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3 years ago

Using intercepts and the maximum, find an equation for the graph shown.

Mathematics

2 answers:

madreJ [45]3 years ago

3 0

Answer:

It's D

Step-by-step explanation:

The x intercepts ( the zeroes) are -1 and 3 so we can write it as

f(x) = a(x + 1)(x - 3) where a is some constant.

The y intercept is at (0, 9) so substituting:-

9 = a *(0 + 1) * (0 -3)

9 = -3a

a = -3 so we have:-

f(x) = -3(x + 1)(x - 3)

= -3(x^2 - 2x - 3)

= -3x^2 + 6x + 9. (answer)

Viktor [21]3 years ago

3 0

Answer:

f(x) = -3x2 + 6x + 9

x-intercepts: x = -1 and x = 3

y-intercept: y = 9

maximum value: y = 12

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Chistopher is 20 years younger than ishaan. Ishaan and chistopher first met two years ago. Fourteen years ago, ishaan was 3 time

lisabon 2012 [21]

Answer:

Ishaan is 49 years old.

Step-by-step explanation:

Let the present age of Christopher be 'C'.

Let the present age of Ishaan be 'I'.

From the given data, we can form equations which will help us solve the problem.

Christopher is 20 years younger than Ishaan. This means:

C = I - 20 . . . (1)

Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.

From the data, I - 14 = 3(C - 14) . . . (2)

Substituting the value of C in Equation 2, we get:

I - 14 = 3(I - 20 - 14)

⇒ I - 14 = 3(I - 34)

⇒ I - 14 = 3I - 112

⇒ 2I = 112 + 14 = 98

⇒ I = 49

So, Ishaan is 49 years old.

4 0

3 years ago

The ratio of the number of beads Karen had to the number of beads Patricia had was 2:5 .After Patricia bought another 75 beads,t

blondinia [14]

K:P=2:5
P+75 it is 4:15
at first, P=5 units
so we have
2:5 and 4:15
since the K units didn't change we conver them to the same
2:5 times 2:2=4:10
so from 4:10 to 4:15 is a change of 75 in the right side
therefor 75=5 units so 75/5=15/1= 1 unit
so at first K=4 units=4 times 1 unit=4 times 15=60
P=10 units so 10 times 15=150

at first
Karen=60
Patricia=150

7 0

3 years ago

In one town, the number of burglaries in a week has a poisson distribution with a mean of 1.9. find the probability that in a ra

tester [92]

Let X be the number of burglaries in a week. X follows Poisson distribution with mean of 1.9

We have to find the probability that in a randomly selected week the number of burglaries is at least three.

P(X ≥ 3 ) = P(X =3) + P(X=4) + P(X=5) + ........

= 1 - P(X < 3)

= 1 - [ P(X=2) + P(X=1) + P(X=0)]

The Poisson probability at X=k is given by

P(X=k) = $\frac{e^{-mean} mean^{x}}{x!}$