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Evgen [1.6K]
2 years ago
9

An image of a parabolic lens is projected onto a graph. The y-intercept of the graph is (0, 90), and the zeros are 5 and 9. Whic

h equation models the function? y = 90(x – 5)(x – 9) y = 2(x – 5)(x – 9) y = 90(x + 5)(x + 9) y = 2(x + 5)(x + 9)
Mathematics
2 answers:
seraphim [82]2 years ago
8 0
Given:

y-intercept of the graph: (0, 90)
zeros: 5 and 9

The equation that models the function based on the zeros given, is either

y = 90 (x-5) (x-9)
or
y= 2(x-5)(x-9)

try solving for the y-intercept of each function, 

y = 90 (0-5) (0-9)
  y = 4050
(0, 4050)

y = 2(0-5) (0-9)
y = 90
(0, 90)

therefore, the equation that models the function is y = 2(x-5)(x-9)

seraphim [82]2 years ago
7 0

Answer:

y = 2(x – 5)(x – 9)

(B)

Step-by-step explanation:

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Let the number = x.

48% of x = 108

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Answer is option C.

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⦁ The population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. Using the expo
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Answer:

The exponential growth model for the population of the Tallahassee metropolitan area is y=382627(1.0278)^t.

Step-by-step explanation:

The exponential formula is

y=b(1+r)^t

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

y=382627(1+0.0278)^t

y=382627(1.0278)^t

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

y=382627(1.0278)^8

y=382627(1.0278)^8

y=476479.828188\approx 476479

Therefore the projected population in 2025 is 476479.

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What fraction of an hour is 10 minutes?<br><br> Give your answer in its simplest form.
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1/6

Step-by-step explanation:

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We need to find the number of ways that 6 competitors can finish a race and there are no ties.

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6!=720

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so, the number of ways we can sit n people on r<n chairs is given by

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