Answer:
24?
Step-by-step explanation:
The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3
Answer:
0.84
Step-by-step explanation:
Divide 63 by 75 and you get 0.84 (84%).
Add the following polynomials:
All polynomials are already ordered according to their degree (exponent), and therefore you can just add straight down in columns.
For x3: 2 + 1 - 3 = 0
For x2: -4 + 6 + 2 = 4
For x: 6 - 8 -4 = -6
Constants: -3 + 12 - 7 = 2
The answer is:
4x^2 - 6x + 2
Answer:
1st: 22, 2nd: 27, 3rd: 88
Step-by-step explanation:
Make an equation
If she recieved x calls the 1st evening, then the 2nd evening she recieved x+5, and the 3rd evening she recieved 4x.
x+x+5+4x=137
Combine like terms
6x+5=137
Subtract 5 from both sides
6x=132
Divide by 6 on both sides
x=22
First:
22 calls
Second:
x+5
22+5
27 calls
Third:
4x
4*22
88 calls
Hope this helps!
