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2 years ago

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Inverse of y = 2x squared

1 answer:

lesya692 [45]2 years ago

5 0

The inverse of the given function is y = $\rm \sqrt {x/2}$ .

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

The function given is

y = 2x²

To find the Inverse of a function ,

The x and y are interchanged and the function is again written in terms of x

Here

x = 2y²

y² = x/2

y = $\rm \sqrt {x/2}$

Therefore the inverse of the given function is y = $\rm \sqrt {x/2}$ .

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Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?

Paladinen [302]

Answer:3x⁵

Step-by-step explanation: is equivalent to 3x⁵

7 0

3 years ago

Factor each expression 16x+40y

prohojiy [21]

Hi there!

To factor this expression, you must first find the greatest common factor of each term, 16x and 40y.

To do this, first list the factors of each coefficient since they do not share any variables:
16:1,2,4,8,16
40:1,2,4,5,8,10,20,40

Notice that among the factors of each term, 8 is the greatest common factor.

Finally, factor 8 from the expression to get 8(2x+5y) as your final answer.

Hope this helps, and have a nice day!

5 0

4 years ago

Complete the set of ordered pairs for the relation.

Nonamiya [84]

The set of ordered pairs are $(-2,18),(-1,20),(0,22),(1,24),(2,26)$

Step-by-step explanation:

Given that the relation $\{(x, y): y=2(x+11) \text { and } x \in(-2,-1,0,1,2)\}$

To find the set of ordered pairs, let us substitute the value for x in the relation $y=2(x+11)$

For $x=-2$ ,

$\begin{aligned}y &=2(-2+11) \\&=2(9) \\y &=18\end{aligned}$

The ordered pair is $(-2,18)$

For $x=-1$ ,

$\begin{aligned}y &=2(-1+11) \\&=2(10) \\y &=20\end{aligned}$

The ordered pair is $(-1,20)$

For $x=0$ ,

$\begin{aligned}y &=2(0+11) \\&=2(11) \\y &=22\end{aligned}$

The ordered pair is $(0,22)$

For $x=1$ ,

$\begin{aligned}y &=2(1+11) \\&=2(12) \\y &=24\end{aligned}$

The ordered pair is $(1,24)$

For $x=2$ ,

$\begin{aligned}y &=2(2+11) \\&=2(13) \\y &=26\end{aligned}$

The ordered pair is $(2,26)$

Thus, the set of ordered pairs is $(-2,18),(-1,20),(0,22),(1,24),(2,26)$

7 0

4 years ago

In the past, professional baseball was played at the Astrodome in Houston, Texas. The Astrodome has a maximum height of 63.4 m.

8_murik_8 [283]

Answer:

The correct value of the h function is; h= -9.8t² + 45t + 1

Using the discriminant, no real solution exists and the baseball will not hit the roof

.Step-by-step explanation:

h= -9.8t² + 45t + 1

Astrodome has a maximum height of 63.4 m

find out if the baseball hit at a velocity of 45 m/s will hit the roof, we'll replace h with 63.4m.

Thus;

63.4 = -9.8t² + 45t + 1

Subtract 63.4 from both sides to give;

-9.8t² + 45t + 1 - 63.4 = 0

-9.8t² + 45t - 62.4 = 0

Using quadratic formula, we have;

t = -45 ± √{(45² - (4 * (-9.8) * (-62.4)}

t = -45 ± √(2025 - 2446.08)

t = -45 ± √(-421.08)

The discriminant is -421.08

This value is less than 0.

Thus, no real solution exists and the baseball will not hit the roof.

8 0

3 years ago

Ellie’s bird feeder is shaped like a cone with a height of 25 in. and a radius of 3 in. Packages of bird seed are cylindrical an

Olegator [25]

3 in is the answer how old are you this is easy

6 0

3 years ago