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2 years ago

11

The ratio of the measures of AC to CB is 1:4. Into how many equal sections can you divide AB to find where a given point would b

e located?

1 answer:

Finger [1]2 years ago

7 0

Answer:

5

Step-by-step explanation:

you can divide CB into 4 parts + 1 part of AC

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Question 8: A bicycle shop sold 8 tires for $298.75. What was the cost of 1 tire to the nearest hundredth?

kherson [118]

Answer:

Unitary cost= $37.34 = $37

Step-by-step explanation:

Giving the following information:

Number of tires= 8

Total cost= $298.75

<u>To calculate the unitary value of each tire, we need to use the following formula:</u>

Unitary cost= total cost / number of tires

Unitary cost= 298.75 / 8

Unitary cost= $37.34 = $37

6 0

2 years ago

<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

2 years ago

You don’t have to do the graph if u don’t want to

Anuta_ua [19.1K]

Answer:

x>5

Step-by-step explanation:

30 < 6x

Divide both sides by 6,

5 < x => x>5

6 0

2 years ago

There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that

OleMash [197]

Answer:

The correct option is A. 14%

Step-by-step explanation:

There is a 70% chance of rain tomorrow

⇒ The probability that it will rain tomorrow = 0.7

There is a 20% chance that the volleyball game will be postponed

⇒ The probability that the volleyball game will be postponed = 0.2

Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%

Thus, the correct option is A. 14%

6 0

3 years ago

What is 9 times 5 /8? as a mixed number? somebody please help me find the answer!

mr Goodwill [35]

Answer:

5 5/8

Step-by-step explanation:

9 = 9/1

so 9 x 5/8 = 9/1 x 5/8

you could quickly make it 45/8 or make it 9x5/1x8

45/8 is improper so you have to see which multiple of 8 is the highest without exceeding the numerator

40 is the closest and it is 8x5 so 5 will be the integer.

there are 5 leftover so 5 is also the numerator

and the denominator stays 8 as there is no further simplifying

so, the answer is 5 5/8

4 0

2 years ago

Read 2 more answers