Answer:
x = 6
Step-by-step explanation:
As the function f(x) is an exponencial function, it will grow faster than g(x), that is a linear function.
For small values of x, we have that f(x) < g(x). For example:
f(1) = 1/2 * 2 = 1
g(1) = 5*1 + 2 = 7
f(2) = 1/2 * 4 = 2
g(2) = 5*2 + 4 = 14
So we just need to check some integer values and see when f(x) will be bigger than g(x). It will not be a big value, as the exponencial function grows very fast.
For x = 5, we have:
f(5) = 1/2 * 32 = 16
g(5) = 5*5 + 4 = 29
For x = 6, we have:
f(6) = 1/2 * 64 = 32
g(6) = 5*6 + 4 = 34
For x = 7, we have:
f(7) = 1/2 * 128 = 64
g(7) = 5*7 + 4 = 39
So the largest integer value of x for f(x) ≤ g(x) is x = 6.
Another way to solve this is by plotting both equations, and then checking where they cross, that is, where f(x) = g(x).
125x + 55 < 555
Okay, subtract 55 from both sides.
125x < 500
Divide by 125 to isolate the x.
125x < 500
/125 /125
x < 4
The school can have the DJ for less than 4 hours, or for 4 hours. Hope that helps.
Answer:
Q:
my problem is this. Solve the problem.The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger t…
A:
In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger than each of the other two angles. Find the measure of angle Step-by-step explanation:
Find the measures of angles A, B, and C in triangle ABC, if measure of angle B = 5 times the measure of angle A measure of angle C = measure of angle A + 110
✓ A + B + C = 180 A + 5A + A+110 = 180
5(x+2) turns into 5x+10 where 5x+2 is already in its simplified form so to write it as 5x+2 instead would make you get the wrong answer.
A function assigns the values. The correct option is graph X.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.
Hence, the correct option is graph X.
Learn more about Function:
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