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3 years ago

Help please!! Will mark brainliest!

Mathematics

1 answer:

Alisiya [41]3 years ago

5 0

Answer:

1. shift right by 3.1 units

2. flip over y axis

3. shift up by 1

Step-by-step explanation:

to transform from x⁵ to (-x+3.1)⁵+1, we must do the following

1. add 3.1 to x (plug (3.1 + x) in for x) to get (x+3.1)⁵

2. switch x to -x to get (-x+3.1)⁵

3. add 1 to the remaining function to get (-x+3.1)⁵ +1

f(x) = x⁵

plug (3.1 + x) in for x

f(x+c) is when (x+c) is plugged in to x, and its shifts the graph to the right by c units

here, 3.1 = c

thus, we shift right by 3.1 units to get to (x+3.1)⁵

f(x) = (x+3.1)⁵

f(-x) flips a graph over the y axis, and that's what we're doing as we're switching x to -x, resulting in (-x+3.1)⁵

f(x) = (-x+3.1)⁵

here, we add 1 to the whole function, and not to x. if we plugged it into x, we'd have (-(x+1)+3.1)⁵, which is not what we want. thus, we add 1 to f(x)

f(x) + c shifts a graph up by c units. here, c = 1, so we shift up by 1 to get

(-x+3.1)⁵ + 1

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List all the 3-digit numbers that can be created by rearranging these number tiles<br> 582

Ugo [173]

Answer:

see explanation

Step-by-step explanation:

3- digit numbers starting with 5 are

528 and 582

3- digit numbers starting with 2 are

258 and 285

3- digit numbers starting with 8 are

825 and 852

there are 6 possible 3- digit numbers

258 , 285 , 528 , 582 , 825 , 852

4 0

2 years ago

Write the fraction as an equivalent fraction with the given denominator: 3/5 = ?/25 ?

Tom [10]

The answer would be 15/25
3/5 times 5/5=15/25
15/25 divided by 5/5=3/5

4 0

3 years ago

Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5

Ludmilka [50]

We know that
Two angles are said to be co-terminal <span>if they have the same initial side and </span>
<span>the same terminal side.
</span>
(52π/5)-----> 10.4π<span>
so
</span>(52π/5)-5*2π------> (2π/5)

the answer is
the positive angle less than one revolution around the unit circle that is co-terminal with angle of 52π/5 is 2π/5

7 0

4 years ago

Read 2 more answers

Consider the following vector function. R(t) = 9 2 t, e9t, e−9t (a) find the unit tangent and unit normal vectors t(t) and n(t)

garik1379 [7]

The unit tangent vector is T(u) and the unit normal vector is N(t) if the vector function. R(t) is equal to 9 2 t, e9t, e−9t.

<h3>What is vector?</h3>

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have vectored function:

$\rm R(t) = (9\sqrt{2t}, e^{9t}, e^{-9t})$

Find its derivative:

$\rm R'(t) = (9\sqrt{2}, 9e^{9t}, -9e^{-9t})$

Now its magnitude:

$\rm |R'(t) |= \sqrt{(9\sqrt{2})^2+ (9e^{9t})^2+ (-9e^{-9t})^2}$

After simplifying:

$\rm R'(t) = 9 \dfrac{e^{18t}+1}{e^{9t}}$

Now the unit tangent is:

$\rm T(u) = \dfrac{R'(t)}{|R'(t)|}$

After dividing and simplifying, we get:

$\rm T(u) = \dfrac{1}{e^{18t}+1} (\sqrt{2}e^{9t}, e^{18t}, -1)$

Now, finding the derivative of T(u), we get:

$\rm T'(u) = \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t}), 18e^{18t}, 18e^{18t})$

Now finding its magnitude:

$\rm |T'(u) |= \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t})^2+ (18e^{18t})^2+( 18e^{18t})^2)$

After simplifying, we get:

$\rm |T'(u)|= \dfrac{9\sqrt{2}e^{9t}}{e^{18t}+1}$

Now for the normal vector:

Divide T'(u) and |T'(u)|

We get:

$\rm N(t) = \dfrac{1}{e^{18t}+1} ( 1-e^{18t}, \sqrt{2}e^{9t}, \sqrt{2}e^{9t})$

Thus, the unit tangent vector is T(u) and the unit normal vector is N(t) if the vector function. R(t) is equal to 9 2 t, e9t, e−9t.

Learn more about the vector here:

brainly.com/question/8607618

#SPJ4

3 0

2 years ago

A student considers how mnay people enter a particular bank during the lunch hour and how many exit. She decided to run a simula

trapecia [35]

Answer:

The number of persons entering the bank based on given 20 simulations are 12

The number of persons exiting the bank based on given 20 simulations are 8

We have to find the probability that she will see a person entering the bank.

The probability that she will see a person entering the bank is: