To find the correct function, just plug in 10 and 2 to see if the function equals zero with both numbers.

f(x)=x^2-12x+20
f(10)=100-120+20
f(10)=0 --> that's what we want, so let's check the other number

f(x)=x^2-12x+20
f(2)=4-24+20
f(2)=0 --> perfect. this function has zeros at both x=10 and x=2

The function that has zeros at both x=10 and x=2 is f(x)=x^2-12x+20.

5 0

3 years ago

Read 2 more answers

Which of the following is the inverse of the given function? Y=3x^5-4

lawyer [7]

$y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

Step-by-step explanation:

Given function $y\textrm{ }=\textrm{ }3x^{5}\textrm{ }-\textrm{ }4$

To find an inverse for any given function, which is of the form $y=f(x)$ , always swap $x$ and $y$ in the equation and try to get the form $x=f(y)$ . Now, swapping back $x$ and $y$ , we get the inverse function.

On swapping $x$ and $y$ , we get $x\textrm{ }=\textrm{ }3y^{5}\textrm{ }-\textrm{ }4$

$y\textrm{ }+\textrm{ }4\textrm{ }=\textrm{ }3x^{5}$

$x^{5}\textrm{ }=\textrm{ }\frac{y\textrm{ }+\textrm{ }4}{3}$

$x\textrm{ }=\textrm{ }(\frac{y\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

Swapping back $x$ and $y$ , we get $y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

This is the inverse function.

3 0

3 years ago

Can someone please help me it’s urgent

Evgen [1.6K]

Answer:

8.5 in

Step-by-step explanation:

You are solving for the hypotenuse right? So you would use this formula:

c = square root a^2+b^2

the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!

x = square root 4^2 + 7.5^2

x = square root 16 + 56.25

x = square root 72.25

x = 8.5 inches

8 0

3 years ago