Answer:
A. x = 3.03
B. x = 4/3
Step-by-step explanation:
A. 2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:
(x - 0.03) = 3. Removing the parentheses, we get: x = -0.03 = 3, or x = 3.03.
B. The distributive property is the faster method here. We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:
3(4 + x) = 16
and then carry out the indicated multiplication: 12 + 3x = 16, or
3x = 4, or x = 4/3
Answer:
129.89 m²
Step-by-step explanation:
Area of a circle of radius r is A = πr².
If r = 6.43 m, then A = π(6.43 m)² = 129.89 m²
ANSWER
The smaller angle is

.EXPLANATION
Let the angles be

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,

If one angle is 4 times the other, we can then write the following equation,

We put equation (2) into equation (1) to get,


We divide through by 5 to obtain,

This implies that,

Answer:

Step-by-step explanation:
<u>Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:

It can be found by substituting g into f.
We are given the functions:
f(x) = -x + 3
g(x) = -x -1
Find

Removing parentheses:

Simplifying:
