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Orlov [11]
3 years ago
10

The larger of two numbers is four more than the smaller. if the larger is x what is the smaller?

Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

x-4

Step-by-step explanation:

Since the larger of two numbers is four more than the smaller one, this means that there is a difference of 4 between the two numbers. In order to find the smaller of both numbers, you can obtain the smaller from the largest by subtracting 4.

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Tatiana [17]
Answers:  A , B , and D are correct.
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         The following statements are true and correct:
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 [A]:  y is a function of x .
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 [B]:  The graph of the relationship is a line.
____________________________________________________
 [D]:  When the input is -2, the output is 3.
____________________________________________________

Note:
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Choice: [C]: "When the input is -3, the output is 4 ." → is INCORRECT.

Note:  When the input is -3, the output is "4 <span>⅓";
            that is, when x = -3,  y = 4 </span>⅓ .  
_____________________________________________________
Choice: [E]:  "The y-intercept of the relationship is: (0,1)."  → is incorrect.

Note:  The y-intercept refers to the value of "y" where the line crosses the "x" axis.  From the equation; and form the graph, we see that the y-intercept is:  "⅓" ;  or,  "(0, ⅓)" .
<span>________________________________________________________
</span>Here is the graph of the equation: 
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 y = - \frac{4}{3} x    +    \frac{1}{3} ;
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5 0
3 years ago
A certain quantity decays exponentially over time. The initial quantity at t = 0 is 1,000. The quantity decays at a rate of 2%.
PtichkaEL [24]
A=1000(1-0.02)^4
A==922.37
6 0
4 years ago
Read 2 more answers
The function h(t)=-4.92t^2+14.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in
Scilla [17]
Given that equation modelling the height of the building is given by:
<span>h(t)=-4.92t^2+14.69t+575
plotting the equation (see the plot below)
The domain in all real numbers.

</span>Range: (h∈R: 196800h≤115317961)

3 0
4 years ago
Read 2 more answers
Please find the derivative of <img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Be%5E%7B%5Cfrac%7B3%7D%7Bx%7D%7D%7D%7
sesenic [268]

Hello! :)

\large\boxed{\frac{-e^{\frac{3}{x}}  (3 + 2x )}{x^{4}}}

Find the derivative using the quotient rule:

\frac{f(x)}{g(x)} = \frac{g(x) * f'(x) - f(x) * g'(x)}{(g(x))^{2}}

In this instance:

f(x) = e^{\frac{3}{x} }\\\\g(x) = x^{2}

Use the following properties to find the derivative of f(x) and g(x):

e^{u} = u' * e^{u}\\\\x^{n} = nx^{n-1}

Use the quotient rule:

\frac{x^{2} * (e^{\frac{3}{x}} * (-3x^{-2})) - e^{\frac{3}{x}} * 2x  }{(x^{2} )^{2}}

Simplify the numerator:

\frac{(e^{\frac{3}{x}} * (-3)) - e^{\frac{3}{x}} * 2x  }{(x^{2} )^{2}}

Factor out e^{\frac{3}{x}}

\frac{e^{\frac{3}{x}}  (-3 - 2x )}{x^{4}}

Factor out -1 from the numerator:

\frac{-e^{\frac{3}{x}}  (3 + 2x )}{x^{4}}

And we're done! Thanks for posting the question to my 1000th answer!

7 0
3 years ago
Read 2 more answers
Can anyone help me please??
allochka39001 [22]

Answer:

-20x / (x-12) = y

Step-by-step explanation:

3/x  - 5/y  = 1/4

Multiply each side by 4xy to clear the fractions

4xy ( 3/x  - 5/y  = 1/4)

Distribute

12y - 20x = xy

Subtract 12y from each side

-20x = xy -12y

Factor out y

-20x = y(x-12)

Divide each side by (x-12)

-20x / (x-12) = y

4 0
4 years ago
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