What steps do you use to solve y=x+12 and y=-x+17 an unknown number y is 12 more than an u known number x the number y is also x less than 17 the equations to find x and y are show

Answers

Answer 1

Answer:

x=2.5

Step-by-step explanation:

Solve for x in this systems of equations, we already have two values which equal y so half the work is finished for us.

Starting with the equation:

[tex]x+12=17-x[/tex]

Add x to both sides to remove the negative x on the right side of the equation:

[tex]2x+12=17[/tex]

Subtract 12 from both sides to remove the 12 on the left side of the equation:

[tex]2x=5[/tex]

Divide both sides by 2 to cancel out the x coefficient

[tex]x=2.5[/tex]


Related Questions

The perimeter of a rectangle is 320 feet. Find the length and width if the length is an odd integer and the width is 5 times the next consecutive odd integer.

Answers

The length is 25 feet and the width is 135 feet

What are consecutive odd integers?

Consecutive odd integers differ by 2. If x is an odd integer, then x + 2, x + 4 and x + 6 are consecutive odd integers.

How to find the perimeter of the rectangle?

⇒Perimeter of rectangle = 2(l+w)

The perimeter of a rectangle is 320 feet

let the length of a rectangle is x

The next consecutive odd integer is x+2

width = 5(x+2)

=5x+10

2(length + width) = 320

l+w=160

x+5x+10=160

6x=150

x=25

length = 25 feet

width = 5(25+2)=135 feet

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(2x² – 3x)(3x² + 2x - 1)

Answers

Answer:

6x^4-5x^3-8x^2+3x

Step-by-step explanation:

-factor it using FOIL (first outside inside last)

which fraction is greater 3/6 or 6/10

Answers

Answer:

6/10

Step-by-step explanation:

3/6 = 0.5

6/10 = 0.6

0.6>0.5

Then

6/10 is greater than 3/6

Answer: 3/6 = 0.5 , 6/10 = 0.6

Therefore 6/10 is greater then 3/6
(6/3 > 6/10)

help me with this question

Answers

Answer: A) 23,00

Step-by-step explanation:

A=23,00

B=8,600

C=12,00

D=3,600

Answer is A. 2.3 x 10^4

Step by step.
Changing from scientific to regular number, when it is a positive, move the decimal the same amount of places to the right, while adding zeros, as many places as the notation. See my attachment.

Selim is ordering concrete spheres to place as barriers in the city park. The spheres cost $2 per square foot, and Selim can spend $20 per sphere. What is the maximum diameter of the spheres he can purchase?

Answers

Answer:

1.78 feet.

Step-by-step explanation:

If they cost $20 each and its $2 per square foot, the area of the spheres

is 20 / 2 = 10 ft^2.

Area of sphere = 4 π r^2 = 10   (where r = the radius)

---> r^2 = 10 / 4π

            =   0.796

---> r = 0.892 ft

So the diameter = 2 * r  

                           =  1.78 feet to nearest hundredth.    

PLEASE HELP IM DTUCK

Answers

Answer:

Future Amount ≈ 32

Step-by-step explanation:

substitute x = 8 into the given formula , that is

future amount = 16[tex](1.09)^{8}[/tex] = 16 × 1.99256.. ≈ 32 ( nearest whole number )

My car uses 8.5L of petrol per 100km travelled. If petrol costs $2.05 per litre, how much will the petrol cost for my trip?

Answers

Answer:

$0.17425/Km

Step-by-step explanation:

8.5L/100Km*$2.05/L

= $0.17425/Km

PLS HELP. I tried and cant figure it out.

Answers

Answer:

I x² +12x I = -32

Step-by-step explanation:

Absolute value equation:

  x = -4  ; x = -8

x + 4 = 0  and     x + 8 = 0

(x +4)(x + 8) = 0

x*x + x*8 + 4*x + 4*8 = 0

     x² + 4x + 8x  + 32 = 0

         x² + 12x   + 32   = 0

Absolute value equation:

  I x² + 12x I = -32

Alice and Bob are currently 1000 feet apart and are both running directly
toward each other at a constant speed of 10 feet per second. A bird starts in the same
position as Alice and flies directly toward Bob at a speed of 20 feet per second. When the
bird reaches Bob, it turns around immediately and starts flying toward Alice at the same
speed, turning around immediately when it reaches Alice, and repeating this procedure until
Alice and Bob meet. When Alice and Bob finally meet, what is the total distance that the
bird has flown, in feet?

Answers

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.

Distance equals speed multiplied by time.

Distance between Alice and Bob=1000 feet.

Distance between the bird and Bob=1000 feet.

Speed of Alice and Bob=10 feet per second.

The combined speed of Alice and Bob=20 feet per second.

Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)

The time covered at the meeting point=20 second (1000/50)

Speed of the bird=20 feet per second.

The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).

Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.

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What number should go in the space? Multiplying by 1.36 is the same as increasing by _________%.​

Answers

The required percentage increase is 36%. So, a number increased by 36% is the same as the number multiplied by 1.36.

How to calculate the percentage increase of a number?

The formula for calculating the percentage increase of a number is

%increase = 100 × (Final - initial)/initial

Calculation:

Consider the number as 'x'

The result when the number is multiplied by 1.36 is 1.36x

So, the percentage increase is calculated as follows:

%increase = 100 × (Final - initial)/initial

Where Initial = x and Final - 1.36x

⇒ %increase = 100 × (1.36x - x)/x

⇒ %increase = 100 × x(1.36 - 1)/x

⇒ %increase = 100 × 0.36

⇒ %increase = 100 × 36/100

∴ %increase = 36

Thus, when a number is multiplied by 1.36, the result obtained is equal to the 36% increase in the number.

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From the diagram below, we can tell that ___.

Answers

Answer: b. the two triangles are similar by SAS

Step-by-step explanation:

       These two triangles (ABC and ADE) both share angle A. This means that one angle is congruent.

       Next, we will look at the sides. Triangle ADE has side lengths of 6, 9, and x. Triangle ABC has side lengths of 8+6, 12+9, y. Let us see how these side lengths compare.

[tex]\frac{8+6}{12+9} =\frac{14}{21} =0.6666[/tex]

[tex]\frac{6}{9} = 0.6666[/tex]

       THey are similar. This means the triangles can be prooven similar with SAS.

Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.

Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4

Josiah’s work:

StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
He did not multiply the numerator and denominator by the correct number to equal 1,500.
His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion.
He can only solve the proportion by multiplying the numerator and denominator by a common multiple.
He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

Answers

Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:

He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.He did not multiply the numerator and denominator by the correct number to equal 1,500.He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

What did Josiah do wrong?

To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:

= (4 + 6) / 2

= 5

Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.

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18 PTS!! What is the 400th term of the sequence below when using the explicit formula
aₙ=a₁+(n-1)•d?

79, 82, 85, 88,...

A. 1273
B. 1279
C. 1276
D. 1282

Answers

Answer:

[tex]\huge\boxed{\sf a_{400}=1276}[/tex]

Step-by-step explanation:

Sequence:

79, 82, 85, 88, ....

Explicit formula:

[tex]a_n=a_1+(n-1)d[/tex]

Where,

[tex]a_n = a_{400[/tex] (the term that is to be found)[tex]a_1 = 79[/tex] (the first term)[tex]n = 400[/tex][tex]d = 3[/tex] (difference between first and second term)

Put the givens in the above formula

[tex]a_{400}=79 +(400-1)3\\\\a_{400}=79 + 399\times3\\\\a_{400}=79+ 1197\\\\a_{400}=1276\\\\\rule[225]{225}{2}[/tex]

Simplify[tex](\frac{16}{81}x^{16}\right))^{\frac{1}{2}}[/tex]

Answers

The answer is = 4x^8/9

Answer:

[tex]\sf \dfrac{4}{9}x^8[/tex]

Step-by-step explanation:

Law of exponents:

       [tex]\sf (a*b)^m = a^m *b^m\\\\(a^m)^n =a^{m*n}[/tex]

  16 = 4 *4 = 4²

 81  = 9 *9 = 9²

[tex]\sf\left (\dfrac{16}{81}x^{16}\right)^{\frac{1}{2}}= \left(\dfrac{4^2}{9^2}x^{16}\right)^{\frac{1}{2}}[/tex]

                [tex]\sf =\dfrac{4^{2*\frac{1}{2}}}{9^{2*\frac{1}{2}}}*x^{16*\frac{1}{2}}\\\\=\dfrac{4}{9}x^8[/tex]

someone help please!

Answers

See attachment for the graph of the functions y = x + 2, y = 2x and y = -x

How to complete the tables and plot the graphs?

Equation 14

The equation is given as:

y = x + 2

When x = 0, we  have

y = 0 + 2 = 2

When x = 1, we  have

y = 1 + 2 = 3

When x = 2, we  have

y = 2 + 2 = 4

So, the complete table is

x    y

0     2

1      3

2     4

See attachment for the graph of the function y = x + 2

Equation 15

The equation is given as:

y = 2x

When x = 0, we  have

y = 2 * 0 = 0

When x = 1, we  have

y = 2 * 1 = 2

When x = 2, we  have

y = 2 * 2 = 4

When x = 3, we  have

y = 2 * 3 = 6

So, the complete table is

x    y

0    0

1     2

2    4

3    6

See attachment for the graph of the function y = 2x

Equation 16

The equation is given as:

y = -x

When x = -3, we  have

y = 3

When x = -1, we  have

y = 1

When x = 1, we  have

y = -1

When x = 3, we  have

y = -3

So, the complete table is

x    y

-3    3

-1     1

1     -1

3    -3

See attachment for the graph of the function y = -x

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suppose sin(A)=-0.78. use the trig identity sin^2(A)+cos^2(A)=1 and the trig identity tan(A) = sin(A)/cos(A) to find tan(A) in quadrant IV. round to the ten-thousandth.

a. -0.2039
b. 1.3941
c. 0.8671
d. -1.2464

Answers

In quadrant IV, [tex]\cos(A)[/tex] is positive. So

[tex]\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258[/tex]

Then by the definition of tangent,

[tex]\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}[/tex]

If (a2b−3c)34a−1b4c5=apbqcr What is the value of p+2q?​

Answers

Explanation:

Use BODMAS and algebra to arrive at the values of P = 5/2, q = -25/4 and r = -9/2.

Then substitute the values of p and q into p+2q to get -10

Express graph in slope intercept form

Answers

Answer:

2/6

Step-by-step explanation:

Count up and over going from one point to the next and you get slope intercept. This one is up 2 over 6

Answer:

y = 1/3x - 3

Step-by-step explanation:

Slope-intercept form follows the format y = mx + b, where m is the slope of the line, and b is the y-intercept.

First let's find the slope. The slope is the amount the graph rises/runs. From point (0,-3), it rises by 1, and runs to the right by 3 where it meets the next point on the graph, meaning that the slope is 1/3.

Now, let's find the y-intercept. The y-intercept is the point on the graph where the line touches the y-axis. In this line, we can clearly see that the line touches (0,-3), therefore, the y-intercept is -3.

Using this information, we can construct the equation y = 1/3x - 3

In the regular octagon below, if AP = 12 cm. and BC = 19 cm, find its area.

Answers

First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)

Then find the area of one of the triangles:

Area of Triangle = [tex]\frac{1}{2} * b* h[/tex]

A = [tex]\frac{1}{2}[/tex] × 12 × 19

A = 114 cm²

To find the area of the whole octagon shape:

A = 114 × 8 = 912 cm²

Hope it helps!

Answer:

Step-by-step explanation:

You cannot do this unless you are certain that P is the center of the octagon. I don't know if that's solvable from the information given. So I will make the assumption that P is the center.

Determine the midpoint of BC. Call it E.  Draw a line from P to E. By symmetry EP = AP. BE = 1/2 * BC = 19/2 = 9.5 by construction

You have a trapezoid witch is 1/4 the area of the octagon. Three more trapezoids can fit into the octagon.

Formula

Area = (AP + BE)*PE / 2

Givens

AP = 12

BE = 9.5

PE = 12

Solution

Put the givens and constructions into the formula

Area = (12 + 9.5)*12/2

Area = 21.5 * 12/2

Area = 21.5 * 6

Area = 129

That's the area of one of the trapezoids. Multiply the area here by 4.

You get 516.

A group of friends wants to go to the amusement park. They have $284.25 to spend on parking and admission. Parking is $9.25, and tickets cost $27.50 per person, including tax. How many people can go to the amusement park?

Answers

Answer:

7

Step-by-step explanation:


The start this question by looking at two important things, how much money we have and how much money it costs per person. The friends have a total of $284.25 and we don't know how much it costs per person. To find this we must set up an equation and solve it!

Because each person must pay for parking and a ticket, we can find the cost for one person by adding the parking and ticket cost together.

$9.25 + $27.50 = $36.75

Now that we have solved this equation, we know that it costs $36.75 for one person. To find how many total people can go we dived the total amount of money we have by how much it costs per person. Let's call the number of people that can go 'p'.

p = [tex]\frac{284.25}{36.75}[/tex]

Once we simplify/solve this equation we get 7 [tex]\frac{36}{49}[/tex] so essentially, we get the whole number 7 and a long decimal, but the only important part is the 7. We take the whole number from our answer which is 7.

We now know the answer: 7.

Let's check our work!

7 * 36.75 = 257.75

284.25 - 257.75 = 26.5

26.5 < 36.75 so we are correct!

The final answer is 7!

Have an amazing day!

An industrial machine produces widgets, but it has a 0.07 defective rate. what is the probability that the machine produces fewer than 5 defective widgets in a production run of 100 items?

Answers

The probability that the machine produces fewer than 5 defective widgets in a production run of 100 items is 0.10

What is the probability?

A probability refers to the ratio of favorable events to the n number of total events.

Also, it means the chance that a particular event (s) will occur expressed on a linear scale from 0 to 1 which can also be expressed as a percentage between 0 and 100%.

Given data

An industrial machine produces 5 widgets.

It has a 0.07 defective rate.

Defective rate fewer than 5

Total Probability = P of 4 defective + P for 3 defective + P for 2 defective + P for  1 defective.

Total Probability = 4/100 + 3/99 + 2/98 + 1/97

Total Probability ≈ 0.10

Therefore, the required probability for fewer than 5 defective rate is 0.10

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What are the values of the three trigonometric ratios for angle l, in simplest form? sin(l) = 4/5 cos(l) = 3/5 tan(l) = 4/3

Answers

The values of the three trigonometric ratios for angle L, in simplest form, are:

[tex]sin(L)=\frac{4}{5}[/tex][tex]cos(L)=\frac{3}{5}[/tex][tex]tan(L)=\frac{4}{3}[/tex]

To find the values of the three trigonometric ratios for angle L, in the simplest form:

Given -

The triangle LMN is given in the question.

The measurement of side LM is 15 unitsThe measurement of side LN is 25 unitsThe measurement of side MN is 20 units

As the trigonometric properties of a triangle state that the value of sin, cos, and tan for the respective angle can be written as:

sin(L) = perpendicular / hypotenusecos(L) = base / hypotenusetan(L) = perpendicular / base

Using the above trigonometric properties, the value of sin(L):

[tex]sin(L) =\frac{20}{25} =\frac{4}{5}[/tex]

Similarly, the value of cos(L):

[tex]cos(L)=\frac{15}{25} =\frac{3}{5}[/tex]

And, the value of tan(L) is:

[tex]tan(L)=\frac{20}{15} =\frac{4}{3}[/tex]

Therefore, the values of the three trigonometric ratios for angle L, in simplest form, are:

[tex]sin(L)=\frac{4}{5}[/tex][tex]cos(L)=\frac{3}{5}[/tex][tex]tan(L)=\frac{4}{3}[/tex]

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The question you are looking for is given below:

What are the values of the three trigonometric ratios for angle L, in simplest form?

9 The cost of a mobile phone call is 30 cents plus 20 cents per minute.
a Find the possible cost of a call if it is:
i shorter than 5 minutes ii longer than 10 minutes
b For how many minutes can the phone be used if the cost per call is:
i less than $2.10 ii greater than or equal to $3.50

Answers

Using a linear function, we have that:

a) The costs are:

i. C(x) < $1.3.

ii. C(x) > $2.3.

b) The times are:

i. Less than 9 minutes.

ii. At least 16 minutes.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the y-intercept is of 0.3, while the slope is of 0.2, hence the cost for a call of x minutes is:

C(x) = 0.3 + 0.2x.

For calls shorter than 5 minutes, the costs are:

C(x) < 0.3 + 0.2 x 5

C(x) < $1.3.

For calls longer than 10 minutes, the costs are:

C(x) > 0.3 + 0.2 x 10

C(x) > $2.3.

The cost is less than $2.10 for calls of less than x minutes, found as follows:

0.3 + 0.2x < 2.1

0.2x < 1.8

x < 9.

The cost is greater or equal to $3.50 for calls of at least x minutes, found as follows:

0.3 + 0.2x >= 3.5

0.2x >= 3.2

x >= 16.

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1. Solve for x.
12
10
X
5

Answers

We can use proportions
12/x = 10/5
12*5 = 10x
60 = 10x
x = 6

Check
12/6 = 10/5
2 = 2

Select the correct answer. create a matrix for this linear system: what is the solution of the system?

Answers

The complete question is:

Create a matrix for this linear system:

what is the solution of the system?

[tex]$\left[\begin{array}{rrr}1 & -1 & -2 \\ 2 & 3 & -1\end{array}\right] c=\left[\begin{array}{r}1 \\ -2\end{array}\right]$[/tex]

The solution straight from the matrix as

[tex]$&x=\frac{1}{5}+\frac{7}{5} r \\[/tex]

[tex]$&y=-\frac{4}{5}-\frac{3}{5} r \\[/tex]

and z = r

What is the solution of the system?

A solution to a system of equations exists a set of values for the variable that satisfy all the equations simultaneously.

Given:

[tex]$\left[\begin{array}{rrr}1 & -1 & -2 \\ 2 & 3 & -1\end{array}\right] c=\left[\begin{array}{r}1 \\ -2\end{array}\right]$[/tex]

By applying two more row operations, we get

[tex]$&{\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\2 & 3 & -1 & -2\end{array}\right] R_{2}+(-2) R_{1} \rightarrow R_{2}} \\[/tex]

[tex]&\equiv\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\0 & 5 & 3 & -4\end{array}\right] \frac{1}{5} R_{2} \rightarrow R_{2} \\[/tex]

simplifying the above matrix, we get

[tex]&\equiv\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\0 & 1 & \frac{3}{5} & -\frac{4}{5}\end{array}\right] R_{1}+R_{2} \rightarrow R_{1} \\[/tex]

[tex]$&\equiv\left[\begin{array}{rrr|r}1 & 0 & -\frac{7}{5} & \frac{1}{5} \\0 & 1 & \frac{3}{5} & -\frac{4}{5}\end{array}\right]$$[/tex]

The solution straight from the matrix as

[tex]$&x=\frac{1}{5}+\frac{7}{5} r \\[/tex]

[tex]$&y=-\frac{4}{5}-\frac{3}{5} r \\[/tex] and

z = r

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Which test point holds true for the inequality 3/2y-2x>=1? Where does the shaded area lie for this inequality? The test point holds true for this inequality. The shaded area for the inequality lies the boundary line.

Answers

The test That holds true for this inequality is given as 1/4 and 1

How to solve for the inequality

3/2 y - 2x > 1

The goal is to make y the subject

then

3/2 y > 2x + 1

We have to divide through the equation by 3/2

Such that  y  > 4/3 x + 2/3

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ANSWER MY QUESTION AND I WILL MARK YOU BRAINLYIST

The following are the distances (in miles) to the nearest airport for 11 families. 9, 11, 11, 16, 16, 24, 28, 30, 34, 42, 45 Notice that the numbers are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary

Minimum:

Lower quartile:

Median:

Upper quartile:

Maximum:

Interquartile range:

Answers

Here is the five-number summary:

Minimum: 9

Lower quartile:   11

Median: 24

Upper quartile:  34

Maximum: 45

Interquartile range: 23

What is the five-number summary?

The minimum number is the smallest number in the dataset. The  minimum number is 9. The maximum number is the largest number in the dataset. The maximum number is 45.

The first quartile, third quartile and the interquartile range are used to measure dispersion.

The first quartile : 1/4(n + 1)

1/4 x (12) = 3rd term = 11

The third quartile : 3/4 x (n + 1)

3/4 x (12) = 9th term = 34

Interquartile range = third quartile - first quartile

34 - 11 = 23

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Median = 25

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2. Solve for x.
9
6
8
X

Answers

Answer:

I think the answer is 12 because 8/6 is 1.3333.... Continously so the smaller traingel is 1.33333 times smaller then the bigger one. So you jus do 9 x 1.3333... To get the bigger angels side

Find the length of AN given the figure below:

Answers

Answer:

21

Step-by-step explanation:

In the diagram, the three tangents (segment touching a circle at one point) have equal length.

6y - 3 = 29 - 2y

8y = 32

y = 4


Since the lengths of segments AM and AN are equivalent, we can substitute the value of y into the expression, 6y - 3, to find AN.

6y - 3 = 6*4 - 3 = 24 - 3 = 21

What is the probability that two people have a birthday in May?

Answers

Step-by-step explanation:

There is 31 days in May so the probability is

[tex]p(bday \: in \: may) = \frac{2}{31} [/tex]

Other Questions
Consider rolling a six-sided die. Let A be the set of outcomes where the roll is an even number. Let B be the set of outcomes where the roll is greater than 3. Calculate and compare the sets on both sides of De Morgans law.1. [tex](A \cup B)^c = A^c \cap B^c[/tex]2. [tex](A \cap B)^c = A^c \cup B^c[/tex] Find the value of x in the triangle shown below.x =9827 What are the hybridization states of the carbon atoms involved in the conversion of trans to cis retinal? In what ways would adding the nabh4 too early would interfere with your reaction? Jenny packaged 108 eggs in 9 cartons. Write this statement as a ratio Find the general solution of the given second-order differential equation. 12y'' 5y' 3y = 0 Which of the following expressions is equivalent to ab + 6ab + 7a3-14a?(b + 7)(b + 6)(a-2)Ob(b + 6)+7(a-2)Oa[b(b + 6) +7(a-2)]a[(b + 7)(b + 6) (a-2)] Can anyone please write a detailed 300+ word summary for the book, rivals by: tommy greenwald A monopolist will never choose a price-quantity combination where price reductions cause:______ Which is a function of the cell structure that is labeled x? it stores lipids. it helps in cell metabolism. it provides support. it transports proteins. Delegates from __________ states did not want slaves to be counted in the census. Which best describes one of the primary aims of government fiscal policy?to restrict price changesto put more money into citizens handsto generate new investment opportunitiesto control real interest rates Which competitive macroenvironment do many athletic shoe manufacturers, including nike, new balance, adidas, and more recently, under armour, vigorously compete with one another for consumers? One day, thirteen babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the probability that at most eleven of the thirteen babies are girls? a. 29/128 b. 743/1024 c. 4089/4096 d. 11/64 Factor problems 9 - 12 by using the difference of squares method.9. x2 4A. This polynomial cannot be factored by using the difference of squares method.B. (x 2)(x 2)C. (x 2)(x 1)D. (x 2)(x + 2)E. (x 1)(x 4)F. (x + 2)(x + 2)10. x2 25A. (-x 5)(x - 5)B. This polynomial cannot be factored by using the difference of squares method.C. (-x + 5)(x + 5)D. (x 5)(x + 5)E. (x + 5)(-x - 5)F. (x 5)(x - 5)11. 36x4 4x2A. (6x2 2x)(6x2 - 2x) = 4x2(3x - 1)(3x - 1)B. (6x2 + 2x)(6x2 + 2x) = 2x2(3x + 1)(2x + 1)C. This polynomial cannot be factored by using the difference of squares method.D. (-6x2 2x)(-6x2 - 2x) = 4x2(-3x - 1)(-3x - 1)E. (6x2 2x)(6x2 + 2x) = 4x2(3x - 1)(3x + 1)F. (-6x2 + 2x)(6x2 - 2x) = 2x2(-3x + 1)(3x - 1)12. x2 + 100A. (x + 10)(x 10)B. (-x + 10)(x 10)C. (x + 10)(x + 10)D. This polynomial cannot be factored by using the difference of squares method.E. (x - 10)(x 10)F. (-x + 10)(-x 10) Historically, the first midwives were ___________. a. men b. women c. robots d. children What is Initiating?A. Stopping work by being negative, interrupting, or talking about something elseB. Bringing up new ideasC. Asking constructive questionsD. Directing the discussionReset Selection The ratios that measure the effectiveness of a firm's management in turning over inventory are called? Solve the given initial-value problem. y'' 4y' 5y = 35e4x, y(0) = 5, y'(0) = 1 Which of the following books led to the passage of the Pure Food and DrugAct? A. Catch-22 B. The JungleC. The OctopusD. Looking Backward