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Aleonysh [2.5K]

3 years ago

5

Why is it valid to say that both a function and its inverse describe the same relationship

1 answer:

liberstina [14]3 years ago

4 0

A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse.

Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse.

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x.

So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y

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If a material contains three elements joined in a fixed proportion, it is a(an)

Andrei [34K]

The answer is d. if they are chemically joined as a mixture is multiple element but they aren't chemically joined. And an atom is what the element is made of and a solution is not anything to do with joined elements

7 0

3 years ago

The midpoint of \overline{\text{AB}}

Schach [20]

Answer:

<em>The coordinates of b are: B=(-7,-8)</em>

Step-by-step explanation:

We are given the coordinates of the midpoint of $\overline{\text{AB}}$ as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

$\displaystyle x_m=\frac{x_a+x_b}{2}$

$\displaystyle y_m=\frac{y_a+y_b}{2}$

We know xa=-3 and xm=-5. Solve the first equation for xb:

$2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a$

Substituting:

$x_b=2\cdot (-5)-(-3)=-10+3$

$x_b=-7$

We can solve the second equation for xb and get:

$y_b=2y_m-y_a$

Since ya=4 and ym=-2, then:

$y_b=2\cdot (-2)-(4)=-4-4$

$y_b=-8$

Thus, the coordinates of b are: B=(-7,-8)

4 0

3 years ago

Help, please. I just need an answer, so if anyone is bored, for the love of god please...

Alla [95]

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

$3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}$

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

<em>For reference, the point-slope form is </em> $y-y_1=m(x-x_1)$

$y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1$

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

$-\frac{3}{4}x+y=1$

If we multiply the whole equation by -4, we can get rid of the fraction.

$-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4$

Hence, option B is also correct.

7 0

1 year ago

What is the relationship between gross pay and net pay? A. Gross pay is less than net pay B. Gross pay is more than net pay C. G

k0ka [10]

Answer:b

Step-by-step explanation:

7 0

3 years ago

Mo puts $1,600.00 into savings bonds that pay a simple interest rate of 3.5%. How much money will the bonds be worth at the end

BabaBlast [244]

18.5 I think so if not then sorry

5 0

3 years ago