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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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Answer:

It will cost $256542 to prepare the field for next weeks match.

Step-by-step explanation:

The maximum dimensions of a field according to FIFA rules is 110 m by 75 m.

So, the maximum area of a field is (110 × 75) = 8250 square meters.

Now, 1 square meters is equivalent to 1.196 square yards.

So, the maximum area of a field is (8350 × 1.196) = 9867 square yards.

Now, given that it costs to make ready each square yard of a full-size FIFA field, $26 before each game.

Therefore, it will cost $(26 × 9867) = $256542 to prepare the field for next week's match. (Answer)

4 0
3 years ago
Find the slope of the line
pishuonlain [190]

Answer:

The line has a slope of Zero.

Step-by-step explanation:

6 0
3 years ago
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(PLEASE HELP) The histogram shows the number of hours that 25 college students spent studying for their final exams. Which state
Semmy [17]

The statement on the bottom left is correct. (6 students studied for 20 to 24 hours)

6 0
3 years ago
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Please help me please !
Morgarella [4.7K]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option C

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

\text{\underline{The Slope Formula Is:}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1)\text{ and } (x_2,y_2)\text{ are two points given.}\\\\\text{We are given the points: } (3,5) \text{ and } (9,2).\\\\\text{\underline{The formula for the points should be:}}\\\\m=\frac{5-2}{3-9}, \text{where } (9,2) \text{ is }(x_1,y_1)\text{ and } (3,5) \text{ is } (x_2,y_2).

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
Dmitriy789 [7]

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

8 0
3 years ago
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