explanation:

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2 years ago
In this triangle, the product of sin B and tan C is<br> and the product of sin Cand tan B is
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Answer:

\frac{c}{a} and \frac{b}{a}

Step-by-step explanation:

sinB = \frac{opposite}{hypotenuse} = \frac{AC}{BC} = \frac{b}{a}

tanC = \frac{opposite}{adjacent} = \frac{AB}{AC} = \frac{c}{b}

Thus

sinB tanC = \frac{b}{a} × \frac{c}{b} ( cancel b on numerator/ denominator )

                 = \frac{c}{a}

---------------------------------------------------------------------------

sinC = \frac{opposite}{hypotenuse} = \frac{AB}{BC} = \frac{c}{a}

tanB = \frac{opposite}{adjacent} = \frac{AC}{AB} = \frac{b}{c}

Thus

sinC tanB = \frac{c}{a} × \frac{b}{c} ( cancel c on numerator/ denominator )

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7 0
2 years ago
Function 1: y = 4x + 5
vlabodo [156]
Y=mx+b
m=slope

given
y=4x+5
m=4=slope

2.
for the points (x1,y1) and (x2,y2), the slope of the line passing trhough those points is (y2-y1)/(x2-x1)
given
(1,6) and (3,10)
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function 2 slope is 2
4>2

the first one has greater rate of change
6 0
3 years ago
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The answer is 75 I believe :)
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3 years ago
Find the slope of the line that passed though the two points <br> (0,5) and (-9, -4)
OverLord2011 [107]

To find the slope, use the slope(m) formula:

m=\frac{y_2-y_1}{x_2-x_1}        and plug in the two points

(0, 5) = (x₁, y₁)

(-9, -4) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-4-5}{-9-0}

m=\frac{-9}{-9}    [two negatives cancel each other out and become positive]

m = 1      The slope is 1

6 0
3 years ago
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