Answer:a=130,b=50
Step-by-step explanation:
a+b= 180
2a-5b=10
2(180-b)-5b=10 (I have substituted (180-b) for a here.)
360-2b-5b=10
350=7b
b=50
a+50=180
a=130
Answer:
We are given the t distribution with 16 degrees of freedom.
We have to find the area a. to the right of 2.120
Answer: We can use excel to find the area to the right of 2.120. The excel function is:
=TDIST(2.120,16,1) = 0.025
Therefore, the area to the right of 2.120 is 0.025
b. to the left of 1.337.
Answer: We can use excel to find the area to the left of 1.337. The excel function is:
=1 - TDIST(1.337,16,1) = 0.900
Therefore, the area to the left of 1.337 is 0.900
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:
Option C. 15^2 + 20^2 = 25^2
Step-by-step explanation:from the question, we obtained the following:
The sides = 25, 15, 20
Since it is a right angle triangle, 25 is the longest side. Therefore their relationship is:
15^2 + 20^2 = 25^2
Plug in the first equation(x) into another instead of x. If x equals -2y-5. Then we get 4(-2y-5)-3y=2. -8y-20-3y=2. Group like terms on different sides. -11y=22. y=22/-11. y=-2.