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Vika [28.1K]
3 years ago
10

Which order pairs in the form (x,y) are solutions to the equation 6x-y/2=14 (-9,3),(2,-4)

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

(2,-4)

Step-by-step explanation:

Just plug in the numbers

6(2)- (-4)/2=14

12- -2=14

14=14

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A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after th
Bogdan [553]
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120

Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10

Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)

0 = 3t - 2
2 = 3t
2/3 = t

Plug 2/3 into original equation, this is a maximum. We want the minimum:

0 = t - 5
5 = t

Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
6 0
3 years ago
you have a large tank filled with 175 gallons of water the tank springs a leak and water is pouring out at a rate of 5 gallons p
Len [333]
175/5= 35

The answer is 35 minutes.

Hope this helps!
3 0
3 years ago
Solve this and show your work please
Artemon [7]
Q+12-2q+44=0
-q=-44-12
q=56
3 0
3 years ago
Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among
Olegator [25]

Answer:

a) X[bar]₁=  1839.20 cal

b) X[bar]₂= 1779.07 cal

c) S₁= 386.35 cal

Step-by-step explanation:

Hello!

You have two independent samples,

Sample 1: n₁= 15 children that did not eat fast food.

Sample 2: n₂= 15 children that ate fast food.

The study variables are:

X₁: Calorie consumption of a kid that does not eat fast food in one day.

X₂: Calorie consumprion of a kid that eats fast food in one day.

a)

The point estimate of the population mean is the sample mean

X[bar]₁= (∑X₁/n₁) = (27588/15)= 1839.20 cal

b)

X[bar]₂= (∑X₂/n₂)= (26686/15)= 1779.07 cal

c)

To calculate the sample standard deiation, you have to calculate the sample variance first:

S₁²= \frac{1}{n_1-1}[∑X₁² - (( ∑X₁)²/n₁)]= \frac{1}{14} + [52829538 - (\frac{27588^{2} }{15}) = 149263.4571 cal²

S₁= 386.35 cal

I hope it helps!

7 0
3 years ago
Change the following quantity into the indicated unit.
mafiozo [28]

Answer:

11.8 in.

Step-by-step explanation:

8 0
4 years ago
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