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tia_tia [17]
2 years ago
8

Describe how the graph of f ( x ) = 1 x + 5 will differ from the graph of g (x) = 1/x

Mathematics
1 answer:
AleksandrR [38]2 years ago
5 0

Answer:

parent function is the simplest form of the type of function given.

The transformation from the first equation to the second one can be found by finding , , and for each equation.

Find , , and for .

Find , , and for .

The horizontal shift depends on the value of . The horizontal shift is described as:

- The graph is shifted to the left units.

- The graph is shifted to the right units.

Horizontal Shift: None

The vertical shift depends on the value of . The vertical shift is described as:

- The graph is shifted up units.

- The graph is shifted down units.

Vertical Shift: None

The sign of describes the reflection across the x-

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Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
A rubber ball is dropped onto a hard surface from a height of 9 feet, and it bounces up and down. At each bounce it rises to 80%
8_murik_8 [283]
There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is: h(n) = 108 * 0.8^n. To find the bounce height after 10 bounces, substitute n=10 into the equation: h(n) = 108 * 0.8^10 = 11.60in (2.d.p.). Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x: 108 * 0.8^x = 1; 0.8^x = 1/108; Ln(0.8^x) = ln(1/108); xln(0.8) = ln(1\108); x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
4 0
3 years ago
find the value of x of given figure and solve this question step by step plzz help question number D​​
Alinara [238K]

Answer:

x=15 cm

Step-by-step explanation:

The two triangles in the diagram are:

ABC and BDC

First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.

Hypotenuse is the largest side of a triangle which is usually in front of the right angle.

So in BDC

Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm

Applying Pythagoras theorem:

(Hypotenuse)^2  = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm

Solving for triangle ABC

Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\

Applying Pythagoras theorem

AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm

Hence,

x=15 cm

8 0
2 years ago
What is 14.9 round to?
Wittaler [7]
14.9 is rounded to 15 or if you are going by tens then it is 20
3 0
3 years ago
Read 2 more answers
Consider the function f(x) = 3x-1/x+4.
andrew-mc [135]

Ans(a):


Given function is f(x)=\frac{3x-1}{x+4}


we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0


so let's solve


x+4≠0 for x


x≠0-4


x≠-4


Hence at x=4, function can't have solution.


Ans(b):


We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)


so we get:


g(x)=f(x)+4


g(x)=\frac{3x-1}{x+4}+4


We may simplify this equation but that is not compulsory.


Comparision:  


Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):


To find value of x when g(x)=8, just plug g(x)=8 in previous equation


8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16


x=-17


Hence final answer is x=-17


6 0
3 years ago
Read 2 more answers
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