Answer: the quotient of the given expression is, h5
Step-by-step explanation:
Use the exponent rule:
Given the expression:
⇒
Apply the exponent rules we have;
Simplify:
therefore, the quotient of the given expression is,
The coefficient of the squared expression is 1/9
<h3>How to determine the coefficient of the squared expression?</h3>
A parabola is represented as:
y = a(x - h)^2 + k
Where:
Vertex = (h,k)
From the question, we have:
(h,k) = (-2,-3)
(x,y) = (-5,-2)
So, the equation becomes
-2 = a(-5 + 2)^2 - 3
Add 3 to both sides
1 = a(-5 + 2)^2
Evaluate the sum
1 = a(-3)^2
This gives
1 = 9a
Divide both sides by 9
a = 1/9
Hence, the coefficient of the squared expression is 1/9
Read more about parabolas at:
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Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Let the safety counts be represented by x, while the field goal count is represented by y.
Part A: The inequality for this scenario in standard form.
2x + 3y > 30
Part B: The inequality in slope-intercept form.
2x + 3y > 30
3y > 30 - 2x
y > 10 - (2/3)x
y < (2/3)x - 10
PartC: The inequality is represented below.
Learn more about Inequality:
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