Answer: 120,000 meters²
Step-by-step explanation:
First find the area of all the land both paved and unpaved:
= Length * Width
= 260 * 500
= 130,000 meters²
The find the area paved:
= 50 * 200
= 10,000 meters²
The area left unpaved:
= Total area - Paved area
= 130,000 - 10,000
= 120,000 meters²
Answer: right side behavior:
f(x) is Decreasing
g(x) is Increasing
h(x) is Increasing
j(x) is Decreasing
<u>Step-by-step explanation:</u>
The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial
<u>Sign of leading coefficient</u> (term with greatest exponent):
- If sign is positive, then right side is increasing
- If sign is negative, then right side is decreasing
<u>Degree of polynomial</u> (greatest exponent of polynomial:
- If even, then end behavior is the same from the left and right
- If odd, then end behavior is opposite from the left and right
f(x) = -2x²
- Sign is negative so right side is decreasing
- Degree is even so left side is the same as the right side (decreasing)
as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Decreasing
g(x) = (x + 2)³
- Sign is positive so right side is increasing
- Degree is odd so left side is opposite of the right side (decreasing)
as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -∞ Decreasing
- Sign is positive so right side is increasing
- Degree is an even <u>fraction</u> so left side is opposite of the right side as it approaches the y-intercept (-1)
as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -1 Decreasing to -1
- Sign is negative so right side is decreasing
- Degree is odd so left side is opposite of the right side (increasing)
as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Increasing
Answer:
- Step 1, all the exponents are increased by 4
Step-by-step explanation:
<u>The three steps are</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ =
- x²×y⁸/y⁴×x⁸×x⁸×y² =
- x²×y⁸/y⁶×x¹⁶
<u>Correct solution should be:</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ = all powers inside the parenthesis should be multiplied by 4 as per power of the power (xᵃ)ᵇ = xᵃᵇ
<u>This would give next steps:</u>
- x⁻⁸×y¹⁶/y⁴×x⁸×x⁸×y⁻⁸ =
- x⁻⁸×y¹⁶/x¹⁶×y⁻⁴ =
- y²⁰/x²⁴
<u>Answer options:</u>
Step 1, all the exponents are increased by 4
- There should be multiplication of powers. (It is close option but is not fully correct as not all the exponents increased by 4, for example y became y⁴)
Step 2, the exponents of the same base are added during multiplication
Step 3 wasn't performed yet, there was step 1 and 2.
- So answers about step 3 are irrelevant
Answer:
Area is 582 feet squared
Step-by-step explanation:
So, it suggests you break the shape apart, which is exactly what we can do to solve this problem.
We know that the longest side is 38ft, but to find the remaining length of the top, we will subtract 21 from 38.
So: 38ft - 21ft = 17ft
Now we can break the shape. The square will be 21 by 18 ft, and the remaining rectangle shape will be 12 by 17ft.
For the area, we'll start with the square. The formula for area is length times width: A=LW
For the square, we have the length, 21, and the width 18ft. All we have to do is multiply them:
21 * 18 = 378ft. squared
Now we can move on the rectangle, which has a length of 17ft, and width of 12ft.
12 * 17 = 204ft. squared
Last step! We add our areas together to get the entire shape's area. So..
378ft. + 204ft. = 582ft. squared
Good luck :P
Answer:
d
Step-by-step explanation:
