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3 years ago

Please help i give extra pts

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Answer:

3:1 2:3 1:4 4:2

Step-by-step explanation:

I had the same one on my quiz

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What is the inverse of this function?

kolbaska11 [484]

Answer:

$f^{-1}(x)=4x^2-3$

Step-by-step explanation:

The Inverse of a Function

Given a function f(x), the inverse of f, called $f^{-1}(x)$ is a function that satisfies:

$f(f^{-1}(x))=x$

The domain of f becomes the range of its inverse and vice-versa.

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

* Solve the equation for x.

* Swap the variables

We are given the function:

$\displaystyle f(x)=-\frac{1}{2}\sqrt{x+3}$

Defined in the interval x ≥ -3

Note f is always negative, thus its range is f(x) ≤ 0

Now we find the inverse. Call y=f(x):

$\displaystyle y=-\frac{1}{2}\sqrt{x+3}$

Multiplying by 2:

$\displaystyle 2y=-\sqrt{x+3}$

Squaring both sides:

$\displaystyle 4y^2=x+3$

Subtracting 3:

$\displaystyle 4y^2-3=x$

Swapping variables:

$y=4x^2-3$

Thus:

$\mathbf{f^{-1}(x)=4x^2-3}$

The domain of the inverse is the range of f, thus x is restricted to

x ≤ 0

5 0

3 years ago

How many cubes with side lengths of 1/2 cm does it take to fill the prism? _______cubes

Dvinal [7]

Answer:

Number of cube fit in prism = 24 cubes

Step-by-step explanation:

Given:

Side of cuboid = 1cm , 2cm , 2 1/2

Find:

Number of cube fit in prism

Computation:

Number of cube fit in prism = Volume of prism / Volume of cube

Number of cube fit in prism = (1)(2)(3/2) / (1/2)³

Number of cube fit in prism = 24 cubes

6 0

3 years ago

Read 2 more answers

In the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is

jenyasd209 [6]

Answer:

$\frac{8}{20}$

Step-by-step explanation:

We have been given that in the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is 2/5 yellow, Shawn's scarf is 3/5 , and Amanda's scarf is 3/4 yellow.

To make Amanda's argument true, let us compare each fraction by making a common denominator.

We can see that least common denominator of each fraction would be 20.

$\text{Dena's scarf}=\frac{2}{5}\Rightarrow\frac{2*4}{5*4}=\frac{8}{20}$

$\text{Shawn's scarf}=\frac{3}{5}\Rightarrow\frac{3*4}{5*4}=\frac{12}{20}$

$\text{Amanda's scarf}=\frac{3}{4}\Rightarrow\frac{3*5}{4*5}=\frac{15}{20}$

Since $\frac{8}{20}$ , therefore, Amanda's scarf has the most yellow.

8 0

3 years ago

Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (f − g)(0) (f − g)(0) =

adelina 88 [10]

Hello,

(f-g)(0)=f(0)-g(0)=3-(-2)=5

8 0

3 years ago

-9 + (-2)² help!! see im trying to get math done so i need help

patriot [66]

$-9+(-2)^2= -9+4 \to\boxed{-5}$

6 0

3 years ago

Read 2 more answers