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finlep [7]
3 years ago
7

Write y=-3(x-7)^2-8 in vertex form

Mathematics
2 answers:
Veronika [31]3 years ago
7 0

It's in the verex form:

f(x)+a(x-h)^2+k\\\\(h,\ k)-vertex

y=-3(x-7)^2-8\\\\(7,\ -8)-vertex

GalinKa [24]3 years ago
4 0
<h2>Answer:</h2>
  • The given equation is already in vertex form.
  • The vertex is located  at (7,-8)
<h2>Step-by-step explanation:</h2>

We Know that a standard form of a quadratic equation is given by:

                  y=ax^2+bx+c

where a,b and c are real numbers

and the vertex form is given by:

                 y=a(x-h)^2+k------------------(1)

where the vertex of the function is at: (h,k)

Here we have the function as:

          y=-3(x-7)^2-8

We observe that the equation matches the equation as in equation (1) ; such that a= - 3, h=7 and k= -8

Hence, the equation is already in vertex form and the vertex is at (7,-8)

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Joyce's mother buys some shares of Company A on Day 0.
antoniya [11.8K]

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

3 0
3 years ago
Suppose you sequentially add 10 drops of water to a graduated cylinder and read the volume add 10 more drops read and so on. how
aleksandr82 [10.1K]
It depends on what is being referred to by "this."

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If the activity referred to by "this" is the pair of acts {add 10 drops, read the volume}, then four repetitions will have added 10*4 = 40 drops.

Probably the expected interpretation is that "this" is {add 10 drops, read}, so 40 drops is likely the expected answer.
3 0
3 years ago
The graph of a linear function is shown<br> below. What is the domain of the<br> function?
Viktor [21]

Answer:

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Step-by-step explanation:

We note that the graph occupies from x=-3 to x=+1, while -3 is a value included (endpoint is solid), and +1 is excluded (endpoint hollow).

Thus the domain is { x | -3 <= x < +1 }

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Step-by-step explanation:

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6 0
4 years ago
1+1 show explanation
Snezhnost [94]

Answer:

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