Cool Down: Identifying End Behavior
State the degree and end behavior of the following polynomial function:
f(x) = 3x³ + 2x + 1x² + 1
Explain or show your reasoning.

Answer:

Division property of inequality

Step-by-step explanation:

24<4x

24/4<4x/4

6<x

(1/4)×24 < (1/4) ×4x

6 < x

The word problem that depicts this algebraic equation is;

The sum of the weight of my son and my daughter is 9 kg but the product of their weights is 14. Find the weights of each person.

We want to write a word problem with the equation;

x(9 - x) = 14

The word problem that depicts this algebraic equation is;

The sum of the weight of my son and my daughter is 9 kg but the product of their weights is 14. Find the weights of each person.

Now, the word problem above is correct because if we assume their weights are x and y, then we can say that;

x + y = 9

xy = 14

Now, y = 9 - x

Thus, equation 2 is;

x(9 - x) = 14

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Answer:

what do you need person jjff

Answer: 12

Step-by-step explanation:

The value of the quotient is - 27

To determine the quotient, first, we have

(1/2)(-27Divided by 1/3) 2/3

Multiply the numerator and denominator

=

[tex] \frac{ - 162}{6} [/tex]

Then divide the numerator by the denominator, we get

= - 27

Thus, the value of the quotient is - 27

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22

bc I know that is 22 so just put that

Graph 3

Because

The graph is like the first graph

When x approaches+oo y approaches+oo

But when x is negative the reverse thing happens

Hence Graph C is correct

Answer:

Graph 3

Step-by-step explanation:

Given function:

[tex]f(x)=\sqrt[3]{-x}[/tex]

Therefore, the parent function is:

[tex]f(x)=\sqrt[3]{x}[/tex]

(The graph of the parent function is the first graph in the answer options).

The transformation that takes the parent function to the given function is:

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Therefore, the graph of the given function is the third graph in the given answer options (see attached).

Answer: 6435

Step-by-step explanation:

[tex]\binom{15}{8}=6435[/tex]

Using the corresponding angles postulate:

m∠3 = 150°

m∠5 = 150°

According to the corresponding angles postulate, corresponding angles, ∠3 and ∠5 are congruent to each other.

Thus, we would have the following equation:

m∠3 = m∠5

Plug in the values

50x - 100 = 25x + 25

50x - 25x = 100 + 25

25x = 125

x = 125/25

x = 5

m∠3 = 50x − 100 = 50(5) − 100 = 150°

m∠5 = 25x + 25 = 25(5) + 25 = 150°

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Answer:

I think it's B

Step-by-step explanation:

because it's a function,it's 5 to 4 not one to one

As the person that is in charge of public relations the steps that you would take to deal with the issue on ground would be:

This is the term that is concerned with the part of management that is concerned with the maintenance of a positive image for an organization.

The director has to take proactive steps in order to take care of the issue in a timely and good manner.

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Answer:

13.5 litres

Step-by-step explanation:

the ratios are 2 : 3 : 4 = 2x : 3x : 4x ( x is a multiplier )

given Henrietta produced 1.5 litres more than Gladys , then

4x = 3x + 1.5 ( subtract 3x from both sides )

x = 1.5

then total milk produced by the 3 cows is

total = 2x + 3x + 4x = 9x = 9 × 1.5 = 13.5 litres

The approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 5.

Hence, Mean,μ=46 and Standard deviation,σ=5.

To find the probability of daily phone calls numbering between 36 and 56,

P(36≤X≤56)

To convert the X score to Z score, use the formula, Z=(X-μ)/σ

Then we get,

P((36-46)/5 ≤ Z ≤ (56-46)/5) = P(-2 ≤ Z ≤ 2)

By using the property of the normal bell curve, we get

P(-2 ≤ Z ≤ 2) = P(2 ≤ Z) - P(-2 ≤ Z)

As per the normal distribution table,

P(2 ≤ Z) - P(-2 ≤ Z) = 0.9772-0.0228

∴ P(36≤X≤56) = 0.9544

Hence, the approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.

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Answer:

Absolute value parent function

Explanation:

What is an Absolute value function?

It is a function in Algebra in where the variable is inside the absolute value bars (| |)

f(x)=|x|

y=x on the right side and y=-x on the left side of the graph

Hope it helps!

Using the z-distribution, it is found that a sample size of 3,385 is required.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.

We have no prior estimate, hence [tex]\pi = 0.5[/tex] is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.02\sqrt{n} = 2.327 \times 0.5[/tex]

[tex]\sqrt{n} = \left(\frac{2.327 \times 0.5}{0.02}\right)[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.327 \times 0.5}{0.02}\right)^2[/tex]

n = 3,385.

A sample size of 3,385 is required.

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Answer:

A

Step-by-step explanation:

The pattern is quadrilateral (4-gon), pentagon (5-gon), and hexagon (6-gon). Therefore the next figure would be a heptagon (7-gon).

The way to convert counts into relative frequencies in a Two Way Relative Frequency Table is to divide the count by the total number of items

This refers to the depiction of the number of times in which an event occurs in the form of a table.

Hence, when a two-way frequency table is used, it shows the visual representation of the possible relationship between different sets of data.

Please note that your question is incomplete as you did not provide the frequency table needed and also the trends and generalizations to find, so a general overview was given.

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Answer:

The relative frequency table shows a trend that a majority of people prefer coffee over tea: the ratio in the total row for coffee is 0.65 and just 0.35 for tea. Similarly, more people are night owls than early birds: the total column for night owl is 0.6, but the early bird column is only 0.4.

Answer:

I have wrote just answers

Answer:

4/91

Step-by-step explanation:

There are a total of 15 marbles.  In the first selection there are 15 marbles and 6 are blue.  That would be 6/15.

Since we are not replacing marbles, we now have 14 marbles and we want to select one of the 5 white marbles.  That would be 5/14.

Lastly we now only have 13 marbles and of those we want to select one of the 4 red ones.  That would be 4/13.

Now we take these 3 fractions and multiply them together.

6/15(5/14)(4/13).  I am going to try to make this a little easier and see if I can find any factors that any top number shares with any bottom number.

I see 5 on the top shares a common factor with 15 on the bottom.  I will divide these numbers by 3, so now I have

6/3(1/14)(4/14).  I think that I can do better than that.  I see that 6 on the top and 3 on the bottom share a common factor of 3.  I will divide both of these numbers by 3.  Which will give me:

2/1(1/14)(4/13) I see a 4 on top and a 14 on the bottom.  Those are both divisible by 2 so, I will divided them both by 2 and that leaves me with

2/1(1/7)(2/13)  That is a lot easier, now I will just multiple the top numbers and multiply the bottom numbers to get

4/91

Answer:

[tex]x \approx 1.16[/tex]

Step-by-step explanation:

a.

To find the values of m and n, we have to first expand  [tex](x + m)^2 + n[/tex] :

[tex](x + m)^2 + n[/tex]

⇒ [tex]x^2 + 2mx + m^2 + n[/tex]

[tex]f(x) = x^2 + 4x - 6[/tex]

Now  compare the coefficients of the x-terms:

• [tex]2mx = 4x[/tex]

⇒ [tex]\bf m = 2[/tex]

• [tex]m^2 + n = -6[/tex]

⇒  [tex]2^2 + n = -6[/tex]

⇒ [tex]n = -10[/tex]

b.

[tex]x^2 + 4x - 6 = 0[/tex]

∴ [tex](x + 2)^2 - 10 = 0[/tex]

⇒ [tex](x + 2)^2 = 10[/tex]

⇒ [tex]x + 2 = \sqrt{10}[/tex]

⇒ [tex]x = \sqrt{10} -2[/tex]

⇒ [tex]x \approx 1.16[/tex]

Answer: I am pretty sure you are correct from my standpoint

Step-by-step explanation:

If you look closely he is pretty close to the answer or it is the answer or this is just answer on my point or if its wrong try b

See below for the complete table and graph of y = x + 4

The function is given as:

y = x +4

Where x = -2, 0, 2, 6 and 8

So, we have

y = -2 +4 = 2

y = 0 +4 = 4

y = 2 +4 = 6

y = 6 +4 = 10

y = 8 +4 = 12

The above computation implies that the complete table is

Input x        x + 4        Output, y        (x, y)

-2               -2  + 4          2                  (-2,2)

0                 0  + 4          4                  (0,4)

2                 2  + 4          6                  (2,6)

6                 6  + 4          10                 (6,10)

8                 8  + 4          12                  (8,12)

See attachment for the graph of y = -x + 4

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Answer: 97350

Step-by-step explanation:

The numbers (3251)(30) are separated by using parentheses by multiplying the numbers we get 97350.

When we notice two or more numbers together that exist divided by parentheses, then the parentheses exist pointing us to multiply.  In math, multiplying indicates adding equivalent groups. When we multiply, the number of things in the group rises. The two elements and the product exist as regions of a multiplication problem.

Given: (3251)(30)

Here, the numbers are separated by using parentheses, then the parentheses exist pointing us to multiply.

Therefore, by multiplying the numbers we get

(3,251)(30) = 97350

Therefore, the correct answer is 97350.

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Answer:

C. 16 days

Step-by-step explanation:

Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.

If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.

2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.

4 more workers join to complete the job, so we now do 12 work each day.

150 - 54 = 96

96 work is left to do, which would be done in 8 days by 12 workers.

8 days + 8 days = 16 days

The equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

A line is the shortest distance between two points. The equation in point-slope form is expressed as:

y =. mx + b

m is the slope

b is the y intercept

Using the coordinate points (25, 20) and (60, 55)

Slope = 55-20/60-25
Slope = 35/35
Slope = 1

For the intercept

20 = 1(25) + b

b = 20 - 25

b = -5

Substitute

y = x + (-5)

y = x - 5

Hence the equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

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The line PQ is altitude of the triangle. This can be obtained by understanding what an altitude is.

Properties of altitude of a triangle:

In the given triangle,

it is clear that angle Q is 90° and therefore PQ is a perpendicular line from the point P.

Since the perpendicular line, which is PQ, is drawn from the vertex, which is P  of the triangle to the opposite side, which is SR.

Thus PQ is the altitude of the triangle.

Hence in the given figure, the line PQ is the altitude of the triangle.

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Answer:

Step-by-step explanation:

It would be point B. Since y-intercept is when the x is at 0, the answer would be point B.

The solution of the differential equation y(3)=29/9.

Given a differential equation y'+(y/x)=x for y(1)=1.

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

We will solve this differential equation by using the integrating factor method.

Firstly, we will find the integrating factors by using the formula, we get

[tex]I.F=e^{\int Pdx}[/tex]

Here P=1/x and substitute this in the formula, we get

[tex]\begin{aligned}I.F.&=e^{\int \frac{1}{x}dx}\\ &=e^{\log x}\\ &=x\end[/tex]

Now, we will substitute the values in the formula

[tex]y\times I.F.=\int Q\times I.F.dx[/tex]

Here Q=x an substitute this in the above formula, we get

[tex]\begin{aligned}y\times x&=\int x\times xdx\\ yx&=\int x^{2} dx\\ yx&=\frac{x^3}{3}+C\end[/tex]

Further, we will divide both sides with x, we get

y=(x²/3)+(C/x)                       ......(1)

Given that y(1)=1 means when x=1 then y=1 so substitute this in equation (1) to find the value of C, we get

1=(1/3)+C

1-(1/3)=C

2/3=C

Substitute the value of C in equation (1), we get

y=(x²/3)+(2/(3x))

Now find the value of y when x=3, we get

y=(9/3)+(2/9)

y=3+(2/9)

y=29/9

Hence, in the differential equation y'+(y/x)=x for y(1)=1 then y(3) is 29/9.

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