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Lilit [14]
3 years ago
6

Graph and write a description of the following function: f(x) = 3^x-2 + 1

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer: Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (3, -1)

Focus: (3, - 3/4)

Axis of Symmetry: x = 3

Directrix: y = - 5/4

Step-by-step explanation:

graph{3x/(x^2-1) [-18.02, 18.02, -9.01, 9.02]}

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Write using only positive exponents. 16x^4z^4/36x-2yz^0
kolbaska11 [484]

Answer:

Step-by-step explanation:

16x^4y^-3z^4 / 36x^-2yz^0

16x^4y^-3z^4 = 16x^4z^4/y^3

36x^-2yz^0 = 36x^-2y(1) =36x^-2y = 36y/x^2

16x^4y^-3z^4 / 36x^-2yz^0

= (16x^4z^4/y^3) / (36y/x^2)

= 16x^4z^4/y^3 * x^2/36y  

= (4/9)x^6z^4/y^4

or another way

fist multiply it out

f(x) = 4x^(3/5) - x^(8/5)

now differentiate knowing d/dx(x^n) = n x^(n-1)

to get

4*(3/5) x^(-2/5) - 8/5 x^(3/5)

simplify to get

12/5/x^(2/5) -   8/5 x^(3/5)

If this is what your looking for please give me brainiest, i have done this problem in the past so i know how to solve it :)

5 0
3 years ago
Find the value of k so that the line passing through the given points has slope m
masha68 [24]
The first one is k=2 and the second answer is 0 so basically all you doing is adding the equations
6 0
3 years ago
It takes Diego 1/24 of an hour to complete a lap on a circular bike track. The track is 1/3 milelong. What is Diego's bike speed
Anastasy [175]

Answer:

C. 8 miles per hour

Step-by-step explanation:

1/24th of an hour is 2.5 minutes, taking Diego 2.5 minutes to ride 1/3rd of a mile

2.5 x 3 (to signify how long it would take Diego to ride a mile) = 7.5 minutes

60 divided by 7.5 = 8

<em>Therefore, Diego's speed in MPH is </em><em>8.</em>

4 0
3 years ago
Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
3 0
3 years ago
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Alja [10]

Answer:

Step-by-step explanation:

150/360=5/12 so the sector is 5/12 the area of the whole circle which is 81π. 5/12(81π) =405/12 or 135/4. Answer A

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3 years ago
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