Help with these 2 please !!

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The

Lelu [443]

The quadratic model is f(x) = -5x^2 + 200.
f(x) = 50 meters
x = time in seconds

50 = -5x^2 + 200
5x^2 = 150 // Here, divide both side by 5
x^2 = 30
x = $\sqrt{30}$ seconds
Or approximately 5.48 seconds

9 0

4 years ago

Read 2 more answers

Appoximate square root 62 to the nearest whole number

Aliun [14]

The approx. square root of 62 is 8 because 8^2 is 64

3 0

3 years ago

Read 2 more answers

Solve each equation using inverse operations.

Arlecino [84]

1. 3x=18; you divide each side by 3 because you want to get the x by itself. When you do that, you get x=6.
2. Y+4=11; you subtract each side by 4 because you want to get the y by itself so you do the opposite of that is in front of the +4 (-4). When you do that, you get y=7.
3. W/5=6; you multiply each side by 5 because to get rid of the 5, you multiply(or do the opposite(inverse)) to get the w by itself. That would leave you with w=30.
4. 135=p+21; you subtract each side by 21 to get 114=p.
5. 2m-3=13; the easiest thing to do is to add 3 to both sides to get 2m=16. After that divide both sides by 2 to get m=8.
6. 3/4+a=2 1/4; if it's easier, turn the fractions into a decimal. Subtract both sides by 3/4 to get 1 1/2. a=1 1/2

8 0

3 years ago

-4(x+5)-2x+3 simplified

Bingel [31]

Answer:

-4x -20 -2x +3

-6x -17

5 0

3 years ago

Select the correct answer.<br><br> Which function has an inverse function?

aleksley [76]

<h2>Answer:</h2>

The function that has an inverse function is:

D. $f(x)=\dfrac{x+3}{7}$

<h2>Step-by-step explanation:</h2>

We know that <em>" A</em> <em>inverse of a function f(x) exist if it is both 1-1 and onto "</em>

A)

$f(x)=|x-4|+1$

We know that the modulus function is not 1-1.

Since, there are two different 'x' such that the function have the same value.

Take x=1

and take x= 7

In both the cases we have: f(x)=4

Hence, the function does not has a inverse.

B)

$f(x)=25x^2+70x+49$

We know that a polynomial with even degree is not 1-1.

As it is symmetric about a line x=a

Hence, option: B is incorrect.

C)

$f(x)=x^4$

Again it is a polynomial of even degree.

Hence, it does not has a inverse.

D)

$f(x)=\dfrac{x+3}{7}$

As the function is both 1-1 and onto.

Hence, the function has a inverse and the inverse function is calculated as:

$f(x)=y\\\\i.e.\\\\\dfrac{x+3}{7}=y\\\\i.e.\\\\x+3=7y\\\\i.e.\\\\x=7y-3$

Hence, the inverse function is:

$f(y)=7y-3$

The answer is:

Option: D

3 0

3 years ago