For the telephone bill, Etisalat charges you a fixed amount of 50 AED each month, plus 0.25 AED per minute of usage. My Bill las
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Answer:
1st blank:
2nd blank:
3rd blank: Slope-intercept form:
Step-by-step explanation:
Let x be the number of sandwiches and y be the number of wraps.
We have been given a chart of values, which represents Sal's total profit on lunch specials for two months. We are asked to fill in the empty boxes.
We have been given that Sal gets a profit of $3 after selling each sandwich, so Sal's profit after selling x sandwiches will be 3x.
As each wrap gives a profit of $4, So Sal's profit after selling y wraps will 4y.
Since Sal’s total profit on lunch specials for next month is $1596. We can represent this information in an equation as:
We can see that our equation is in standard form, so let us convert it in slope-intercept form of equation.
Since we know that equation of a line in slope-intercept form is: , where,
m = Slope of line,
b = y-intercept or initial value.
Let us subtract 3x from both sides of our equation.
Let us divide both sides of our equation by 4.
Therefore, equation represents the Sal's total profit for 2nd month in slope-intercept form of equation.
Upon comparing our equation with slope-intercept form of equation we can see that slope of our line is and y-intercept is 399.
Answer:
Step-by-step explanation:
As per the question statement, a₁ is -6.25 and common ratio (r) is 1.25.
Therefore, the six terms of finite sequence would be as per the following equation . Thus, the series would be
- a1 = -6.25
- a2 = -6.25*r = -6.25*(1.25) = -7.8125
- a3 = -6.25*r^2 = -6.25*(1.25)^2 = -9.765625
- a4 = -6.25*r^3 = -6.25*(1.25)^3 = -12.20703125
- a5 = -6.25*r^4 = -6.25*(1.25)^4 = -15.2587890625
- a6 = -6.25*r^5 = -6.25*(1.25)^5 = -19.073486328125
So the points on the graph will be on following points,
(1, -6.25), (2, -7.8125), (3, -9.765625), (4, -12.20703125), (5, -15.2587890625), (6, -19.073486328125).
The graph would look like as attached.
The prove that the angle ABCD is said to be a parallelogram that shows both pairs of opposite sides as parallel figure is given below.
<h3>What is the parallelogram about?</h3>The four points in the shape above are : A, B, C, D.
Where
A = (-2,-4)
B = (1,2)
C = (2,10)
D = (-1,4)
We place or sit vector AB with vector DC and vector AD with vector BC
and so we find and place their coordinates.
vector AB (1-(-2), 2-(-4))
vector DC (2-(-1),10-4)
vector AD (-1-(-2), 4-(-4))
vector BC (2-1,10-2)
So we obtained:
vector AB (3,6)
vector DC (3,6)
vector AD (1,8)
vector BC (1,8)
Next step is to calculate for the lengths :
AB= DC=
Thus, AB = DC
AD = BC =
Hence one can say that AD is equal to BC.
Therefore, angle ABCD IS known to be a parallelogram .
Learn more about parallelogram from
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