Answer:
i. daily charge = £13
ii. fixed charge = £6
Step-by-step explanation:
Number of days (x) | Cost in £ (y)
1 | 19
2 | 32
3 | 45
4 | 58
5 | 71
Using the given table, we can represent this situation with an equation in slope-intercept form, y = mx + b, where,
m = slope = daily charge
b = y-intercept = fixed charge
✔️Thus, using the coordinates of any two given pairs, say (1, 19) and (2, 32):
Slope (m) = ∆y/∆x = (32 - 19)/(2 - 1) = 13/1
Slope (m) = 13
Therefore daily charge = £13
✔️To find y-intercept (b), substitute (x, y) = (1, 19) and m = 13 into y = mx + b.
Thus:
19 = (13)(1) + b
19 = 13 + b
b = 19 - 13
b = 6
Therefore, fixed charge = £6
✔️Substitute m = 13 and b = 6 into y = mx + b to represent the function given for the situation:
y = 13x + 6
28000 / 5 days = $5,600 per day
Wednesday, Thursday, Friday = 3 days.
5,600 x 3 days = $16,800
The amount should be $16,800
Answer:
has a right angle to hold the billboard upright. Since a triangle is 180, and there' s a right angle, then when you add angle A and angle B together, they should add up to 90.
Step-by-step explanation:
A = 2B + 15
A + B = 2B+15 + B = 90
3B + 15 = 90
3B = 75, so B = 25 degrees
90 - B = A, so A = 65 degrees
Answer:
)
Step-by-step explanation:
From the diagram,
.
The side of the triangle with length 11.9 is adjacent to the given angle.
We also know the hypotenuse to be 14.5 units.
We therefore use the cosine ratio to get;


We take the inverse cosine of both sides to get;
)
Answer:
D)5
Step-by-step explanation:
We know that opposite sides of a parallelogram are both congruent and parallel. So, we use the equation 3x+5=6x-10
Simplifying this we get x=5