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3 years ago

15

When 18 gallons of water are pumped into an empty tank, the tank is filled to three fourths of its capacity. How many gallons of

water will the tank hold?

2 answers:

ivann1987 [24]3 years ago

6 0

Answer:

24

Step-by-step explanation:

18 ÷ 3 = 6

6 × 4 = 24

andriy [413]3 years ago

4 0

3/4 Of X(Capacity) = 18 Gallons
X = 18*4/3
= 6*4
= 24 Gallons

Capacity of Tank = 24Gallons

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<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%

Llana [10]

a) The given function is

$f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}$

The domain refers to all values of x for which the function is defined.

The function is defined for

$x^4+x^3-4x^2-4\ne0$

This implies that;

$x\ne -2.69,x\ne 1.83$

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

$x^4+x^3-4x^2-4=0$

This implies that;

$x= -2.69,x=1.83$

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

$\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

$\Rightarrow x^2-4=0$

$x^2=4$

$x=\pm \sqrt{4}$

$x=\pm2$

The roots are $x=-2,x=2$

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

$x=0$ into the function

$f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}$

$f(0)=\frac{-4}{-4}=1$

e) to find the horizontal asypmtote, we take limit to infinity

$lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

The horizontal asymtote is $y=0$

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0

3 years ago

The Kendal Company manufactures automobile engine parts. Running the manufacturing operations requires 12 watts (units of electr

Monica [59]

24 because when you plug in 0 for both x and y:

0=12(0)+24

12*0=0, leaving you with 24.

4 0

3 years ago

Solve the equation 13-2x=-7

patriot [66]

Subtract 13 from both sides.

-13
-7 = -20

-2x = -20

Divide by 2 on both sides.
Remember: Negative divided by a negative makes a positive.

-2/-2 = 1
-20/-2 = 10

Your answer:
x = 10

8 0

3 years ago

Read 2 more answers

Presume we have this sack of marbles. There are 4 green marbles, 3 red marbles, 2 blue marbles, and 1 yellow marble.

aleksley [76]

Answer:

There is a 33.3% chance you will pull a red marble after pulling a blue one.

Step-by-step explanation:

There are a total of 10 marbles in the sack. A blue marble is removed from the bag without being replaced, leaving 9 in the sack. 3 of the marbles left are red. To find the probability of pulling a red marble, we divide the number of red marbles by the number of total marbles.

3/9 = 1/3 = 0.333 = 33.3%

7 0

2 years ago

Write YES or NO to tell whether the relation is also a function.

Drupady [299]

My answer it yes I think I not sure

6 0

3 years ago