Answer:
A.
Step-by-step explanation:
Not sure how to show work; it's intuitive.
Think about it like this.
When x gets infinitely large, we want to know if the y-value gets larger or smaller.
Given this function, we know that f(x) approaches negative infinity when x gets larger because -(∞)³ would just be a really big negative number. (I'm plugging ∞ in for x because it just represents the idea that x is getting infinitely large.)
Similarly, we know that f(x) approaches positive infinity when x gets infinitely negative because -(-∞)³ would be a really big positive number; the negatives cancel out. (Again, I'm plugging ∞ in for x because it represents the idea that x is getting infinitely negative.)
Another way you could think about it is to visualize a negative cubic function. One end goes up and the other goes down. You know from algebra that when cubic functions are negative, they get bigger on the left and smaller on the right; this gives you the same answer.
The width of his patio is 19.5 feet based on the information about the area given.
<h3>How to calculate the width?</h3>
Area = Length × Width
175.5 = 19.5 × w
Width = 175.5/19.5
Width = 9 feet
The width of his patio is 19.5 feet.
The number of blocks that were used will be:
= 175.5/(1.5 × 1.5)
= 175.5/2.25
= 78 blocks
Learn more about area on:
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<u>Complete question</u>
Gavin made the patio area out of square block that are 1.5 by 1.5 feet. The area of the patio is 175.5 ft² and the length is 19.5ft.
a. Determine the width of his patio.
b. Determine the number of blocks Gavin used to make his patio.
Answer:
Step-by-step explanation:
-2x+3x=-21+6
or x=-15
Answer:
1) Angles 1 and 4, 2 and 3, 5 and 8, 6 and 7.
2) angles 3 and 6, 4 and 5.
3) angles 1 and 5, 2 and 6, 3 and 7, 4 and 8.
Step-by-step explanation:
Answer:
x = 3
y = 6
Step-by-step explanation:
Apply the angle bisector theorem to find both variables.
Based on the theorem, we would have the following:
✔️x/2 = 6/4
Cross multiply
x*4 = 6*2
4x = 12
4x/4 = 12/4
x = 3
✔️9/y = 3/(8 - y)
Cross multiply
9(8 - y) = 3*y
72 - 9y = 3y
72 = 3y + 9y
72 = 12y
72/12 = 12y/12
6 = y
y = 6
