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Artyom0805 [142]
3 years ago
10

WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0
I've never seen the terminology 'slope-intercept' form before, but it seems fairly self-explanatory that it means 'of the form y = m + c'.

Hence it is a simply rearrangement of the equation to start with, in order to make  the subject:






This is the graph in 'slope-intercept' form. From here it is easy to see that gradient  = and that y-intercept = 490.

The easiest way to draw a straight-line graph, such as this one, is to plot the y-intercept, in this case (0, 490), then plot another point either side of it at a fair distance (for example substitute  = -5 and  = 5 to procure two more sets of co-ordinates). These can be joined up with a straight line to form a section of the graph, which would otherwise extend infinitely either side - use the specified range in the question for x-values, and do not exceed it (clearly here the limit of -values is 0 ≤ x ≤ 735, since neither x nor y can be negative within the context of the question - the upper limit was found by substituting  = 0).

In function notation, the graph is:



The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.

When the profit is higher, the gradient is not changed (this is defined by the relationship between the $2 and $3 prices, not the overall profit) - instead the -intercept is higher:






Therefore we have gleaned that the new y-intercept is 531.

Clearly I cannot see the third straight line. However the method for finding the equation of a straight line graph is fairly simple:

1. Select two points on the line and write down their coordinates
2. The gradient of the line = 
3. Find the change in  (Δ
4. Find the change in  (Δ
5. Divide the result of stage 3 by the result of stage 4
6. This is your gradient
7. Take one of your sets of coordinates, and arrange them in the form , where your  is the gradient you just calculated
8. There is only one variable left, which is  (the y-intercept). Simply solve for this
9. Now generalise the equation, in the form , by inputting your gradient and y-intercept whilst leaving the coordinates as  and 

For example if the two points were (1, 9) and (4, 6):

Δ = 6 - 9 = -3
Δ = 4 - 1 = 3
 =  = -1
I choose the point (4, 6)
6 = (-1 * 4) + c
6 = c - 4
c = 10
Therefore, generally, 

Within the context of the question, I imagine the prices of the two lunch specials will be the same in the third month and hence the gradient will still be  - this means steps 1-6 can be omitted. Furthermore if the axes are clearly labelled, you may even be able to just read off the y-intercept and hence dispose with steps 1-8!

I hope this helps you
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47% of $118 estimated
bezimeni [28]
1. We assume, that the number 118 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 118 is 100%, so we can write it down as 118=100%. </span>
<span>4. We know, that x is 47% of the output value, so we can write it down as x=47%. </span>
5. Now we have two simple equations:
1) 118=100%
2) x=47%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
118/x=100%/47%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 47% of 118

118/x=100/47
<span>(118/x)*x=(100/47)*x       - </span>we multiply both sides of the equation by x
<span>118=2.12765957447*x       - </span>we divide both sides of the equation by (2.12765957447) to get x
<span>118/2.12765957447=x </span>
<span>55.46=x </span>
x=55.46

<span>now we have: </span>
<span>47% of 118=55.46</span>
6 0
3 years ago
Read 2 more answers
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. (2
Stells [14]

Answer: C is the answer

5 0
3 years ago
Hi got a question!
Eddi Din [679]

Answer:

Total no. of balls = 8

Red balls = 3

Yellow balls = 2

Green balls = 3

Now,

P (picking a yellow ball) = 2/8 = 1/4

P (picking a green ball) = 3/8

♥️Mark as brainliest♥️

5 0
3 years ago
Find the y and x-intercept for <br> -x+3y+3
Darya [45]
-x+3y+3=0 <-- This puts the expression into an equation to make it solvable.
3y+3=x  <-- Use Addition Property of Exponents to move the (x) to the right
3y=x-3 <-- Use Subtraction Property of Exponents to move the (3) to the right
y=\frac{1}{3}-1 <-- Use Division Property of Exponents to remove the 3 from y
y=\frac{1}{3}-1 < This is the equation for the y-intercept

-x+3y+3=0 <-- Same as above, makes it so the expression is an equation to solve
-x+3=-3y <-- Use Subtraction Property of Exponents to move the 3y to the right
-x=-3y-3 <-- Use Subtraction Property of Exponents to move the 3 to the right
x=3y+3 <--Use Divison Property of Exponents to remove the -1 from x
x=3y+3 <-- This is the equation for the x-intercept

Hope this helped!


6 0
3 years ago
Read 2 more answers
Work out the probability of rolling<br> exactly one Six
Zepler [3.9K]

Answer:

1/6

Step-by-step explanation:

I'd assume this is a dice? Please give more information.

7 0
2 years ago
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