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3 years ago

At which values of x does the function F(x) have a vertical asymptote? Check

Mathematics

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

x=0, x= - 3, x=9

Step-by-step explanation:

f(x)=7/2x(x+3)(x-9)

f(x) doesn't exist for x=0,-3,9

$\lim_{x \to \ 0,-3,9} f(x) = inf$

vertical asymptote:

x=0, x= - 3, x=9

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Taya2010 [7]

Answer:

A. y = 1.5m + 7

B. at 7 months the baby will weigh 17.5 pounds

C. Since the baby is born weighing 7 pounds, at 0 months he will weigh 7 pounds. This tells us that the y-intercept will be seven. And since the baby is gaining 1.5 pounds every month, this means that the slope will be 1.5 and m will be the x of our y = mx + b equation. For part B, we simply plug in 7 to m and solve by multiplying 1.5 and 7 to get 10.5, then adding 7 to get 17.5.

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3 years ago

Jerod is making candles from beeswax. He has 132.72 ounces of beeswax. If each candle uses 8.4 ounces of beeswax, how many whole

photoshop1234 [79]

Answer:

15 candles

Step-by-step explanation:

132.72÷8.4=15.8

therefore jerod can make 15 whole candles

hope this helps

7 0

3 years ago

Kelly purchased 5 containers of ice cream for a party. Each container holds 8 cups of ice cream. Before the party, her brother a

victus00 [196]

Given:

Kelly purchased 5 containers of ice cream for a party.

Each container holds 8 cups of ice cream.

Her brother ate 2 cups of ice cream.

One serving of ice cream = 2/3 of a cup.

To find:

Number of servings of ice cream will be left for the party?

Solution:

We have,

1 container = 8 cups of ice cream

5 containers = 5×8 = 40 cups of ice cream

Her brother ate 2 cups of ice cream. So, remaining cups of ice cream is

$40-2=38$ cups

Now,

$\dfrac{2}{3}$ of a cup = 1 serving

1 cup = $\dfrac{3}{2}$ serving

38 cup = $38\times \dfrac{3}{2}$ serving

= $19\times 3$ serving

= 57 serving

Therefore, 57 servings of ice cream will be left for the party.

4 0

3 years ago

What does x equal in this equation x−9.37+5.77=1.3x

avanturin [10]

Answer:

-12

Step-by-step explanation:

x-9.37+5.77=1.3x

8 0

3 years ago

8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: rational equation fraction solution algebra

7 0

3 years ago