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Elis [28]
3 years ago
13

3m-2n+4p=15 m-n+p=3 m+4n-5p=0

Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
What you need help in
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Determine the corresponding general form of each of the following vertex form
SSSSS [86.1K]

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

y =  \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x  + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24

A

8) y = (x + 3/2)² + 3/4

y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

4 0
2 years ago
a full container of juice holds 64 ounces. How many 7 ounce servings of juice are in a full container?
Anon25 [30]
If the container holds 64 ounces, you can solve this by dividing 64 by 7.
The answer is 9.14285...
You might want to round based off of what your teacher or the problem tells you to do.
6 0
3 years ago
Read 2 more answers
Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the enti
Morgarella [4.7K]
It will take 90 minutes.
Why?
Rene has to go 60 miles.
He takes 1 hour to go 40 miles.
60 miles is 'one and a half' times 40.
So, he needs an hour and a half to go 60 miles.
6 0
3 years ago
Read 2 more answers
A stadium has 53,000. Seats sell for ​$ 42 in Section​ A, ​$ 36 in Section​ B, and ​$ 30 in Section C. The number of seats in Se
il63 [147K]
A =  B + C = <span>53,000 / 2 = 26,500

section A: </span>26,500 (seats) x 42 = $1,113,000
$1,996,800 - $1,113,000 = $883,800

So now 
B + C  = 26,500 so B = 26,500 - C
36B + 30C = $883,800

substitute B = 26,500 - C into 36B + 30C = $883,800

36B + 30C = $883,800
36(26,500 - C)  + 30C = $883,800
954,000 - 36C + 30C = $883,800
              -6C = -70,200
                 C =11,700

B = 26,500 - C
B = 26,500 - 11,700
B = 14,800

Answer
A: 26,500 seats
B: 14,800 seats
C: 11,700 seats



3 0
3 years ago
Write an equation os the line that passes through the givin points (-2,7) (3,-3)
ryzh [129]
(-2,7)(3,-3)
slope(m) = (-3-7) / (3 - (-2) = -10/(3 + 2) = -10/5 = -2

y = mx + b
slope(m) = -2
use either of ur points (-2,7)...x = -2 and y = 7
now sub and find b, the y int
7 = -2(-2) + b
7 = 4 + b
7 - 4 = b
3 = b

so ur equation is : y = -2x + 3 or 2x + y = 3
3 0
3 years ago
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