Why is the first step when solving
2x – 15 - 4x = 3 to combine like terms?

The three inequalities that satisfies all the points in the unshaded region of the graph of inequalities are;

The three inequalities that satisfies all the points in the unshaded region are;

1) The inequality that represents the unshaded region to the left of the vertical dashed line at x = 5 is found as follows;

A region to the left of a vertical dashed line in inequality is represented by the less than or equal to symbol, ≤. The region to the right is represented by ≥

The region to the left of the dashed line, x = 5 is therefore;

2) The region located below the dashed line y = 10 is represented by the inequality;

3) The slope, m, of the dashed line that extends from point (0, 10) to point (5, 0) is given by the equation;

m = (0 - 10)/(5 - 0) = -2

The equation of the line is therefore;

y - 0 = -2 × (x - 5) = -2•x + 10

y = -2•x + 10

Which gives;

y + 2•x = 10

2•x + y = 10

The inequality that represents the region to the right of the line 2•x + y = 10 is therefore;

2•x + y ≥ 10

The compound inequality, that represents the unshaded region is therefore;

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a. False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. True, this is the correct interpretation of a confidence interval of proportions.

c. False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. False. As the confidence level decreases, so does z, which means that the margin of error decreases.

In a sample with a number n of people surveyed with a probability of success of, and a confidence level of, we have the following confidence interval of proportions.

In which

z is the score that has a p-value of.

The margin of error is:

So the confidence interval can be written as:

Interpreting a confidence interval:

x% confidence interval between (a,b) means that we are 95% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% confidence interval between (43%, 49%).

a. We are 95% confident that between 43% and 49% of Americans in this sample support the decision of the U.S. Supreme Court on the 2010 healthcare law.

False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. We are 95% confident that between 43% and 49% of Americans support the decision of the U.S. Supreme Court on the 2010 healthcare law.

True, this is the correct interpretation of a confidence interval of proportions.

c. If we considered many random samples of 1,012 Americans, and we calculated the sample proportions of those who support the decision of the U.S. Supreme Court, 95% of those sample proportions will be between 43% and 49%.

False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. The margin of error at a 90% confidence level would be higher than 3%.

False

As the confidence level decreases, so does z, which means that the margin of error decreases.

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Answer:

I believe the answer is 13 months.

Step-by-step explanation:

First you make an equation.

* 145 + 2x = 210 - 3x

* After you solve it!

> 145 = 210 - 5x

> -65 = - 5x

> -65/-5 = x

> 13 = x

It's going take 13 months for both to be on the same weight.

I hope you get this right.

Distance between Alan and Beatrice is changing at the rate of 102.667 mph.

Time is the continuous flow of existence and the events that take place in what appears to be an unbreakable sequence from the past, present, and forward into the future. Time is often referred to be a fourth spatial dimension in addition to the three others.

Philosophers, theologians, and scientists have long considered time to be an important subject of study, but they have never been able to agree on a definition of time that can be used across all of these fields without becoming circular. However, a wide range of fields, including business, industry, sports, the sciences, and the performing arts, all include some form of the concept of time into their own measurement schemes.

[tex]D_{x}=60t\\D_{y}=x-50t\\D=\sqrt{(D_{x})^2+(D_{y})^{2}} \\D=\sqrt{(60t)^2+(x-50t)^2}[/tex]

where t is time and D is the distance

We know, S=D*D

So,

[tex]S=3600t^2+x^2+2500t^2-100xt\\\frac{dS}{dt} = 7200t+5000t-100x\\=12200*\frac{8}{600}-100*0.6\\ =\frac{308}{3}[/tex]

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Answer:

x = -168

Step-by-step explanation:

Multiply both sides of the equation by 4.

= -x = 168

Multiply both sides by −1.

x = -168

Hope it helps!!!

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Answer:

Step-by-step explanation:

y - 1 = -9/2 (x + 7)

Distribute -9/2:

y - 1 = -9/2x - 63/2

Add 1 on both sides to isolate y:

(y - 1) + 1 = (-9/2x - 63/2) + 1

y = -9/2x -61/2

A line parallel to another has the same slope as that line so both slopes are -9/2.

M = -9/2

Answer:

113 with a remainder of 3

Step-by-step explanation:

Using translation concepts, the series of transformations that shows that pentagon A is congruent to pentagon B is:

B. Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, we have that the Pentagons have different orientations, meaning that it was rotated, eliminating options A and D.

For the vertices to reach the position they reached in Pentagon B, there had to be a shift left, and before the shift left, the Pentagon must have been entirely at the fourth quadrant, meaning that it was reflected about the point (1,1), and option B is correct.

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Answer:

angle bisector

Step-by-step explanation:

the construction shows an angle bisector.

the line EG bisects ∠ FED

The equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation of the parabola is y = 2 · x · (x - 4).

Herein we find a representation of a quadratic function on a Cartesian plane, whose formula in vertex form is presented below:

y - k = C · (x - h)²

Where:

By direct inspection we find that the equation of the parabola has a vertex at (h, k) = (2, - 8) and the point (x, y) = (4, 0). Then, the vertex constant is:

C = (y - k) / (x - h)²

C = (0 + 8) / (4 - 2)²

C = 8 / 4

C = 2

Then, the equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation is determined by algebra:

y + 8 = 2 · (x - 2)²

y = 2 · (x - 2)² - 8

y = 2 · (x² - 4 · x + 4) - 8

y = 2 · x² - 8 · x + 8 - 8

y = 2 · x² - 8 · x

y = 2 · x · (x - 4)

The factored form of the equation of the parabola is y = 2 · x · (x - 4).

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The order of the points starting with a and going clockwise around the circle is;

a ⇒ c ⇒d ⇒b

Here,

Four points, a, b, c, and d, lie on a circle having a circumference of 17 units.

b is 5 units counterclockwise from a.

c is 3 units clockwise from a.

d is 11 units clockwise from a and 6 units counterclockwise from a.

We have to find, The order of the points starting with a and going clockwise around the circle.

What is Circumference of circle?

The circumference is the distance around a circle or any curved geometrical shape.

Now,

b is 5 units counterclockwise from a.

b ⇒ a

c is 3 units clockwise from a.

b ⇒ a ⇒ c

d is 11 units clockwise from a and 6 units counterclockwise from a.

d ⇒ b ⇒a ⇒ c ⇒d

So, when we draw all points on circle we get;

The order of the points starting with a and going clockwise around the circle is;

a ⇒ c ⇒d ⇒b

This is shown in figure.

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From given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}

result related to union and intersection  of sets are verified

A).  A- (B∪C)=(A - B)∩ (A- C)

B).  A∩(B-C) =(A∩B) - (A∩C)

As given,

A={a,b,c,d,e,h}

B={b,c,d,f,g}

C={a,c,e,f,h,i}

A). A- (B∪C)={a,b,c,d,e,h} - { a,b,c,d,e,f,g,h,i}

                    = { }

(A - B)∩ (A- C)={a,e,h} ∩ {b,d}

                       ={ }

⇒A- (B∪C)=(A - B)∩ (A- C)

B) A∩(B-C)={a,b,c,d,e,h} ∩{b,d,g}

                  ={b,d}

   (A∩B) - (A∩C)={b,c,d} -{a,c,e}

                           ={b,d}

⇒A∩(B-C)=(A∩B) -(A∩C)

Therefore, from given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}

result related to union and intersection of sets are verified

A).  A- (B∪C) =(A - B)∩ (A- C)

B).  A∩(B-C)=(A∩B) - (A∩C)

The complete question is:

If A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}, then verify that

A). A- (B∪C) = (A - B)∩ (A- C)

B). A∩(B-C) = (A∩B) - (A∩C)

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Answer:

13. x = 2 - 5y

14. x= 6y + 2

The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

According to the statement

We have to find about the distance.

So, For this purpose, we know that the

The distance between two points is that the length of the path connecting them.

From the given information:

We have to search out that the the shortest distance between two points on a sphere.

Then we all know that the

Sphere is that the set of all points in three-dimensional space lying the identical distance from a given point, or the results of rotating a circle about one in every of its diameters.

Then

The shortest path between two points on the sphere is that the arc of a good circle.

According to this the option C is correct.

So, The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

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Answer:

bkjjb.l kkllkk kk. lkm j. km j. kk. k mgdv. nutdc

The expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(l+w)

l = (7p+8q) cm

w =  (10p - 9q) cm

Substitute

P = 2(7p+8q+10p-9q)

P = 2(15q+p)

P = 30q + 2p

Hence the expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p

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Answer:1.3

Step-by-step explanation:

33/22=1.32

Round to nearest 10th

1.32=1.3

Answer:

0.18

Step-by-step explanation:

you just need to divide 2÷11 until 2 decimal places

Answer:

5°C

Step-by-step explanation:

(add 4 each hour)

9AM:-15°C

10AM:-11°C

11AM:-7°C

12AM:-3°C

1AM:1°C

2AM:5°C

Answer is angle 2

Reason

two angles are adjacent angles when they share the common vertex and a side.

See attached picture

Here are the missing amounts :

A = $2100

B = $300

C =  $50

D =  $270

E = $945

F = $1,345

Receipts represents income to the company. It is a source of cash inflow. Expenses represents cash outflow. Net cash flow is the difference between receipts and expenses. Cumulate balance is the sum of the net cash flow of the previous periods and the net cash flow of the present period.

A = Net cash flow + expenses

1975 + 125 = 2100

B = Receipts - expense

$2225 - $1925 = $300

C =  Receipts - expense

$2050 - $2000 = $50

D = Net cash flow = $270

E = cumulative balance in April + net cash flow in May

$570 + $375 = $945

F = = cumulative balance in July + net cash flow in August

$1120 + $225 = $1,345

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Answer:

The quotient of 24 and d would be [tex]\frac{24}{d}[/tex]

Step-by-step explanation:

Quotient is the answer of a division problem. So, you would divide 24 by d.

Answer:

ac =13x-35

m/abc = 7y-8

Step-by-step explanation:

in first to minus of same base

second it remain same because it can't be subracted with different base

Answer:

2.

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −2 and 0 is 2.

Hope this helps.

Answer:

2

Step-by-step explanation:

Let's solve the equation step by step

|-2|

= 2

Answer:

1 + 1 = 2 a i esta la respjesta

Step-by-step explanation:jijiji

Answer:

4

Step-by-step explanation:

2+2=4 dummy

Answer:

1740

Step-by-step explanation:

Since the 10 has an exponent of 3, we can move the decimal of 1.74 to the left 3 times, which gives us 1740.

Answer:1740

Step-by-step explanation:

10x10=100

100x10=1000

1.74x1000=1740

HOPE THIS HELLPPPSSS : )

Answer:

-15

Step-by-step explanation:

p = 5

- | -3(5 |  =  - | -15 |  =  - | 15 |  =  -15