Answer:
see below
Step-by-step explanation:
The function f(x) is the absolute value function scaled vertically and shifted up. Neither of those transformations affects the interval on which it is increasing. The absolute value function increases for x > 0. (It is neither increasing nor decreasing at x=0.)
__
The function g(x) is a parabola that opens downward. Consequently, it is increasing for all values of x to the left of its vertex (or line of symmetry). That line of symmetry can be found as ...
x = -b/(2a) = -(8)/(2·(-1)) = 4
So g(x) is increasing from -∞ to 4, but at x=4 is neither increasing nor decreasing.
__
Then the interval on which both functions are increasing is ...
{x > 0} ∩ {x < 4} = {0 < x < 4}
This will be graphed as a line between 0 and 4 with open circles at each end.
_____
The second attachment shows the two functions so you can see where their slopes are positive.
Answer:
The length of the pother piece of the wood is 25 cm.
Step-by-step explanation:
Let the length of a piece of wood is x such that the ratio of two pieces is 2:5. Two pieces are 2x and 5 x
Length of the first piece is 10 cm. It means, 2x = 10 i.e. x = 5
We have considered that the length of other piece is 5x. It means 5×5 = 25 cm.
Hence, the length of the pother piece of the wood is 25 cm
The measure of the largest angle is 75 degrees.
<h3>What is a triangle? </h3>
A triangle is a polygon with three sides and vertices. The sum of angles in a triangle is 180 degrees. Types of triangles include: right-angled triangle, isosceles triangle, equilateral triangle and scalene triangle.
<h3>What is the measure of the largest angle? </h3>
The measure of the largest angle = (largest ratio / sum of ratios) x 180
10 / 24 x 180 = 75 degrees
Please find attached an image of a triangle. To learn more about a triangle, please check: brainly.com/question/9329354
4x + 8 = -12 is the equation for this statement
Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :

We also know that the probability of S given that H occurs is:

If two events S and H are independent then:

This mean that if two events S and H are independent then:


We know that:
and 

This means that S and H events are dependent.
The answer is the option B