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3 years ago

Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).

1 answer:

3 0

Hello,

Equation is y=k(x-1)²-9
and when x=0,y=-6==>-6=k*1²-9==>k=3

y=3(x-1)²-9
when y=0, 3(x-1)²-9=0
==>(x-1-√3)(x-1+√3)=0
x-intercepts are (1+√3,0) and (1-√3,0)

Answer B.

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Match each point with one of the following rational number:

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A = -0.7
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C = -0.4
D = -5/16 (0.3125)

The last option is correct

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How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de

lesantik [10]

Answer:

amount is 1000 × $e^{0.08t}$

$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

Step-by-step explanation:

principal = $1000

rate = 8 % = 0.08

to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × $e^{rt}$ ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × $e^{rt}$

amount = 1000 × $e^{0.08t}$

in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal

rt = 0.08 × 40 = 3.2

amount = principal × $e^{rt}$

1000000 = principal × $e^{3.2}$

principal = 1000000 / $e^{3.2}$

principal = 1000000 / 24.5325302

principal = 40762.20397

so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × $e^{rt}$

1000000 = 2500 × $e^{40r}$

take ln both side

ln $e^{40r}$ = ln (1000000 / 2500 )

40 r = ln 400

r = ln (400) / 40

r = 0.149787

so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

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3 years ago

If Tom brushes his teeth 1/12 hour a day. how many minutes does Tom brush his teeth in 2 weeks? What units of time do you need t

lilavasa [31]

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3 years ago

Estimate and classify the critical points for the graph of the function<br> Please show work

ikadub [295]

The critical points of the function graphed are given as follows:

x = -1.5: Local maximum.

x = -1: Local minimum.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In a graph, they are turning points, and are classified as follows:

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Local minimum, if the functions changes from decreasing to increasing.

Looking at the graph, the turning points are approximately:

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More can be learned about critical points at brainly.com/question/2256078

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2 years ago