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Volgvan
3 years ago
6

Solve 4/x-4=x/x-4-4/3 for x and determined if the solution is extraneous or not.

Mathematics
2 answers:
Vlad [161]3 years ago
5 0

Answer:

c

Step-by-step explanation:

Ket [755]3 years ago
4 0

\frac{4}{x-4} = \frac{x}{x-4}- \frac{4}{3}
\frac{4}{x-4}- \frac{x}{x-4} =- \frac{4}{3}
\frac{4-x}{x-4}=- \frac{4}{3}
3(4-x)=-4(x-4)
12-3x=-4x+16
4x-3x=16-12
x=4

The solution is extraneous one because although it is a result of solving algebraically, it is not a valid solution. If we substitute x = 4 back into the equation, we will have two fractions with denominator of zero

\frac{4}{4-4}= \frac{x}{4-4}- \frac{4}{3}
\frac{4}{0}= \frac{x}{0}- \frac{4}{3}

A fraction with zero denominators is undefined, hence the solution is not valid.

Correct answer: A
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Find the equation of the linear function represented by the table below in slope-intercept form.
Anit [1.1K]

Answer:

es x positivo por qué y es negativo

Step-by-step explanation:

me entendiste

3 0
3 years ago
Read 2 more answers
What does n equal in this equation? n-2=(10n+4)/2 (btw 10n+4 over 2)
tia_tia [17]
N-2=(10n+4)/2
Multiply each side by 2
2(n-2)=10n+4
Expand the brackets
2n-4=10n+4
Subtract 4 from each side
2n-8=10n
Subtract 2n from each side
-8=8n
Divide each side by 8 
-1=n

Hope this helped
6 0
3 years ago
If f(x) = x 2 + 1 and g(x) = 3x + 1, find 2f(1) + 3g(4). <br><br> 1. 45<br> 2. 43<br> 3. 42
nordsb [41]
<span>f(x) = x^2 + 1
f(1) = 1</span>^2 + 1 = 2
so 2f(1) = 2(2) = 4

<span>g(x) = 3x + 1
f(4) = 3(4) + 1 = 13
</span>3g(4) = 3(13) = 39

<span> 2f(1) + 3g(4) = 4 + 39 = 43
</span>
answer
<span>2. 43</span>
8 0
4 years ago
You plant a tree that is 36 36 inches tall. After one year, the tree is 43 43 inches tall. Which expression describes the percen
Darya [45]

Answer: 36 - 100%

43 - x  %

Step-by-step explanation 36 - 100%

43 - x  %

we multiply by cross ->  36 * x = 100 / 43  

we should remove '100%' from new value, because we find only increase.. no new value in percent.

x + 100 = (43 * 100)/36  

x =  4300/36 - 100

x = 119+ 16/36 -100

x = 19 +4/9

6 0
3 years ago
(b) The globe has a radius of 28.5 cm. Find the surface area of the globe. Round your answer to two decimal places. Use:
damaskus [11]

Answer:

\boxed {\boxed {\sf  10,207.03 \ cm^2}}

Step-by-step explanation:

Surface area is the total area of the surface of an object. A globe is a sphere and the formula for calculating a sphere's surface area is:

SA= 4 \pi r^2

The radius (r) of the globe is 28.5 centimeters. Substitute this value into the formula.

  • r= 28.5 cm

SA= 4 \pi ( 28.5 \ cm)^2

Solve the exponent. Multiply the number by itself.

  • (28.5 cm)²= 28.5 cm * 28.5 cm = 812.25 cm²

SA= 4 \pi (812.25 \ cm^2)

Multiply 4, pi and 812.25 centimeters together.

SA= 12.56637061  (812.25 \ cm^2)

SA= 10207.03453 \ cm^2

Round to two decimal place or the hundredth place. The 4 in the thousandth place to the right (10207.03453) tells us to leave the 3 in the hundredth place (10207.0<u>3</u>453).

SA \approx 10207.03 \ cm^2

The surface area of the globe is approximately <u>10,207.03 centimeters squared.</u>

3 0
3 years ago
Read 2 more answers
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