Answer:
1: x ^11
2: y ^12
3: x^ 7
Step-by-step explanation:
In 1 we give the sum
In 2 we give the multiple
In 3 we minus
2x is the highest common factor of the expression
The inequality that represents the range of k so that inequality 1 has real solution is -3 < k < 5
<h3>How to determine the range?</h3>
<u>Inequality 1</u>
x^2 + (k + 1)x + k + 4 > 0
The discriminant is calculated using
D = b^2 - 4ac
So, we have:
D = (k + 1)^2 - 4 * 1 * (k + 4)
Evaluate
D = k^2 + 2k + 1 - 4k - 16
This gives
D = k^2- 2k - 15
Factorize the equation
D = (k+ 3)(k -5)
Solve for k
k = -3 and k = 5
Express the k values as inequalities
-3 < k < 5
<u>Inequality 2</u>
The inequality cannot be read, because of the image quality
Read more about discriminant at:
brainly.com/question/7784687
#SPJ1
Answer:
The volume for the sphere is 904.78
