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Zolol [24]
3 years ago
9

Find the parabola through

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

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A rectangle with 8x5 dimensions
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What is the value of n - 5, when n = 8?<br> A) 3 <br> B) 4 <br> C) 12 <br> D) 13
evablogger [386]
You plug 8 into where n is so it's 8-5
8-5= 3 so the answer is A
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F Tanisha has ​$ 1,000 to invest at 5 % per annum compounded ​, how long will it be before she has ​$1,400 ​? If the compounding
vladimir2022 [97]

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

<h3>How long would it take $1000 to become $1,400?</h3>

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

  • FV = future value
  • PV = present value
  • r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

To learn more about how to determine the number of years, please check: : brainly.com/question/21841217

#SPJ1

5 0
2 years ago
Write an equation of a line in point-slope and slope intercept form that passes through the point (1, -8) and is perpendicular t
prisoha [69]

Answer:

11y-2x= -90

Step-by-step explanation:

for the point (1,-8)

x=1 and y= -8

for the equation,

2x -4y= -11

x= -1/m

m= -1/x

x = -1/ (-11/2 )

m= 2/11

so for the equation,

y-y1= m(x- x1)

y- -8=2/11(x-1)

11(y+8)= 2(x-1)

11y +88= 2x-2

11y-2x= -90

3 0
3 years ago
TIME REMAINING
erik [133]

Answer:

$1,131.20 is the amount earned

Step-by-step explanation:

<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>

1) To understand this problem, you need to know the simple interest formula.

A = P(1+rt)

A is the amount

P is the principal

R is the interest rate as a decimal

T is the time in years

2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14

3) Next we use the formula:

A = 1,010(1+ 0.14(8))

  1. We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
  2. Multiply and you will get A = $2,141.20
  3. To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20

This means $1,131.20 is your answer.

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
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