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2 years ago

One number exceeds another by 1. the sum of the numbers is 21. what are the numbers

1 answer:

3 0

Try this solution:
1. if 1st number is 'x', the 2d number is 'y', then it is possible to make up the system of two equation according to the condition:
$\left \{ {{x-y=1} \atop {x+y=21}} \right. \ =\ \textgreater \ \ \left \{ {{x=11} \atop {y=10}} \right.$
2. one number is 11, another number is 10.

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1. determine if the functions are inverse functions

kirill115 [55]

Answer:

<u>Question 1</u>

The function $f(x) = x + 6$ is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so $f^{-1}(x)=x-6$

Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function $f(x) = -3x -9$ is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

$\implies y = -3x -9$

Rearrange the equation to make x the subject:

$\implies y+9= -3x$

$\implies x=-\dfrac13(y+9)$

$\implies x=-\dfrac13y-3$

Replace x with $f^{-1}(x)$ and y with x:

$\implies f^{-1}(x)=-\dfrac13x-3$

Therefore, g(x) is the inverse of f(x).

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1 year ago

Show all steps!!!

Lunna [17]

$-\frac{1}{3}\left|1\cdot \left(\frac{1}{2}\right)^2\right|-\frac{2}{3}-2^3-\frac{2}{3}\left|-\frac{1}{2}\right|^3$
$\frac{1}{3}\left|1\cdot \left(\frac{1}{2}\right)^2\right|=\frac{1}{12}$
$\frac{2}{3}\left|-\frac{1}{2}\right|^3=\frac{1}{12}$
$=-\frac{1}{12}-\frac{2}{3}-2^3-\frac{1}{12}$
$=-\frac{53}{6}$

4 0

2 years ago

Two paper drink cups are shaped like cones. The small cone can hold 6 oz of water. The large cone is 4/3 the height and 4/3 the

Ivahew [28]

B is the answer 14 is

6 0

2 years ago

Read 2 more answers

Identify the sum of the interior angle measures of a convex octagon. HELP PLEASE ASAP!!

skad [1K]

Answer:

Because the sum of these angles will always be 360°, then each exterior angle would be 60° (360° ÷ 6 = 60°). If each exterior angle is 60°, then each interior angle is 120° (180° − 60° = 120°).

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2 years ago

What is the value of <img src="https://tex.z-dn.net/?f=%280.3%29%5E%7B4%7D" id="TexFormula1" title="(0.3)^{4}" alt="(0.3)^{4}" a

meriva

Answer:

Step-by-step explanation:

(0.3)^4(3/10)^4 = 3^4 /10^4 = 81/10000 = 0.00081

4 0

2 years ago