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kifflom [539]
4 years ago
10

Which unit rate corresponds to the proportional relationship shown in the graph?

Mathematics
1 answer:
DochEvi [55]4 years ago
5 0

Unit rate in this case is the distance per second that the snail travels.

Basically, it is the slope.

slope=change in y/change in x=(16-0)/(12-0)=4/3

answer: 4/3 cm per second

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What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?
puteri [66]

Answer: The answer is (D) y-1=\dfrac{3}{2}(x+3).

Step-by-step explanation:  We are given to find the equation of a line which is parallel to the line in the graph and passing through the point (-3, 1).

The points (-2, -4) and (2, 2) lie on the line in the graph, so its slope will be

m=\dfrac{2+4}{2+2}=\dfrac{6}{4}=\dfrac{3}{2}.

The slope of the line parallel to the line in the graph will also be same. Since the new line passes through the point (-3, 1), so the equation of the line will be

y=1=m(x+3)\\\\\Rightarrow y-1=\dfrac{3}{2}(x+3),

which is in the slope-intercept form.

Thus, the correct option is (D).

3 0
3 years ago
How many units the function y = |x - 8| is translated from the parent function?
PtichkaEL [24]

Answer:

8 Units, let me know if you didn't understand anything.  

Step-by-step explanation:

Translation is the simple movement of just left, right, up or down.  when dealing with the absolute value function here are the transformations.

A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D.  B is the horizontal shrink, so you divide all x  values by B except for where x=C.  C is the horizontal shift, which is a translation.  C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left.  it could also look like |x + C|.  keep in mind, +C is actually -C because - -C = C.  D shifts up and down, so it is also a translation.  if D is positive it moves up and if D is negative it moves down.

Nowthe only transformation in your problem is -8, which is a horizontal shift to the right.  so the graph moves 8 to the right.  There is your answer, 8 units.

6 0
3 years ago
Solve and graph the absolute value inequality
weeeeeb [17]

|4x+1|\leq5\iff4x+1\leq5\ \wedge\ 4x+1\geq-5\ \ \ \ |-1\\\\4x\leq4\ \wedge\ 4x\geq-6\ \ \ \ |:4\\\\x\leq1\ \wedge\ x\geq-1.5

6 0
3 years ago
Bill and Jasmine together have 94 marbles. Bill has 4 more than twice as many marbles as Jasmine If Jasmine has M marbles, then
laila [671]
<span>Jasmine has 30, bill has 64
</span>
4 0
4 years ago
What is the graph of the inequality 3x+2y&gt;-5
Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the x-intercept and y-intercept for given equation.

For  x-intercept , substitute y=0

Considering inequality sign as equality and simplifying,

3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3} , point is (-\frac{5}{3} ,0)

Similarly,

For y-intercept , substitute x=0

We get,

3x+2y=-5\\0+2y=-5\\y=-5/2 , point is (0,-\frac{5}{2})

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

4 0
3 years ago
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