Answer:
(1/5, 9/5)
Step-by-step explanation:
Given the set of inequities
x+y>2..... 1
4x-y≥-1 .... 2
We are to get the solution point (x,y)
Solving simultaneously
From 1:
x>2-y
Substitute into 2
4(2-y)-y≥-1
4(2)-4y-y≥-1
8-5y≥-1
-5u ≥-1-8
-5y ≥-9
y≤9/5
Since x>2-y
x>2 - 9/5
x>1/5
Hence the required point is (x,y) = (1/5, 9/5)
a) After 4 years the profit will change from negative to positive.
b)after 4 years the profit will be lowest.
Because the equation is a quadratic equation so, it will be increasing.
c) after 4 years the profit will be 5.
<u>Step-by-step explanation:</u>
a) After 1 year = 2(1) -6(1) -3
= 2-9
= -7
It's negative
After 2 years = 2(4) -6(2) -3
= 8-12-3
= -7
It's negative
After 3 years = 2(9) -6(3) -3
= 18 - 18 -3
= -3
It's negative
After 4 years = 2(16) -6(4) -3
= 32 -24-3
= 5
It's positive
After 4 years the profit will change from negative to positive
b) after 4 years the profit will be lowest.
Because the equation is a quadratic equation so, it will be increasing.
c) profit = 2(16) - 6(4) -3
= 32 -24 - 3
= 5
after 4 years the profit will be 5
Answer:
9. B, C, D
10. A, D, E
Step-by-step explanation:
9. A. Students who bring lunch do not represent cafeteria purchases.
B. - D. Are randomized.
10. A. 1/4 of 50 is 12.5. about equal to 12
B. 12% of 50 is 6. not equal to 12
C. 12 ÷ 50 = 24. 3,000 × 0.24 = 720. not less than 500
D. (see above work) 720 = 720
E. 3,000 - 720 = 2,280. more than 2,000
So what is happening is you need to find out the unknown length. Because the side EH is similar to side AD ( its similar because the shape has been rotated) you can put them over one another. Now you need to have another equal side to complete the problem so you use the other set of sides. To make this problem easier we should make the side EH into a variable. to make it AD over X. now the problem is BC over FG is = to AD over X. The next step is to simplify into numbers because it is hard to just work with letters. So now the problem is 12 over 30 = 16 over X. The next step is to cross multiply so the problem is 12X = 30 x 16. Now we can simplify this equation to 12X= 480. the next thing you want to do is to divide 240/12 because you need to get X by its self. Resulting in (Remember X stands for EH) EH = 40in.
Por un sistema de ecuaciones, tiene-se que:
- Cada lapiz cuesta 20 ptas.
- Cada boligrafo cuesta 50 ptas.
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- Considera-se un sistema de ecuaciones, con cada boligrafo custando x y cada lapiz custando y.
- <u>Boligrafo cuesta 30 mas que un lapiz</u>, o sea,
- <u>8 boligrafos y 15 lapices cuesta 700</u>, o sea,
-------------------------
- Aplicando el <u>primer ecuación en la segunda, </u>tiene-se el cuesto de cada lapiz:
Cada lapiz cuesta 20 ptas.
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Por fin, el cuesto de cada boligrafo es dado por:
Cada boligrafo cuesta 50 ptas.
Un problema similar es dado en brainly.com/question/24637096
