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
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Answer:
10 units
Step-by-step explanation:
7-7=0
3-(-7)=10
The answer is 3704, because, well it depends on his u work it out
Answer:
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Step-by-step explanation:
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The amount of metal needed to make the metal stud for the costume is 12 unit²
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the meatal stud does not have a base, hence:
Amount of metal needed = sum of area of triangular faces = 4(1/2 * 2 * 3) = 12 unit²
The amount of metal needed to make the metal stud for the costume is 12 unit²
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