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3 years ago

Two fractions have a common denominators of 8. What could the two fractions be?

2 answers:

4 0

The denominator is the bottom number so the answer can be any of 1/8 3/8 5/8 7/8

I made the numerator an odd number because an even number would reduce.

Anna71 [15]3 years ago

3 0

4 and 8 would be the anwser because 4 x 2 = 8 and then 8x1=8

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Consider the function f(x)= 2/5x-4

Gre4nikov [31]

Answer: a) $\frac{5}{2}x+10=f^{-1}(x)=g(x)$

Step-by-step explanation:

Since we have given that

$f(x)=\frac{2}{5}x-4$

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

$y=\frac{2}{5}x-4$

Switching x to y , we get

$x=\frac{2}{5}y-4$

$5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)$

b) . Use composition to show that f(x) and g(x) are inverses of each other.

$\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x$

Similarly,

$\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x$

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.

5 0

3 years ago

A membership at a yoga studio costs $35 per month. Write an equation for the cost of the membership, c, that you pay if you keep

Usimov [2.4K]

Since there is no base down payment or anything the equation i think would just be 35m = c
If there was say a one time payment of $20 and then the monthly payments it would look like 20+35m=C
I hope this helps :)

6 0

3 years ago

The boiling point of jet fuel is 329 degrees Fahrenheit. Rounded to the nearest degree, what is the temperature in degrees Celsi

djverab [1.8K]

Put the number in the formula and do the arithmetic.

C = (5/9)(329 - 32)

C = (5/9)(297)

C = 165

The temperature in °C is 165.

7 0

2 years ago

In elimination what is... <br> 3x+2y=-29<br>-<br>- 3x-57 = 25<br>

andrezito [222]

Answer:

(82/3, -111/2) or x=82/3, y=-111/2

Step-by-step explanation:

4 0

3 years ago

Find the value of the variable. Then find the angle measures of the polygon.

Anvisha [2.4K]

First set up the equation (sum of the angles is 180)

2x + 2(x-1) + (5x +2) = 180

distribute:
2x + 2x -2 + 5x +2 = 180

combine like terms:
9x = 180
solve for x:

x = 20

SO:

2x° = 2(20) = 40 degrees
2(x-1)° = 2(20) - 2 = 40 - 2 = 38 degrees
5x + 2°= 5(20) + 2 = 100 + 2=102 degrees

check: 40 + 38 + 102 = 180

7 0

3 years ago