For this case we have that by definition, a function is of the form:

So, we have the following system of equations:

Equating the equations we have:

Adding 2x to both sides of the equation:

Subtracting 2 from both sides of the equation:

Dividing between -4 on both sides of the equation:

Thus, the value of the variable "x" is -0.5.
Answer:
-0.5
There are 2! = 2 ways to arrange the names of two basketball players in a hat.
Since, the are going to throw alphabetically, there is 1 way for the names to be arranged alphabetically.
Therefore, <span>the probability that they shoot free throws in alphabetical order is

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∠A = 24°
∠B = 87°
∠A = 24°
Explanation:
The sum of angles in a triangle is 180 degrees
let measure of angle A = ∠A
∠B = 15 more than three times the measure of angle A
∠B = 15 + 3∠A
∠C = 45° more than the measure of angle A
∠C = 45° + ∠A
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 15 + 3∠A + 45° + ∠A = 180
collect like terms:
∠A + 3∠A + ∠A + 15 + 45 = 180
5∠A + 60 = 180
5∠A = 180 -60
5∠A = 120
∠A = 120/5
∠A = 24°
∠B = 15 + 3∠A = 15 + 3(24)
∠B = 87°
∠C = 45° + ∠A = 45° + 24°
∠C = 69°
Answer:
Amount water added = 4.5 L
Step-by-step explanation:
Given:
Amount of solution = 9 L
Amount of bane-berry = 3% of 9 L = 0.27 L
Computation:
Assume;
Amount water added = x L
Total solution = 9+x L
New percentage of bane-berry = 0.27x100/(9+x)
2 = 0.27*100/(9+x)
x = 4.5 L
Amount water added = 4.5 L
Answer:
Directions: Write the name and composition of the following composer/s below. Space provided for your answer.