Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,

This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of
).
Therefore, range of the function will be (-∞, ∞).
Answer:
The correct answer to this question is A) 19 cubic feet of snow
Step-by-step explanation:
To solve this, use the equation V = 4/3 (π r^3) to get the volume of each. Then add all the volumes together: (1ft x3.14) + (2ft x3.14) + (3ft x3.14). You will get 19 cubic feet of snow. This is how much snow is needed to build the whole snowman.
Answer:
The measure of one angle is 81.3° and the other angle is 8.7°.
Step-by-step explanation:
We are given that two angles are complementary. One angle's measure is 3 more than 9 times the other angle.
Let the measure of one angle be 'x' and the measure of other angle be 'y'.
So, according to the question;
- <u>The first condition</u> states that two angles are complementary, this means that the sum of both angles must be equal to 90°, i.e;
x + y = 90°
x = 90° - y ---------------- [equation 1]
- The second condition states that One angle's measure is 3 more than 9 times the other angle, i.e;
x = 3 + 9y ------------ [equation 2]
Now, both the equations we get;
90 - y = 3 + 9y
9y + y = 90 - 3
10y = 87
= 8.7°
Now, putting the value of y in equation 1 we get;
x = 90° - y
x = 90° - 8.7° = 81.3°
Hence, the measure of one angle is 81.3° and the other angle is 8.7°.
Answer: 1
Step-by-step explanation: 863x14ysqrt9= 3 simplified is 1