someone please help, write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.

Mathematics

1 answer:

Bess [88]2 years ago

7 0

Answer:

y=7x-47

Step-by-step explanation:

$(8, 9) = (x_1,y_1) \\ m = 7 \\ y - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)$

$y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47$

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I need help with number 10

lukranit [14]

A)
Knights:
25n-C+1250=0
25n+1250=C
C=25n+1250

Legions:
30n+995-C=0
30n+995=C
C=30n+995

b)
fixed cost=b in y-intercept form
variable cost, dependent on n=m in y-intercept form
Knights:
fixed=1250
variable=25

Legions:
fixed=995
variable=30

c)
insert 45 into n for both formulas:

Knights:
25*45+1250=1125+1250=2375

Legions:
30*45+995=1350+995=2345

d)With 45 guests the Legion's Banquett Hall is cheaper, but due to the higher variable cost this changes with a few more people.
calculate break even point:
difference in variable cost=5 -> per person the cost difference will decrease by this much if another person joins
current price difference: 2375-2345=30
30/5=6 -> if there are 6 additional guest (total= 51) they will cost the same
if there are more than 6 additional guest (total >51) the knight's banquett will be cheaper.

6 0

2 years ago

What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)

gizmo_the_mogwai [7]

The circumference of the circle is 75.36 cm.