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3 years ago

Which of the following statements is true?

1 answer:

3 0

The first one is correct.
There is a VERY simple way you can do this
Here is how.
It's called the "Butterfly Method" (IDK if anyone calls it that, but I do!)
So basically, you look at the numerator for one of your numbers, and the denominator of the other number, and you multiply them! So...
1/7, you would take the seven...
1/4, and multiply it by the one...
so 7×1
and you get seven!
Then you do...
1/7, take the one...
1/4, take the four...
so 1×4
and you get four!
Whichever one is bigger (or smaller, but only if you are trying to find out which fraction is smaller...) is your answer!
Hope this helped!!!!!!!!!!!!!!

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State of the given functions are inverses

bonufazy [111]

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

$f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}$

$f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}$

$f[g(x)]=\frac{7}{2}-\frac{3}{4}x$

As f[g(x)] is not equal to x, these functions are not inverses.

Let's find f[g(x)] and simplify.

$f[g(n)]=\frac{-16+(4n+16)}{4}$

$f[g(n)]=\frac{-16+4n+16}{4}$

$f[g(n)]=\frac{4n}{4}$

$f[g(n)]=n$

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

$g[f(x)]=4(\frac{-16+n}{4})+16$

$g[f(x)]=-16+n+16$

$g[f(x)]=n$

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!

3 0

2 years ago

Maria makes $2,500 per month. What is the maximum amount of rent she can afford?

Gnom [1K]

Answer:

800

Step-by-step explanation:

5 0

2 years ago

I need a quick answer , someone please help

devlian [24]

Measurement a is 45
measurement b is 135

4 0

2 years ago

The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $

garri49 [273]

Complete question :

The average amount that a college student spends on a textbook is $205 with a

standard deviation of $35. What is the probability that a student spends:

A. between $10 and $310?

Answer:

0.999

Step-by-step explanation:

Mean, m = 205 ; Standard deviation, s = 35

Z = (x - m) / s

x = 310

Z = (310 - 205) / 35 = 3

P(z < 3) = 0.99865

x = 10

Z = (10 - 205) / 35 = - 5.57

P(Z < - 5.5)

P(z < 3) - P(z < - 5.5)

0.99865 - 0

= 0.999

5 0

2 years ago

Fractions are hard... Or I'm just to lazy to try and do them.

notka56 [123]

Answer: C) 3/2

Explanation: In math, the reciprocal is the inverse of a number or value. Simply, the number when flipped. Knowing this, one can flip the fraction to find the reciprocal, in this case turning 2/3 into 3/2.

Hope this helps :)

5 0

2 years ago