<span>Express each ratio in simplest form 18:30
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2. 5(x-1)=-3x+35
5x-5=-3x+35
5x=-3x+30
2x=30
x=15
The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
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You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Answer: Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x
Step-by-step explanation:
Let x = number of slices
As per given,
Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)
i.e. Total monthly cost for x slices = 5+1.5x
If x=20
Then, Nazim have to pay = 5+1.5(20)
= 5+30= $35
i..e Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x