ANSWER
Option C is correct.
EXPLANATION
The given function is
![y = \sqrt[3]{x - 1} + 3](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20%20%2B%203)
The base function is
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
The given function has the same domain as its base function which is all real numbers.
Any real number you plug into this function is defined.
Since the function has no restriction, the domain is all real numbers.
Answer:
19/18
Step-by-step explanation:
The GCF of 9, 3, and 18 is 18.
Each denominator must be multiplied to 18, and as a result what you multiply in the denominator MUST be multiplied in the numerator.
9 * 2 = 18
1 * 2 = 2
2/18
3 * 6 = 18
6 * 2 = 12
12/18
5/18
Add all three fractions together:
12/18 + 5/18 + 2/18 = 19/18
Answer:
70 degrees
Step-by-step explanation:
Complementary angles sum up to 90.
To find the larger angle, you find the total of the values in the ratio, divide the larger value of the ratio by the total and multiply it by 90.
(7/7+2)×90=7/9×90
=7×10
=70
OR
Write an equation:
7x+2x=90
9x=90
x=10
Then multiply x by the larger value.
7x=7 (10)=70
Let the supplement be s.
180=s+115 => s=180-115= 65 degrees
Answer:
Option C. 3
Step-by-step explanation:
Let M1 be the slope of the red line
Let M2 be the slope of the green line
From the question:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
The slopes of perpendicular lines are related as follow:
M1 = –1 / M2
With the above formula, the slope of the green line (M2) can be obtained as illustrated below:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
M1 = –1 / M2
– 1/3 = –1 / M2
Cross multiply
– 1 × M2 = – 1 × 3
– 1 × M2 = – 3
Divide both side by –1
M2 = – 3/ –1
M2= 3
Therefore, the slope of the green line is 3.
