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3 years ago

Choose which function is represented by the graph

Mathematics

2 answers:

galben [10]3 years ago

6 0

Answer:

Step-by-step explanation:

The roots of the graph, where it crosses the x- axis are

x = - 1, x = 2 and x = 5

The corresponding factors are then

(x + 1), (x - 2) and (x - 5)

f(x) is the product of the factors, that is

f(x) = (x - 5)(x - 2)(x + 1) → C

Usimov [2.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

The points at which the graph crosses the x axis are called the zeros of the function. The zeros can be found by which number plugged in for x would result in at least one zero. In this case if you plug 5 into (x-5) you get zero, so the entire function is zero. Likewise for 2 in (x-2) and -1 in (x+1). If you look at the graph, 5, 2 and -1 are points at which the graph crosses the x axis and therefore are zeros.

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A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia

katrin [286]

The answer is 150 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:
$141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04$

Logarithm both sides of the equation:
$ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16
$A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000$

Thus, the population will be nearly 150 million in 2016

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Julio Montoya earns $16.80 per hour for a 40-hour work week. How much more per week would Montoya earn if he received a 10 perce

uranmaximum [27]

Answer:

He would make $67.20 more a week if he got the increase.

Step-by-step explanation:

10% of $16.80 is $1.68. Add $1.68 to $16.80. You get $18.48. Multiply that by 40 hours. You get $739.20. Next, subtract $672 from $739.20. Your answer to that is how much more he'll make if he gets the increase.

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What is the solution to the system of equations?

Airida [17]

Answer:

take a brain break

Step-by-step explanation:

take a drink from the fridge add some refreshing ice sqeeze the the living heck out ur ju and enjoy some sugur in it and enjoy

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2 years ago

Which parent function is represented by the graph?

ikadub [295]

The parent function represented by the graph is an exponential function, as it gets exponentially smaller.

8 0

3 years ago

Read 2 more answers

Please help me! How do you convert a rate into a unit rate? Give an example, so I can better under stand. Thank you

Pachacha [2.7K]

Divide the unit by the rate.

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