For number 1, I think its C because that makes the number 55000
When x = -1,
y = 12⁻¹ = 1/12 = 0.0833
When x= 0,
y = 12⁰ = 1 = 0.0833*12
When x = 1
y = 12¹ = 12 = 1*12
When x = 2,
y = 12² = 144 = 12*12
When x = 3,
y = 12³ = 1728 = 144*12
The rule is to multiply the previous value of y by 12 as x increases by 1.
Answer: Multiply by 12
The second choice is the correct answer.
Answer:
Its the price of the Christmas cards because the price depends on how many cards you buy.
Step-by-step explanation:
Answer:
(a) x +5y = 22
(b) p = 11, q = 5
Step-by-step explanation:
<h3>(a)</h3>
The derivative of a function tells you the slope of its curve at every point. Then the slope of C at x=2 is ...
dy/dx = 2³ +2(2) -7 = 5
The normal to the curve at the point of interest will have a slope that is the opposite reciprocal of this: -1/5. Then the point-slope equation of the normal line can be written as ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -4 = -1/5(x -2) . . . . line with slope -1/5 through point (2, 4)
5y -20 = -x +2 . . . . multiply by 5
x +5y = 22 . . . . . . add x+20 to put in standard form
The graph shows curve C and the desired normal line.
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<h3>(b)</h3>
The power rule for derivatives tells you ...
(d/dx)(a·x^n) = a·n·x^(n-1)
This relation gives you two ways to find the values of p and q.
a) using the exponent of the term
b) using the coefficient of the term
Either way, the values are ...
p = 10 +1 = 11
q = 4 +1 = 10/2 = 5