Answer:
slope-intercept form: y = 3x - 14
slope: 3
y-intercept: -14
Step-by-step explanation:
To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.
"x" and "y" mean points that are on the line.
"m" is the slope.
"b" is the y-intercept.
Rearrange the equation to isolate "y"
3x - y = 14
3x - 3x - y = 14 - 3x Subtract 3x from both sides
-y = 14 - 3x Multiply both sides by -1.
y = -14 + 3x Put "3x" in front of "-14" because it has the 'x'
y = 3x - 14 Looks like y = mx + b
State the "m" and "b".
m = 3 (Slope of the line)
b = -14 (y-intercept of the line)
Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.
The domain of the graph is everything x is allowed to equal. Parentheses are used to show that x can be everything up to, but not including that number. Brackets are used to show x can be anything up to, and including, that number. The comma between the two numbers indicates that x can be anything between those two numbers.
Here, the time goes on the x axis and the distance will go on the y axis.
Time: 0 1 2 3 4 5 6 7 8 9 10
<span>Distance: 0.0 5.5 12.0 20.0 28.5 36.0 44.0 56.5 64.0 75.0
</span>
Since we are dealing with the domain, we really only need to focus on the time.
Time: 0 1 2 3 4 5 6 7 8 9 10
From this, we see that the values go from 0 to 10. This means that x can be anything from 0 to 10. Because there are y values that correlate with the numbers 0 and 10, we know that the domain will include 0 and 10. This indicates we must use brackets.
Knowing all of this information, we can now write our domain as:
[0, 10]
Answer:
is not; 90; right; wrong; 11; wrong
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Independent and dependent variables are exactly what they sound like.
The amount of money he gets paid <em>depends </em>on how long he babysits.
The ages of the children don't matter at all.
Answer:
BA + BC = AC
Step-by-step explanation:
B is the midpoint of AC
Then
BA = AC/2 and BC = AC/2
Then
BA + BC = AC/2 + AC/2 = AC
