Answer:
Step-by-step explanation:
those angles are congruent because they are vertical angles
6x+4 = 58 ; subtract 4 from both sides
6x = 58-4 ; combine like terms
6x = 54; divide both sides by 6
x= 9
Answer:
B. decrease the intercept, increase the slope
Step-by-step explanation:
A slope indicates the steepness of a line while the intercept points the location where it intercepts its axis. The linear relationship between can be defined using the intercept and the slope. Both concepts are used to estimate the average range of change. Since we are trying to add a peak current value of 0.38 which is lesser than the average, the intercept of the graph would therefore decrease and the slope increase.
7, is the part of the solution set because of the number it has inside of it. 8 years old worth of
Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
