Which function has the same y-intercept as the line graphed below?
1 answer:
Answer:
D. y + 4 = 2x
Step-by-step explanation:
The graph has a y-intercept at (0, -4).
A. y=16 - 3x/4
if x = 0, y = 16. FALSE.
B. 24 + 3y = 6x
If x = 0, 24 + 3y = 0
3y = -24
y = -8. FALSE.
C. 4y + x = 16
If x = 0, 4y = 16
y = 4. FALSE.
D. y + 4 = 2x
If x = 0, y + 4 = 0
y = -4. TRUE.
y = 4 + 2x has the same y-intercept as the graphed line.
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Answer:
A)3.74
B)17.04
C)61.92
Step-by-step explanation:
The equation of the line of best fit:
Where x is time in hours
y = midterm score
a)For an increase of one hour in the time spent studying, what is the predicted increase in the midterm score?
General equation y = mx+c
where m is the slope .
On comparing m = 3.74
Slope is the rate of increase per hour
So, For an increase of one hour in the time spent studying, the predicted increase in the midterm score is 3.74
b)What is the predicted midterm score for a student who doesn't spend any time studying?
Substitute x = 0
y=3.74x+17.04
y=3.74(0)+17.04
y=17.04
c)What is the predicted midterm score for a student who studies for 12 hours?
Substitute x = 12
So,y=3.74x+17.04
y=3.74(12)+17.04
y=61.92
Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is
Using this rule, we get
Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).