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kkurt [141]
1 year ago
12

The least value of the function x^2 + px + q is 3 and this occurs when x = - 2. find the values of p and q

Mathematics
1 answer:
Rasek [7]1 year ago
3 0

Answer:

Hello,

p=4

q=7

Step-by-step explanation:

The vertex of the parabola is (-2,3)

Equation of the parabola is  k(x+2)²+3=x²+px+q

Let's identify the coefficients:

kx²+4kx+4k+3=x²+px+q

so

k=1

4*1=p

4*1+3=q

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This year Jack will be 2 years from being twice as old as your sister Jen. The sum of Jack's age and three times Jen's age is 66
FinnZ [79.3K]
The age of jenn is 13.6 years old.
3 0
3 years ago
Each cheerleading uniform includes a shirt and a skirt. Shirts cost $17 each and skirts cost $19 each. The expression 17u + 19u
ValentinkaMS [17]

Answer:

36u

Step-by-step explanation:

17u+19u=36u

With like terms, just add normally

5 0
2 years ago
I need help with number 33!!!
sveta [45]

Area of Big Rectangle                                     Area of Small Rectangle

A = L x w                                                           A = L x w

 = (25 + 2w)(10 + 2w)                                           = 25 x 10

 =   250 + 50w + 20w + 4w²                               = 250

       Big - Small  

74 = 250 + 70w + 4w² - 250

74 = 4w² + 70w

0 = 4w² + 70w - 74

   = 2(2w² + 35w - 37)

  = 2[2w² -2w  |  +37w - 37]

  = 2[2w(w - 1) |  +1(w - 1)]

  = 2(2w + 1)(w - 1)

0 = 2                                   0 = 2w + 1                                     0 = w - 1

FALSE so disregard          w = -1/2                                         w = 1

                                         NEGATIVE so disregard

Answer: 1 meter

5 0
3 years ago
Need help only on odds please
mars1129 [50]

Answer:

Step-by-step explanation:

1) (i) HG ≅ ST ;      GI ≅ TR ;           IH ≅ RS

ΔHGI ≅ ΔSTR     by  S S S congruent

(ii) ∠H ≅ ∠S      ;  HG ≅ ST       ; ∠G ≅ ∠T

ΔHGI ≅ ΔSTR     by A S A -> Angle Side Angle congruent.

3) LM ≅ XY ;          MK ≅ YZ  ;      KL ≅ ZX

ΔLMK ≅ ΔXYZ Side Side Side congruent

∠K ≅ ∠Z  ;    KL ≅ ZX  ;    ∠L ≅ ∠X

ΔLMK ≅ ΔXYZ     by Angle Side Angle congruent

8 0
2 years ago
The sum of the ages of Nicole and Rachel is 30. Currently Nicole is four years older than Rachel. How old is Rachel?
Lunna [17]
Rachel is 13. since Nicole is 17.
13+17=30
3 0
3 years ago
Read 2 more answers
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