We have a function of which we only know the graph.
We have to find in which intervals the function is decreasing.
We know that a function is decreasing in some interval when, for any xb > xa in the interval, we have f(xa) < f(xb).
This means that when x increases, f(x) decreases.
We can see this intervals in the graph as:
We assume each division represents one unit of x. Between divisions, we can only approximate the values.
Then, we identify all the segments in the graph where f(x) has a negative slope, meaning it is decreasing.
We have the segments: [-3, -1.5), (1,5, 4.5) and (7,9].
Answer:
The right options are:
Between 1.5 and 4.5
Between -3 and -1.5
Between 7 and 9
To solve this problem, we are going to set up a system of equations, or two equations that we can use to find out two variables. Let x represent the measure of one of the side lengths, and b represent the length of the base.
We know that the sum of the two equal legs is six more than three times the length of the length of the base, or the following equation.
2x = 6 + 3b
We also know that the perimeter, or the addition of both equal side lengths and the base equals 38, or the following equation.
2x + b = 38
To solve this system of equations, we can use substitution for 2x. (This means that because we know what 2x equals in terms of b, we can substitute this value into the other equation).
6 + 3b + b = 38
Now, we have to simplify and solve this equation.
4b + 6 = 38
4b = 32
b = 8
This means that the base measures 8 cm. Because we know this measurement, we can substitute 8 into one of our beginning equations for b to solve for x.
2x + b = 38
2x + 8 = 38
2x = 30
x = 15
Therefore, the base of the triangle is 8 cm, and the equivalent side lengths both measure 15 cm.
Answer:
An=a+(n-1)d
Wish this will help you teaching me
It’s 0.35, it’s 35/100, 35% is a bit more than a third,