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katrin2010 [14]
3 years ago
8

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

Mathematics
1 answer:
Sergio [31]3 years ago
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:
castortr0y [4]
A = -0.7
B = -9/16 (0.5623)
C = -0.4
D = -5/16 (0.3125)

The last option is correct 
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It’s going to be A. She was supposed to use distributive property
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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

5 0
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]
1/12 hour = 5 minutes, 2 weeks is 14 days, so 5*15 = the amount of time he brushes his teeth so you would need to change from hours to minutes
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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.
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<h3>What are the critical points of a function?</h3>

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

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

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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

#SPJ1

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