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1. _____ of the graph of a rational function are the points of intersection of its graph and an axis.

2. _____ of a function are the values of x which make the function zero. The numbered zeroes are also ______ of the graph of the function.

3. ______of the graph of a rational function r(x) , if it exists, occurs at the zeros of the denominators. To find _____ equate the function to ____.

4. _____ of the graph of a rational function r(x) if it exists, occurs at r(0), provided that r(x) is defined at x = 0. To find ________ simply evaluate the function at x = ______.

5. An_______is an imaginary line to which a graph gets closer and closer as the x or y increases or decreases its value without limit.

6. To find ________ of a rational function, first reduce the given function to simplest form then find the zeroes of the denominator that are not zeros of the numerator.

7. To determine the_______ of a rational function, compare the degree of the numerator n and the degree of the denominator d.

Answer:

1/5

Step-by-step explanation:

To find the slope between two points, we use the formula

m = ( y2-y1)/(x2-x1)

    = ( 6-4)/(4 - -6)

    = ( 6-4)/(4+6)

    = 2/10

     = 1/5

Answer:

1) a. 5

2) d. 8 child tickets

Step-by-step explanation:

1) added 90 minutes until 530

2) 118-19=99 99÷12=8.25

Answer:

$975.13

Step-by-step explanation:

Answer:

angle y = 63

x= 49 ( v.o.a)

Step-by-step explanation:

Answer:

x=49

y=63

Step-by-step explanation:

X is 49 because it's opposite the other angle that's 49

y is 63 because along with that other angle that's 63 it's alternate to that other angle. Alternate angles are equal btw.

Have a good time and feel free to ask me again.

Step-by-step explanation:

Here is Slope-Intercept Form for a line: y=mx+b

m is the slope

b is the y intercept

The y intercept is basically the point on the y axis where the line touches.

I will do #3 for you.

Let's first look for the y intercept. We can see that the line touches the y axis at -4, so that's it.

Let's put it into our equation, plugging in -4 for b. This is what we have so far: y=mx-4

To complete this equation, we still need to find the slope, m.

To find it, look at the point where the y intercept is, and count how many units you need to go up or down the y axis, and then right or left the x axis to get to another point on the line. The slope is equal to the change in y ÷ the change in x.

So we see that there's another point on (-3, -2), so let's try to get there from the y intercept.

We need to move two units up and 3 to the left.

In terms of y, we went up +2, and in terms of x, we went down -3

So our slope is 2/-3 or -2/3.

Now that we have our slope (m) and y intercept (b), we can plug it into out Slope-Intercept Equation, plugging in -2/3 for m:

y=-2/3x-4.

We don't need to find x or y. This is our answer for 3. Using the same method, you should be able to find the equations for the rest of the graphs. Good luck.

Answer:

The answer is 70

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\sf 70}[/tex]

Step-by-step explanation:

a. Substitute d = 500 in the formula

[tex]\displaystyle s=\sqrt{9.8 \times 500} =70[/tex]

b. As the depth decreases, the speed of the tsunami decreases because both quantities are directly proportional.

Answer:

Thank you ☺️☺️

Answer:

[tex]y-0=-7(x-4)[/tex]

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

[tex]y-k=m(x-h)[/tex]

Where m is the slope and (h,k) is a point through which the line passes.

The line passes through the point (4,0) and has a slope of -7. The equation of the line is:

[tex]y-0=-7(x-4)[/tex]

This is the point-slope form of the line.

Answer:

$1605

Step-by-step explanation:

1500 ⋅ 0.07 = 105

Add 105 to 1500

$1605

Hope I helped :)

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18m−13m=25

5m=25

m=25/5

m=5

Answer:

m = 5

Step-by-step explanation:

18m - 13m = 25

Step 1 :- Combine like terms.

5m = 25

Step 2 :- Divide both sides by 5.

[tex] \sf \frac{5m}{5}[/tex] = [tex] \sf \frac{25}{5}[/tex]

m = 5.

Answer:

i'm pretty sure its 36

Step-by-step explanation:

Answer:

the awnser is c

Step-by-step explanation:

first you take 41.20$ and you subtract you're 5%

therefore that gives you 39.14$

subtract 39.14$ from 41.20

and you get a left over of 2.06$

therefore c is you're awnser

A percentage is a number or ratio expressed as a fraction of 100.

The amount spent on shipping and handling charges is $2.06.

A percentage is a number or ratio expressed as a fraction of 100.

Example:

50% = 50 / 100 = 1/2

20% = 20 / 100 = 1/5

25% = 25 / 100 = 1 / 4

10% = 10 / 100 = 1 / 10

We have,

Total spending on books = $41.20

Shipping and handling charges = 5% of $41.20

The amount spent on shipping and handling charges:

= 5% of $41.20

= 5/100 x 41.20

= 5/100 x 4120/100

= 5 x 4120 / 10000

= 20600 / 10000

= $2.06

Thus the amount spent on shipping and handling charge is $2.06.

Learn more about percentages here:

https://brainly.com/question/11403063

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Answer:

x=-4, y=0, z=-2

Step-by-step explanation:

Answer:

1 mile: 4 minutes

Step-by-step explanation:

This problem can be expressed with a simple ratio: 2:8

Now, thankfully the numbers are even so we just need to simplify the ratio to get our answer. Ratios work like fractions in that manner. So we just need to divide both sides by 2 to get the _:4 result.

This gives us a ratio of 1:4. Therefore, Lin travelled 1 mile in 4 minutes.

Answer:

D. 9

Step-by-step explanation:

9 is odd, however it is a composite number. That is the opposite of what the conditional is saying.

x + 11 ft

Step-by-step explanation:

x² + 22x + 121 ft² = area of square

x² + 11x + 11x + 121 ft² = side²

x(x + 11) + 11(x + 11) ft² = side²

(x + 11)(x + 11) ft² = side²

(x + 11)² ft² = side²

x + 11 ft = side²

Let the smaller piece be x .

Then the larger angle will be = 3x

An equation to find the length of each of the two pieces :-

[tex]x + 3x = 112[/tex]

[tex]4x = 112[/tex]

[tex]x = \frac{112}{4} [/tex]

[tex]x = 28[/tex]

Which means :-

Length of the shorter piece = 28 inches

Length of the larger piece = 28 × 3 = 84 inches

Therefore , the length of the shorter piece = 28 inches .

Answer:

3x(2+n)+[7+n]

Step-by-step explanation:

The answer is kind of self-explanatory, but think of it this way.  If n=5, then the equation would be 3x(2+5)+[7+5]. First we would solve 2+5 which is 7. Then we would do 7+5 which is 12. We are now left with 3x7+5.

Answer:

x = ± 13

Step-by-step explanation:

Given

x² = 169 ( take the square root of both sides )

x = ± [tex]\sqrt{169}[/tex] = ± 13

Since 13 × 13 = 169 and - 13× - 13 = 169

Answer:

Her profit started to increase but looks like it is soon to plummet so probably not a good idea to invest

Step-by-step explanation:

The correct options are (b) f(x)=-3x⁵+5x-2

                                        (d) f(x)=x³-8x²

The function are written in standard form by writing the highest degree term at first and then writting other term according to decreasing order of degree of the variable.

for example f(x)=x⁴+x³+x²+x+1

So according to the question

the function should be written in standard form

so by checking every option,

(a) f(x)=8-x⁵ here highest power is 5 but that term is present at second term. so option A is incorrect.

(b) f(x)=-3x⁵+5x-2 here highest power is 5 and that term is present at first term. then all the terms are arranged in decrreasing order of power.

(c) f(x)=2x⁵+2x+x³ here highest power is 5 and that term is present at first term. then the second highest powered term is 3 and that term is present at third position which should be present at second position.

(d) f(x)=x³-8x² here here highest power is 3 and that term is present at first term. then all the terms are arranged in decrreasing order of power.

Therefore, The correct options are

(b) f(x)=-3x⁵+5x-2

(d) f(x)=x³-8x²

Learn more about the polynomial in standard form

here: https://brainly.com/question/194303

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Answer: The first answers are B. and D.

The second answer is 5

Step-by-step explanation: The third answer is -3

Answer:

64839 time is mistake for girls

Step-by-step explanation:

mark me BRAINLIEST

Answer:for school fundraiser ,you sold 33 raffle tickets and you friend sold 15 raffle tickets write the ratio of tickets you sold to tickets your friend sold as a fraction in simplest form

Answer:

a

Step-by-step explanation:

Answer:

The answer should be a I hope this helps

Answer:

-27

Step-by-step explanation:

Positive times negative is always a negative or use a calculator

Answer:

y= 9/4x+9

Step-by-step explanation:

you write the 9/4 as a fraction it looks a little confusing I don't have an actual fraction symbol so it's 9/4 then x plus 9 :)

Answer:

Step-by-step explanation:

you have to solve for x i think

Answer: SOLVE FOR X !

Step-by-step explanation:

Answer:

- 1 1/6

Step-by-step explanation: This is equal to 1/2 / -3/7. To divide, we take the reciprocal of the second number and multiply by the first. 1/2 * -7/3.

Answer:

-7/6

Step-by-step explanation:

1/2 / -3/7

(A little trick i learned with dividing fraction Keep Switch FLip)

Keep the 1/2

switch the sign to a x

and flip the second fraction -7/3

1/2 x -7/3

-7/6