7x ≤3x-24 or 10x-1≥9

Answer: 18 is 45% of 40

18/40 =.45

.45 x 100 = 45%

Step-by-step explanation:

I assume these are all angles.

4x is the arc angle (at the center of the circle) between the 2 endpoints of the short triangle side (baseline).

the trials itself is isoceles, so both legs have the same length, bedclothes the arc angles between their endpoints are equal.

now, when we move the reference point of an arc angle back, back, back to the circle arc, the angle is cut in half.

so, the inner top angle of the triangle is therefore 4x/2 = 2x.

because of the isoceles nature, the second triangle inner angle at the baseline is also x.

the sum of the triangle angles is therefore

2x + x + x = 4x

and we know the sum of all angles in a triangle is always 180°.

so,

4x = 180

x = 180/4 = 45°

4x is then again 180°, and 2× 8y are then the remaining 180° of the full circle 360°.

2× 8y = 180

8y = 90

y = 90/8 = 11.25

x = 45

y = 11.25

Answer:

Yep,

Step-by-step explanation:

First the expression is in this way:

x+4=10

Now shift the 4 ro RHS, then it will become as follows:

x=10-4

Now 10-4 is 6

Therefore, x=6

Answer:

It is the same as subtracting 6.

Step-by-step explanation:

1 + (-6) = 5

1 - 6 = 5

Answer: Click on this: a=13.6cm,b=9.5cm and c=2.6cm for the triangle show it has a step by step way

Step-by-step explanation:

Answer:

let's assume that Sandra's regular hourly rate is x dollars per hour then she is paid 1.5x per hour for the overtime and we have 40x + (48 - 40) *1.5x = 442

Step-by-step explanation:

======================================================

Explanation:

To find the inverse, we swap x and y, then solve for y.

y = 2x-3

x = 2y-3

x+3 = 2y

2y = x+3

y = (x+3)/2

y = x/2 + 3/2

y = (1/2)x + 3/2

This shows the original function y = 2x-3 leads to the inverse y = (1/2)x+3/2, and vice versa.

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

Another approach:

Since we're given a list of multiple choice answers, we can rule out the non-answers.

Plug x = 0 into the first equation of choice A. It leads to y = 2

That output 2 is then plugged into the second equation for choice A. It leads to y = 13/2. We do not get the original input 0, which shows that the equations in choice A do not undo one another. They aren't inverses of each other.

This allows us to rule out choice A. Choices B and C are similar stories.

Notice that plugging x = 0 into the first equation of choice D leads to the output y = -3. Then plug this as the input into y = (1/2)x+3/2 and you should get y = 0 to get us back where we started. This partially helps confirm we have a pair of functions that are inverses of each other. I'll let you try other values.

Answer:

Step-by-step explanation:

Algorithm for deriving the formula of the inverse function

Step 1. In the formula for the original function, replace the notation of the argument and the value:

Step 2. From the resulting formula, express y(x).

Step 3. Take into account the constraints on the area of definition and the area of values of the original and/or inverse functions.

[tex]\displaystyle\\ y=\frac{1}{2}x+2\\\\ 1.\ x=\frac{1}{2}y+2\\ \Rightarrow\ x-2=\frac{1}{2}y \\2.\ Multiply\ both\ parts\ of\ the\ equation\ by\ 2:\\\\2(x-2)=y\\\\2x-4=y\\Thus,\\y=2x-4\neq 3x+\frac{1}{2} \\Answer:\ no\\\\2.\ y=5(x-2)\\\\1.\ x=5(y-2)\\\\2.\ Divide\ both\ parts\ of\ the\ equation \ by\ 5:\\\\\frac{x}{5} =y-2\\\\\Rightarrow\ \frac{x}{5}+2=y \\Thus,\\\\y=\frac{x}{5}+2 \neq \frac{1}{5}(x+2)\\ Answer:\ no[/tex]

[tex]y=2x-3\\1.\ x=2y-3\\\\2,\ x+3=2x\\\\Divide\ both\ parts\ of\ the \ equation\ by \ 2:\\\\\frac{1}{2}(x+3)=y\\\\ Thus,\\\\y=\frac{1}{2}x+\frac{3}{2} \equiv\frac{1}{2}x+\frac{3}{2} \\\\Answer:\ yes[/tex]

The measures of angles B and C are 118° and 62°, respectively.

A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.

When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.

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The required histogram is attached as a picture.

Given the information on how many pages each of the 20 pupils read throughout the summer.

163, 170, 171, 173, 175, 205, 220, 220, 220, 253, 267, 281, 305, 305, 305, 355, 371, 388, 402, 431

With frequency on the y axis and class on the x axis.

we observe the histogram and make out that:

class 160 - 220 has the highest frequency of 6 students whereas

400 - 460 has the least with 2 students.

The classes between them range as follows:

220 - 280 has 5 students

280 - 340 has 4 students

340 - 400 has 3 students.

Hence the required histogram is created .

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For 6 hours the temperature is held steady

Solution :

Line Graph:

A line graph—also known as a line plot or a line chart—is a graph that uses lines to connect individual data points. A line graph displays quantitative values over a specified time interval. In finance, line graphs are commonly used to depict the historical price action of an asset or security.

Line graphs can be compared with other visualizations of data including bar charts, pie charts, and (in trading) candlestick charts, among others

Temperature Rose:

It is the increase over ambient temperature of the winding due to energizing and loading

stayed steady:

A steady situation continues or develops gradually without any interruptions and is not likely to change quickly.

Temperature fall :

Temperature drop (T1−T2) is a direct indication of energy extracted. For a given resource, it is dependent on T2 which is in turn dependent on the minimum temperature of the process Ti.

There, we can see that the temperature between 12 noon to 6 pm is not changed much.

therefore we can say that for 6 hours the temperature is holding steady.

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Answer:

Perpendicular lines.

Answer:

Step-by-step explanation:

subsitute x with value given in bracket

a) f(1) = (1)²  + 1 = 2

b) f(-3) = (-3)² + 1 = 10

c) f(b³) = (b³)² + 1 = b^6 + 1

d) f(x-1) = (x-1) +1 = x

Step-by-step explanation:

[tex] = \frac{ {2}^{4} }{ {2}^{7} } [/tex]

[tex] = {2}^{4 - 7} [/tex]

[tex] = {2}^{ - 3} [/tex]

[tex] = \frac{1}{ {2}^{3} } [/tex]

[tex] = \frac{1}{2 \times 2 \times 2} [/tex]

[tex] = \frac{1}{8} [/tex]

The answer is not 8, but 1/8.

Answer:

Step-by-step explanation:

4 rides

Answer:

4 rides is the answer to this question

If a delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.

Given:

Weight of the delivery person=160 lb

Weight of box of book=50 lb

Maximum capacity=1,000lb

Let b represent the number of boxes of books

Hence,

160+50b=1,000

Collect like terms

50b=1000-160

50b=840

Divide both side by

b=840/50

b=16.8 boxes of books

Therefore the maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.

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Answer:

The answer is option C

Step-by-step explanation:

The roots of the quadratic equations are x= 6 or x= -4

X-6=0 or x+ 4=0

⇒(x-6)(x+4)

F(x)=(x-6)(x+4)

Answer:

B and D

Step-by-step explanation:

Answer:

Where exactly is the "the following" you are talkibg about.

Answer:40 miles

Step-by-step explanation:

Answer:

when you =0.8=4/5

4x + 8(4/5)=40

4x=40-32/5

4×=(200-32)/5

x=168/20

Step-by-step explanation:

4x+8y=40, when y=0.8

4x+8(0.8)=40

4x+6.4=40

4x=40-6.4

4x=33.6

x=33.6/4

x=8.4

Answer: Original value: 0.076952

Value (with 3 decimal places): 0.077

Step-by-step explanation: hope this helps

By analyzing and understanding the graph of the absolute value function, we find that the function evaluated at the x-value equal to 1 is equal to the y-value equal to 3.

In this problem we find the representation of an absolute value function, where the horizontal axis corresponds to the values of the domain, whereas the vertical axis is for the values of the range. In that picture we must look up for the y-value associated with a given x-value.  

Then, we proceed to evaluate the absolute value function at x = 1. In accordance with the graph, the y-value , that is, from the vertical axis, associated with the x-value, that is, from the horizontal axis, equal to 1 is equal to a value of 3.

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The length of the segment CA is 7.

Length of the segment

Basically, length of the line segment is fixed, which is the distance between two fixed points.

The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.

Given,

A is lies between C and T.

Then the values of CT = 25 and AT = 18.

Now we have to find the length of the segment CA.

Consider the point C, A and T are in straight line.

Then A lies between C and T.

So, it is the center point between C and T.

Here we have the length of total line that is

=> CT = 25.

And the length of AT, that is

=> AT = 18.

Then we need to find the length of the segment CA,

By subtracting the length of AT from the total length CT,

That is,

=> CA = CT - AT

Apply the values,

=> CA = 25 - 18

=> CA = 7.

Therefore, the length of the segment CA is 7.

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The function F to be used to convert the temperature is; F = ⁹/₅C + 32

From the given information, we can tag the coordinates as;

(32,0) and (212,100)

Thus, the slope is calculated as;

m = (100-0)/(212-32)

m = 100/180

m = 5/9

The intercept is;

c = y - mx

c = 0 - (5/9)(32)

c = 0 - 160/9

c = -160/9

The line equation is;

y = 5/9 x + (-160/9)

y = 5/9 x - 160/9

y = 5/9 (x - 32)

Let x = F and y = C and we have;

F = ⁹/₅C + 32

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Answer: p = 4s

Step-by-step explanation:

     The perimeter is the measurement around a shape's sides. In other words, if a square has four sides, we will add up all the sides to find the perimeter.

      Since a square's sides are all congruent, we can multiply the length of one side (s) by 4 to find the total perimeter (p). This becomes:

      p = 4s

Step-by-step explanation:

2a: Domain [3,7] Range: [1,5]

2b: domain: (-infinity, 1] Range: All real numbers

2c: domain [-3, 6] range [-4,2]

2d: (-infinity,-2] U (2, infinity] range: [0, infinity)

2e domain is [0, infinity) range is all real numbers

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

Speed is simply distance traveled per unit time.

Speed = distance / time

Given the data in the question;

First, convert the unit of distance from miles to meter.

Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m

Now, plug the values into the equation and solve for time.

Speed = distance / time

4.25m/s = 42164.708m / time

Time = 42164.708m ÷ 4.25m/s

Time = 9921.1077647s

Next, convert to hours,

Time = 9921.1077647 ÷ ( 60 × 60 )

Time = 9921.1077647 ÷ 3600

Time = 2.76 hours

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

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The percentage change is 2.1%

The Yankees won 95 games in 2010

They also won 97 games in 2011

Therefore the percentage change can be calculated as follows

= 97 - 95/97 × 100

= 2/97 × 100

= 0.021 × 100

= 2.1

Hence the percentage change is 2.1%

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Answer:

a

Step-by-step explanation:

the unknown value is n then 3 less than this value is

n - 3

Answer:

answer is C

because other equations normally n>3 but C equation normally is n<3

so answer is C