Answer:
x = 14.6
ZA = 30.8
ZB = 33.2
Step-by-step explanation:
First, solve x: (knowing all angles of a triangle are 180º)
116º + (2x + 4)º + (3x-13)º = 180º
116 + 2x + 4 + 3x - 13 = 180
2x + 3x = 180 + 13 - 4 - 116
5x = 73
x = 73/5 = 14.6
ZA = 3*14.6 - 13 = 30.8
ZB = 2*14.6 + 4 =33.2
Test:
116º + 33.2º + 30.8º = 180º
Answer:
about 1.4 hours
Step-by-step explanation:
3.13 gallons per minute.
60 minutes in an hour, so multiply both numbers by 60.
187.8 gallons per hour.
Divide the number of gallons we need to fill the tub the number of gallons put in per hour.
255÷187.8=1.375...
Round it, you get 1.4 hours.
It takes about 1.4 hours to fill the hot tub.
Answer: B) FalseThe input x = 5 leads to the two outputs f(x) = 2 and f(x) = 1 (as shown by the green arrows in the attached image). In order to have a function, all of the inputs must lead to exactly one output.
Answer:

Step-by-step explanation:
We want to prove algebraically that:

is a parabola.
We use the relations

and

Before we substitute, let us rewrite the equation to get:

Or

Expand :

We now substitute to get:

This means that:

Square:

Expand:




This is a parabola (0,2.5) and turns upside down.
Using it's concept, the rate of change between point C and point D is of 2.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the <u>change in the output divided by the change in the input</u>. Hence, over an interval [a,b], the rate is given as follows:

Considering the points of the given linear function, we have that:
Hence the rate of change between point C and point D is given by:
r = (4 - 2)/(2 - 1) = 2.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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