Answer:
Hello,
<u>k=-3 and h=-2</u>
Step-by-step explanation:
![5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\](https://tex.z-dn.net/?f=5%5C%20is%5C%20a%20%5C%20root%20%5Cof%20%5C%20x%5E2%2B%28k-1%29%2Ax-5%3D0%5C%5C%5C%5C5%5E2%2B%28k-1%29%2A5-5%3D0%5C%5C%5C%5C5%2A%28k-1%29%2B20%3D0%5C%5C%5C%5Ck-1%3D%5Cdfrac%7B-20%7D%7B5%7D%20%5C%5C%5C%5Ck%3D-4%2B1%5C%5C%5C%5C%5Cboxed%7Bk%3D-3%7D%5C%5C)
h+1 is thus a root of x²+(-3-1)*x-5=0
x²-4x-5=0
x²+x-5x-5=0
x(x+1)-5(x+1)=0
(x+1)(x-5)=0
h+1=-1
<u>h=-2</u>
Answer:
12 cm²
Step-by-step explanation:
The base face of the trriangular prism is a triangle with base (of the triangle) 8 cm and height (of the triangle) 3 cm.
area of triangle = base × height / 2
area = (8 cm)(3 cm)/2
area = 12 cm²
Answer:
Step-by-step explanationTrue
Answer:
- x + y ≤ 600
- 5x +7y ≥ 3500
- it is possible
Step-by-step explanation:
a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.
x + y ≤ 600 . . . . . . . limit imposed by available seating
5x +7y ≥ 3500 . . . . required revenue to meet expenses
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b) For x = 330, the first inequality puts one limit on y:
330 +y ≤ 600
y ≤ 270
And the second inequality puts another limit on y:
5(330) +7y ≥ 3500
7y ≥ 1850 . . . . subtract 1650
y ≥ 264.3 . . . . divide by 7
The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.
Answer:
5, 5, 10, 15
Step-by-step explanation:
He spent 1/4 of 20 which is 5 on food, 1/2 of 20 which is 10 on music, so if you add those you get 15. 20-15 is equal to 5.