Answer:
A
Step-by-step explanation:
To answer this, we need to see what happens to the curves on the given interval
For f(x), we have that there is a decrease as we are moving from a higher positive value of y to a lower positive value of y over the specified interval
For g(x), we can see that we are moving from a lower positive y value to a higher positive y value
What this mean is that the first option is correct
Answer:
The answer is 37.44
Step-by-step explanation:
Step 1: Divide 52 by 100
In this case, the number that we are "comparing" to 100 is 52, so we must first normalize the number by dividing it by 100. The operation we have to solve is this:
52
100
=
52
÷
100
=
0.52
Step 2: Multiply 0.52 by 72 to get the solution
Now that we have our normalized number, 0.52, we just have to multiply it by 72 to get our final answer. The forumla for this is obviously quite simple:
0.52
×
72
=
37.44
Answer:
Step-by-step explanation:
Both $94 and 12% were rounded down, so the estimate will be less than the actual amount.
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.