What is the answer to this question? The difference of x and 22 is equal to 8
2 answers:
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Answer:
The interval of increase of g(x) is .
Step-by-step explanation:
The interval of increase occurs when first derivative of given function brings positive values. Let be , the first derivative of the function is:
The following condition must be met to define the interval of increase:
The first term is always position due to the quadratic form, the second one is a first order polynomial and it is known that positive value is a product of two positive or negative values. Then, the second form must satisfy this:
The solution to this inequation is:
Now, the solution to this expression in interval notation is:
Answer
Find out the how many women were there .
To prove
Let us assume that the x is the scalar multiple of men and women.
As given
The ratio of men to women was 3 : 2.
Than
The total number of men = 3x
The total number of women = 2x
As given
If 120 men used the gym.
thus
120 = 3x
x = 40
The total number of women = 2 × 40
= 80
Therefore 80 women were there in the gym .
Answer: 89
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**