To make sure we don't have negatives under the square root, we specify that
(x is greater than or equal to 0). We'll use this fact later on
--------------------------------------------
Start with the given inequality
and square both sides to get
. Couple this with the fact that
means we have this compound inequality
What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values
49, 48 and 44Answers: Choice C, Choice D, Choice E
The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of children and y represent the number of adult, hence:
5.2x + 9.9y = 1303.5 (1)
Also:
x + y = 163 (2)
From both equations:
x = 66, y = 97
The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.
Find out more on equation at: brainly.com/question/2972832
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(ax + b)/c ≤ b
ax+b ≤ cb
ax ≤ cb - b
x ≤ (cb-b)/a
Answer: Angle A = 53.9 degrees
Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;
CosA = adjacent/hypotenuse
CosA = 10/17
CosA = 0.5882
By use of the calculator or table of values,
A = 53.97
Approximately to the nearest tenth,
A = 53.9 degrees
Answer:
64z^2
Step-by-step explanation:
Here's why, it's actually very simple we use exponent rule when raising something to a power. In this case we're raising the term to the second power. So we raise both -8, and z. As so: (-8)^2 x (z)^2
Which equals 64z^2.
