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vaieri [72.5K]
3 years ago
7

We want to place a bench measuring 7.05 feet in the center of a platform that is 40.75 feet long

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0
40.75 - 7.05= 33.7
33.7 / 2 = 16.85 
16.85 ft. should be on each side of the 7.05 ft. bench 
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Factor f(x) = 4x^2 − 5x − 21
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x = -7/4, 3

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Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your
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2 years ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
blondinia [14]

Answer:

Step-by-step explanation: For part 1, it makes sense that the form is y = m + c. So, 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 the 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 easy terms, 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

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Δ = 6 - 9 = -3

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=  = -1

I choose the point (4, 6)

6 = (-1 * 4) + c

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Therefore, generally,

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4 0
3 years ago
The answer to my question
poizon [28]
The answer would be B. because a unit rate is usually equal to one for the sake of conversion
5 0
3 years ago
Read 2 more answers
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