Jennifer spent $100 at the mall, during tax free weekend.
1 answer:
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To answer this, we will need to know:
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
into 
form. Lets do it!
=
(Subtract 3x from both sides)
=
(Divide both sides by 5)
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
.
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
, which is our final answer.
Thank you, and I wish you luck.
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
=
=
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
Thank you, and I wish you luck.
Answer:
Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:
Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):
It follows that b=0
The equation now takes the form:
Using the point (12,5):
We find m:
The final equation is:
Substituting t=1:
The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
Answer:
dec form: -0.13
Step-by-step explanation: