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sleet_krkn [62]
3 years ago
11

Anyone good with algebra 2??

Mathematics
1 answer:
sweet [91]3 years ago
6 0
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.

Let's look at your function.

f(x) = \dfrac{x^2 - 16}{6x - 24}

x^2 - 16  is in the numerator. It is defined for every value of x. There is no problem there.

6x - 24  is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.

We set it equal to zero and solve the equation for x.

6x - 24 = 0

6x = 24

x = 4

For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).

The answer is:

x \ne 4

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WILL GIVE BRAINLIEST! NEED ANSWER FAST!
yuradex [85]

Answer:

x= 251

Step-by-step explanation:

300x= 190x + 27,610

300x-190x= 27,610

110x= 27610

x= 27610/110

x= 251

3 0
3 years ago
For what is the value of the rational expression below? X+20/x+4
Rus_ich [418]

Answer:

(4 + 20) / (4 + 4)  

= 24 / 8  

= 3

5 0
3 years ago
A recipe calls for 3/4 of a cup of flour to make 5/8 of a pound of bread
schepotkina [342]

Answer:

\huge\boxed{\sf 1 \ pound \ of \ dough = 1\frac{1}{5}  \ cup \ of \ flour}

Step-by-step explanation:

\displaystyle \underline{Given \ that:}\\\\\frac{5}{8} \ pound \ of \ dough = \frac{3}{4} \ cup\ of \ flour\\\\Multiply \ 8 \ to \ both \ sides\\\\5 \ pounds \ of \ dough = \frac{3}{4} \times 8 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 3 \times 2 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 6 \ cups \ of \ flour\\\\Divide \ both \ sides \ by \ 5\\\\1 \ pound \ of \ dough = \frac{6}{5}  \ cup \ of \ flour\\\\\boxed{1 \ pound \ of \ dough = 1\frac{1}{5}  \ cup \ of \ flour}\\\\

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
8 0
2 years ago
If a certain brand of icecream is 99% fat free, how many cups would you have to eat to ingest the same amount of fat that would
sdas [7]

Answer:

<em>10,000 cups </em>

Step-by-step explanation:

Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2

Let's suppose a cup of regular ice cream would have 100 parts of fat.

The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.

If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it

These numbers won't change if we used another number instead of 100 in the example shown.

6 0
3 years ago
9.99x10 ^-2 + 1.11 × 10^-2 i dont have the same scientific calculator as the one from school. Would like to verify my math is co
Rufina [12.5K]
The answer should not depend on which machine or which pencil you use to
find it.  If you work a problem two different ways and get two different answers,
then at least one of them is wrong, and there's a pretty good chance that both
of them are.

(9.99 of anything) + (1.11 of the same thing) = 11.1 of them

9.99 (x 10^-2) + 1.11 (x 10^-2) = <em>11.1 (x 10^-2)</em> .

Can we do any more with that ?

10^-2  =  1 / 10^2  =  1 / 100 .

11.1 x 10^-2  =  11.1 / 100  =  <em>0.111</em>
3 0
3 years ago
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