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DedPeter [7]
3 years ago
9

If you could please kindly help :D

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Answer:

y = -1/2 ( x − 4 )^2 + 8

Step-by-step explanation:

First find the vertex form

y = a ( x − h )^ 2 + k  where ( h,k) is the vertex

The vertex is  ( 4,8)

y = a ( x − 4 )^2 + 8

Now we need to determine a

Pick a point on the graph (0,0)

and substitute this point into the equation

0 = a ( 0 − 4 )^2 + 8

0 = a (16) +8

-8 = 16a

-8/16 =a

-1/2

y = -1/2 ( x − 4 )^2 + 8

You might be interested in
Which of the following is equivalent to (-2/3) with a exponent of 3
Zinaida [17]

Answer:

( -8,27) I believe

Step-by-step explanation:

Because you times 2x2x2=8 and 3x3x3=27. Getting( -8,27)

Hope this helps :)

4 0
2 years ago
Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1
Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0
2 years ago
Read 2 more answers
4 times a number is decreased by 9, the result is the same as when 15 is added to twice the number. find the number
igor_vitrenko [27]

Answer:

12

Step-by-step explanation:

4*x-9=2x+15

4x-9=2x+15

-2x    -2x

2x-9=15

2x=24

x=12

5 0
2 years ago
When rolling two six faced dice, what is the probability the sum equal to seven?
Liono4ka [1.6K]
What you want is P(6∩1) or P(1∩6) or P(2∩5) or P(5∩2) or P(3∩4) or P(4∩3).
The events of rolling the dice are independent (i.e. they don't affect one another) so:
E.g.
P(6∩1) = P(6) * P(1)
P(2∩5) = P(2) *  P(5)
The probability of getting a given number on a roll is 1/6 for both dice.
So:
P(6∩1) = 1/6 * 1/6 = 1/36
This is the same for any arrangement of numbers you could get from rolling two dice.
So, we can see that there are 6 arrangements of numbers that will give a sum of 7 and so that is 6 * 1/36 = 6/36 = 1/6
5 0
3 years ago
A bookstore had 45 copies of a magazine. Yesterday, it sold 13 of them. Today, it sold 23 of what remained. How many copies does
Elan Coil [88]

Answer:

9

Step-by-step explanation:

Total initially in bookstore = 45

Sold 13copies, remaining copies = 45-13= 32

Sold 23 copies again, remaining copies = 32-23 = 9

Copies left = 9

6 0
2 years ago
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