what are systems of equations and inequalities definitions?

Answers

Answer 1

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D


Related Questions

Please help! I need this answer right ! And I’m unsure can you LMK ASAP???

Answers

Answer:B

Step-by-step explanation:

On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?

Answers

Answer:

40%

Step-by-step explanation:

Initial number of hours = 5Increased number of hours = 7

Change:

7 - 5 = 2

Percent change:

2/5*100% = 40%

hlp help help plsssssssssssss

Answers

Answer:

A

Step-by-step explanation:

Think about the square root of 64, which is 8. It will only be slightly higher than 8, which will not even be .5, so 8 is the closest number.

is it possible to have the ordered number pair 3;7 on the graph​

Answers

Answer:

Yes it is possible. Start at (0,0) which is the orgin and go right on the x-axis 3 spaces, and go up on the y-axis 7 spaces to get to the ordered pair of (3,7).

Step-by-step explanation:

Which represents a quadratic function?

Answers

Answer:

B

Step-by-step explanation:

a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.

b is a quadratic The highest power is 2 on the base (x)  to become x^2. That is how a quadratic is defined.

c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into  (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.

d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.

Math question: Solve for y: 2x-y=3

Answers

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:

[tex]-y=-2x+3[/tex]

After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:

[tex]y=2x-3[/tex]

please help!!!!! simplify

Answers

Answer:

Pretty sure it's B

Step-by-step explanation:

Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___

Answers

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

What is sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

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Find the measure of the exterior angle.

Answers

the sum of all interior angles must be 180, we know that angle t increases by 10 therefore t is equal to 50° and angle t + 20° is equal to 70°

next we can see that the two angles form a 180° angle meaning the measure of the exterior angle is 180° - 70° or 110°

Help me please thanks

Answers

Answer:

64 square cm

Step-by-step explanation:

(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)

Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.

8 x 6 = 48 square cm

Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?

So 1/2 (4)(8)= 1/2(32) = 16 square cm

Then we add 16 + 48 = 64 square cm

What two numbers multiply to -5 and add to 4?

Answers

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

Martin recorded the low temperatures at his house for one week. the temperatures are shown below -
-7, -3, 4, 1, -2, -8. 7
Approximately what was the average low temperature of the week?

Answers

Answer:

The average temp was 4

Step-by-step explanation:

plssss help

answer it plssssssssss​

Answers

k= 28/5
yeah yeah yeah

2/3 x 6 need help asap​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

Paul uses a coordinate plane to design his model town layout. Paul moves the market 2 units left and 3 units down. He says the ordered pair for the new location of the market is (0, 6). Explain Paul's mistake and write the correct ordered pair for the new location of the market.

Answers

Answer:

(1,5) because, before it was at (3,8) and  

3 – 2 = 1      

8 – 3 = 5

For further explanation:

(3,8) / (2,3) = (1,5)

2 for 2 units left and 3 for 3 units down

are these proportional?

3/2 and 18/8

Answers

Answer:

For two fractions to be proportional, they must be equivalent. 32=1.5 and 188=2.25 , so these fractions are not proportional.

Step-by-step explanation:

a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?​

Answers

The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

What are a cone and a cylinder?

The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.

A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.

It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-

The lateral area of the cone = πr√(h²+r²)

The lateral area of the cylinder = 2πrh

The ratio will be calculated as:-

R = πr√(h²+r²)  /   2πrh

R = √(h²+r²) / 2h

Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

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A skyscraper that stands 620 feet cast of shadow that is 125 feet long. What is the ratio of the shadow to the height of the skyscraper?

Answers

Your answer is 124/45
Shadow = 125
Height = 620
Ratio = 125:620
You can simplify to 25/124

A decagon.
Gregory drew this regular decagon. All angles have the same measure.

What is the sum of the interior angle measures?


°
What is the measure of each angle?


°

Answers

Answer:

78

Step-by-step explanation:

Answer:

1440 and 144 on edg 2020-2021

Step-by-step explanation:

If Thomas maintains a rate of 20 miles per hour riding his bicycle in a rally that covers 24 miles, how long will it take him to complete the race?
O 2 hours
O 1.2 hours
O 0.8 hours
O 2.4 hours​

Answers

Answer:

1h=20m

60/4

0,25min+1h

1+0,25

=1,2

He will complete the race in 1.2 hours time.

Hence, option B is correct.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that,

The distance completing in 1 hour = 20 miles

So 1 miles of distance is covered in = 1/20 hours

It is also given that,

The distance of rally = 24 miles.

Therefore,

The time taken to cover 24 miles = 24/20

                                                        = 1.2

Thus,

The required time = 1.2 hours

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Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden?

Answers

Answer:

48 and 9

Step-by-step explanation:

36/x + 5x-36/x+3 = 5-0.25

Answer:

9 and 48 km/hr

Step-by-step explanation:

The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used

Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.

Use completing the square to find the equation of the following circle in standard form.

x2 + y2 - 4x + 12y - 16 = 0

Answers

Answer:

Here's a calculator that should help

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php

Please help due two days ago helpp me please Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer. calculate the value of the most appropriate center value of the heights.

Answers

Answer:

I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.

I'm not 100% sure so try at your own risk

Have a great day!

The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

What is Measures of center?

Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".

What is mean?

Mean is the process of "adding all values and then divided by total number of values".

What is median?

Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle  point is the median or if 'n' is even then sum of two mid value and then divided by two".

What is  Mode?

Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".

According to the question,

Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.

Heights in inches                       Frequency

         55                                             1

          57                                              3

          58                                             3

          59                                              2

          60                                              1

          61                                               3

          62                                              3

          63                                              2

          64                                              2

          65                                              2

          66                                              1

           67                                              1

Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12

Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.

= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]

= [tex]\frac{1399}{24}[/tex]

= 58.29.

Mean of heights of siblings are 58.29

Median of the height of 24 siblings are sum of 61 and 62 divided by 2.

= [tex]\frac{61+62}{2}[/tex]                           [since 'n' is odd]

=61.5.  

Median of the height of 24 siblings are 61.5.

Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

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(please help)!!!!!!!!!!!!!!

Answers

Answer

use trigonometry to find both the answers.    

i have done the working out in the picture hope it helps...

Step-by-step explanation:

The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm

Answers

The answers are A and B.
The answer is a and b

please help is it 2/9?​

Answers

Answer:

7/9    

Step-by-step explanation:

7/9

Answer:

7/9

Step-by-step explanation:

Brainliest maaaybe? :)

help me find the answer please​

Answers

Answer:

A x<1125

Step-by-step explanation:

Express as a trinomial.
(x – 3)(3x – 8)
Please do this ASAP i need HELP

Answers

Answer:

3x^2 - 17x + 24

Step-by-step explanation:

(x – 3)(3x – 8)

3x^2 + (-8x) + (-9x) + 24

3x^2 - 17x + 24

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

What is 14 + 6 =
+11

Answers

Since, 14 + 6 = 20

Therefore, 14 + 6 = 9 + 11

dont forget to like and mark me

Answer:

31

Step-by-step explanation:

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