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andrew-mc [135]
2 years ago
9

If you vertically stretch the cubic parent function, f(x) = x3, what is the

Mathematics
1 answer:
Fofino [41]2 years ago
4 0
In order to vertically stretch the parent function, you have to make the absolute value of the coefficient of x^3 larger. meaning that the coefficient of x^3 has to be greater than one or less than negative one
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A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere
alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat =  x mph

Let The speed of current =  mph

Now, According to question

∵ Speed = \dfrac{Distance}{Time}

<u>For Downstream</u>

x + y = \dfrac{D}{T}

Or, x + y =  \dfrac{10.5}{1.5}

Or, x + y = 7          .......A

<u>For Upstream</u>

x - y = \dfrac{d}{t}

Or, x - y =  \dfrac{10.5}{3.5}

Or, x - y = 3          .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴  x = \dfrac{10}{2}

i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

7 0
3 years ago
For the angle 7π/4, draw and upload a representation of the angle on the unit circle in the coordinate plane. Place the angle in
melomori [17]

Answer:

2eXz2

Step-by-step explanation:

8 0
3 years ago
The function ​f(x)​ is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable
Keith_Richards [23]
F(x)=5x

normal domain: all real numbers
practical domain: <span>all positive integers

</span>becasue we can substituent with any positive integer in the place of x
3 0
3 years ago
Read 2 more answers
Please i need help!!
LiRa [457]

Answer:

Option B is correct

Step-by-step explanation:

because when you compare the table with graph you can understand easily.

8 0
3 years ago
Read 2 more answers
Help.... and thanks
Archy [21]

Answer:

π

Step-by-step explanation:

The *period* of a function is the length it takes before it repeats. Usually, the period of the sine function is 2π; it takes a full rotation around the unit circle for it to repeat. When we replace the input x with -2x, this does a few things:

- Changes the rotation direction

- Makes the rotation go twice as fast

If we rotate around the unit circle twice as fast, it’ll take us half of 2π, or just π to complete a cycle.

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4 years ago
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