Polynomial long divisio
Divide.
(10x³-23x² +15x-2)+(5x+1)
Your answer should give the quotient and the remainder.
Quotient:
type 2
Remainder:
X
S

Answer:

slope: (11-1)/(-4+14)

m: 10/10

M: 1

11 = -4 + b

b = 15

y = x + 15

y = 0 is the horizontal asymptote for the given equation f(x)

To find : Horizontal Asymptote of function f(x)

Horizontal  Asymptote

A horizontal line that a function's graph appears to coincide with but does not actually do so is said to be its horizontal asymptote. The end behavior of the function is determined using the horizontal asymptote.

Given that,

A function is provided as

f(x) = 3/5x

x serving as the denominator

By setting the denominator equal to 0, we can easily determine the vertical asymptote i.e,

Make x=0,

Specifically, the vertical asymptote is at y=0 or x=0

Identifying the horizontal asymptote

Write x in terms of y, then look for any instances where y differs.

We are able to write the given function

x=3/5

Here, y=0 renders x undefinable.

Thus y=0 is the horizontal asymptote.

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Answer:

B

Step-by-step explanation:

Got it right.

Answer:the answer is 3:2

Step-by-step explanation:

it is ratio of flour to sugar so the answer is 3:2

Answer:

Step-by-step explanation:

A recipe calls for 3 ounces of flour for every 2 ounces of sugar.Find the constant of proportionality

we have a ratio of 3 : 2

the constant of proportionality is:

3 : 2 = 1.5

Answer:

(1,8.5)

Step-by-step explanation:

x=(-1+3)÷2

=1

y=(9+8)÷2

=8.6

(1 , 8.5)

The percentage of students that graduated from college that also attended a high school is given as 0.7792 or 77.92 percent.

We have the Prob(attended public school | graduated)

The probability that a person attended public school and graduated as

Prob (P and G) = 0.80 x 0.75

= 0.6

The probability that a person graduated is given as

0.8*0.75 + (1 - 0.8 * 0.85)

= 0.6 + 0.17

= 0.77

Prob(P and G ) /Prob(G)

= 0.6 / 0.77

= 0.7792

The percentage is given as 77.92%

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According to the given graph, the type of sample is continuous.

Sampling:

Basically, sampling refers the a statistical methodology that uses a portion of a total population to represent the full population.

Given,

Here we have the graph and that represents the data collection.

Now, we need to find the type sample used.

In order to find the type of sample used in the given data, we have to carefully looking into the point representation of the graph.

While we looking into the graph, we have identified that the point one the graph continuous and it will gradually moving upwards.

Therefore, the type of sample use here is continuous.

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The  slope-intercept form  is  y = -1/3x +7 .

What is an explanation of the slope-intercept form?

The standard form equation can be found by using the given point values in the given equation to find the new constant.

 x +3y = (6) +3(5) = 21

Solving for y puts this equation into slope-intercept form.

 3y = -x +21 . . . . . . . subtract x

 y = -1/3x +7 . . . . . . divide by 3.

This is slope-intercept form.

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Answer:

The question is possibly mistyped.  The response below explains why, but also answers the questions based on a imagined relationship, instead of the one given.

Step-by-step explanation:

The equation 30 + 1.25x = 15 + 25X cannot be interpreted in the manner the questions are written.  It is really only an expression, since there is no y in the equation, only x.  We can, however, solve for x:

30+1.25x = 15 + 25x

30 - 15 = 25x - 1.25x

15 = 13.75x

x = (15/13.75)

x = 1.0909

There is no other information to discern what x represents.  It could be light years to a particular comet, grams of a reagent, hours until the meat is cooked, or anything the imagination allows.

If, however, the equation were something like:

  y = 1.25x + 15

we could answer the questions, as follows;

A pet sitter charges a flat fee of $15

sitter charges a flat fee of $15 plus $1.25/hr

The rest of the questions are not coherent.

==========

"two pet sitters the same?

plus $1.25 per hour to keep a dog during the day. A second pet

per hour. After (select)

Is the charge for the"

x intercept is 9/4 and y intercept is -51/4 for equation 9x+4y=51.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given equation is nine times of x plus four y equal to fifty one

9x+4y=51

We have to convert this equation to slope intercept form

4y=51-9x

4y=9x-51

Divide both sides by 4

y=9/4x-51/4

x intercept is 9/4 and y intercept is -51/4

Hence x intercept is 9/4 and y intercept is -51/4 for equation 9x+4y=51.

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Answer:

-------------------------------

Simplify first:

We need both p and q be rational numbers and we know √19 is irrational.

It is only possible if both side are equal to zero:

Answer:

[tex]\textsf{(a)} \quad h=3, \quad k=-2[/tex]

[tex]\textsf{(b)} \quad p=0, \quad q=-\dfrac{1}{2}[/tex]

Step-by-step explanation:

Rearrange the given equation so that both sides are in the same form:

[tex]\begin{aligned}2-h\sqrt{11}&=-3\sqrt{11}-k\\2-h\sqrt{11}+k&=-3\sqrt{11}-k+k\\k+2-h\sqrt{11}&=-3\sqrt{11}\\k+2-h\sqrt{11}-2&=-3\sqrt{11}-2\\k-h\sqrt{11}&=-2-3\sqrt{11}\\\\\implies h&=3\\\implies k&=-2\end{aligned}[/tex]

Rewrite and factor the right side of the equation.

As p and q are rationals, both sides of the equation have to equal zero.

[tex]\begin{aligned}2p&=q\sqrt{76}+\sqrt{19}\\2p&=q\sqrt{4 \cdot 19}+\sqrt{19}\\2p&=q\sqrt{4} \sqrt{19}+\sqrt{19}\\2p&=2q\sqrt{19}+\sqrt{19}\\2p&=\sqrt{19}(2q+1)\\\\\implies 2p&=0 \implies p=0\\\implies 2q+1&=0 \implies q=-\dfrac{1}{2}\end{aligned}[/tex]

The relationship given in the table is linear, as the rate of change of the output relative to the input is of zero.

Linear relationships are relationships in which the rate of change of the output relative to the input is constant, and called slope.

The points from the table in this problem are listed as follows:

The rate of change is given by the change in the output divided by the change in the input. Since the output remains constant, the rate of change remains constant at zero, and thus, this is a linear relationship.

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The percentage of women that have heights between 64 and 66 inches is 42.06%

The third quartile is 65.1875 inches

Part a

Given: mean=63.5 inches

std. deviation=2.5 inches

To find percentage: we calculate probability and convert to percentage

P(64<X<66) would mean

Z statistic=64-63.5/2.5=0.2

                 =66-63.5/2.5=1

From Z table, we find corresponding probability values.

Therefore, P(64<X<66)=P(0.2<Z<1)=0.84134-0.42074

                                                                     =0.4206

Thus percentage=0.4206*100

                           =42.06%

Part b

Finding the third quartile, Q3

Q3=mean+(0.675)*std. dev

Q3=63.5+(0.675*2.5)

=65.1875 inches

Hence, the third quartile is 65.1875 inches  

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Answer: E and B

I did the quiz

A relation that has a range of {-5, 0, 4, 7} is:{(6, -5), (-2, 4), (4, 7), (1, 0)}

The correct answer is an option (E)

In this question, we have been given some relations.

We need to find a relation that has a range of {-5, 0, 4, 7}

We know that in a relation is a set of ordered pairs (x, y)

where x is input and y is output.

We know that range is collection of all output values.

Therefore, a  relation that has a range of {-5, 0, 4, 7} is:

E {(6, -5), (-2, 4), (4, 7), (1, 0)}

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Answer:

8√15

Step-by-step explanation:

4√6 × √10 = 4√(6 × 10) = 4√60 = 8√15

Equation can use to find the number of water balloons w in the bin before Kimberly trips is w-11=13.

Given that, Kimberly carries a bin of water balloons outside for the balloon toss, she trips and breaks 11 balloons.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The number of water balloons w in the bin before Kimberly trips.

She counts the remaining water balloons, and there are 13 left.

According to the question, the equation is

w-11=13

⇒ w=13+11

⇒ w=24

Hence, equation can use to find the number of water balloons w in the bin before Kimberly trips is w-11=13.

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The reason for 1/2 and not 5/10 is it is a norm in math to  reduce fractions to the least terms

This is a term used to refer to fractions that are equal even though they have different values in both he numerator and the denominator

Fractions are class of numbers that are of two parts the upper part is the numerator while the lower part is called the denominator.

In the given problem, 1/2

5/10 is an equivalent form of 1/2, this means that they are equal.

5/10 is shown to be equal to 1/2 by dividing by 5, this reduces the fraction to the least term which is 1/2. Using calculator can still show it that both numbers equal 0.5

In mathematics, it is preferred to reduce fractions to it's least form except it was stated.

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The cost of 15 cans will be AED 48.

According to the question,

We have the following information:

Cost of 10 cans = AED 32

Now, in order to find the cost of 15 cans, first we will find the cost of 1 can by dividing the total cost of 10 cans by the number of cans.

So, we have the following expression:

Cost of 1 can = 32/10

Cost of 1 can = AED 3.2

Now, we will find the cost of 15 cans using multiplication:

Cost of 15 cans = 15*3.2

Cost of 15 cans = AED 48

Hence, the cost of 15 cans will be AED 48.

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Answer:

You would have to add all of them up, which is (7*4) + 18 = 46.
Therefore the answer is 46 feet for the length of the fence.

THe given series is GP series

common ratio n =5

The series is given 4,20,100...

then common ratio is 20/4=5

and another is 100/20=5

so common ratio is same

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Answer:

Whichever ratio has more water will be less concentrated (less "grapefruity"), and whichever ratio has more of the concentrate will be more concentrated (more"grapefruity").

Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.

A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test  we can find the mean difference between pairs of measurements is zero or not. So  paired t-test is used, when data is in the form of matched pairs

Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

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Answer:

first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1

Step-by-step explanation:

The correct statement is 'Sally rode 39 miles in 3 hours. To compute Sally's unit rate, divide both the numerator and denominator by 3'

In this question, we have been given a statement 'Sally rode 39 miles in 3 hours. To compute Sally's unit rate, divide both the numerator and denominator by ____'

We need to complete given statement.

We know that, the denominator in unit rate is always 1.

So, to find unit rate we need to divide the denominator with the numerator in such way that the denominator becomes 1.

Sally's unit rate is 39/3 miles per hour

numerator = 39 and denominator = 3

We need to make denominator 1 so divide numerator as well as denominator by 3.

So, the unit rate would be, 13/1 = 13 miles per hour

Therefore, the correct statement is 'Sally rode 39 miles in 3 hours. To compute Sally's unit rate, divide both the numerator and denominator by 3'

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exact form

x=71/8

Decimal Form:

x=8.875

Mixed Number Form:

x=  8    7/8

Answer:

Step-by-step explanation:

8 7/8

x + z can't be result in a value that's rational.

x + z is never rational.

Given,

In the question:

Let x be a rational number not equal to zero and let z be an irrational number.

To determine whether the operation results in a value that is always rational, never rational, or sometimes rational.

Now, According to the question;

Assume, x + z results in a value that is rational

m = x + z

z = m - x  (m, x is rational)

∴ m - x is a rational.

but z is an irrational number.

So, x + z can't be result in a value that's rational.

x + z is never rational.

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Answer:

f(-3) = |(-3)-2| = |-5| = 5