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Dafna11 [192]
3 years ago
15

How would you write y = –3x2 + 12x – 21 in vertex form?

Mathematics
1 answer:
ladessa [460]3 years ago
5 0
The vertex form of that expression would be y = 3 ( x +2 )squared - 25. This is done by transporting first the -21 to the other side then simplifying the 3(x2 + 4x). Then making the "x2 + 4x" a perfect binomial we need to add 4 and that makes it "x2 + 4x + 4". Then after that we now have the vertex form of <span>y = 3 ( x +2 )squared - 25</span> 
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A tree in leilas backyard has been growing for 3 1/5 years. It is 3/4 meters tall how many meters per year?
IgorC [24]

Answer:

The tree grew 15/64 meters per year.                  

Step-by-step explanation:

Given

  • Length of a tree = 3/4 meters
  • Total time taken by the tree to grow 3/4 taller = 3 1/5 or 16/5 years

To determine

Per year growth of the tree in meters

Per year growth of the tree in meters can be determined by dividing the total length of a tree i.e. 3/4 meters by the total time taken by the tree to get 3/4 taller.

Per year growth of tree = Total Length  / Total time to grow

                                       = 3/4 ÷ 16/5

                                        = 3/4 × 5/16

                                        = [3×5] / [4×16]

                                        = 15/64 meters

Therefore, the tree grew 15/64 meters per year.                  

4 0
3 years ago
Which expressions are equivalent to 4(-5z+2)+(-6)
Y_Kistochka [10]

Answer:

4(-5z+2)+(-6)=2(-10z+1) = True

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? A. 2y - 12 B. 2(y -12) C. 2(y +
bazaltina [42]

Answer:

B

Step-by-step explanation:

Two times the quantity of a number minus 12.

Represent the number with the variable y.

The quantity of a number minus 12 is then: (y-12).

Two times this quantity is 2(y-12).

So the answer is 2(y-12), which is B.

5 0
3 years ago
Question 3
BigorU [14]

Answer:

  30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

  12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

  12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

  x^2 -31x +30 = 0

  (x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

3 0
3 years ago
Read 2 more answers
HELP ASAP!!
vesna_86 [32]

Answer:

13.73 in^2 because the circle's area is 50.27 in^2

5 0
3 years ago
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