The correct option is (B) 4x^2 + 18x + 18
Explanation:
The area is given as:
(3+2x)(6+2x)
To find the polynomial just simplify it.
3(6+2x) + 2x(6+2x)
18 + 6x + 12x + 4x^2
4x^2 + 18x + 18
Answer:
3x - y = 8
y = 3x - 8
y = 3*2.5 - 8 = -0.5 --> (2.5, -0.5)
y = 3*5 - 8 = 7 --> (5, 7)
Answer C is correct.
Answer:
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Step-by-step explanation:
The point (2, 5) is not on the curve; probably you meant to say (2, -5)?
Consider an arbitrary point Q on the curve to the right of P,
, where
. The slope of the secant line through P and Q is given by the difference quotient,

where we are allowed to simplify because
.
Then the equation of the secant line is

Taking the limit as
, we have

so the slope of the line tangent to the curve at P as slope 2.
- - -
We can verify this with differentiation. Taking the derivative, we get

and at
, we get a slope of
, as expected.
Answer:
b+54
Step-by-step explanation:
Since Jackie has 54 fewer beads than Sally, Sally has 54 more beads than Jackie. Since b is the number of beads that Jackie has, then Sally's beads would be 54 more than that thus it would be b+54.