What is the difference between the solution of a linear
equation and the solution to a linear inequality?

Answers

Answer 1
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

Related Questions

Which of the following is the midpoint of a line segment with endpoints -4 and 7? Options are -3 0 1.5 5.5 thanks <3

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Explanation:

-4  -3  0  1.5  5.5  7

this is because the median is 1.5 and if you cross out every number from each number u'll find urself with 1.5.

ex:

-4 -3 -2 -1 0 1 2 3 4 5 6 7

-3 -2 -1 0 1 2 3 4 5 6

-2 -1 0 1 2 3 4 5

-1 0 1 2 3 4

0 1 2 3

1 2

and in between 1 and 2 is 1.5 so 1.5 is ur answer

i hope this helped <3

5. Francisco enjoys scuba diving. He descends 7 feet below sea level. He descends the same
distance 5 more times. What is Francisco's final elevation? Explain using 2-3 sentences how you
got to your answer.

Answers

Answer:

35

Step-by-step explanation:

I got my answer by multiplying the sea level he descended to the number of time he descended.

how would three billion nine hundred six thousand twelve be written in standard form 3976012 3000976012 3009760012

Answers

Answer:

30906012

Step-by-step explanation:

Find the ratio y:x, if 3x=11y,

Answers

Answer:

3:11

Step-by-step explanation:

3x=11y

Rearrange to the format of the ratio.

11y = 3x

Let's find y/x. y/x is y:x.

11y = 3x

Divide both sides by 11.

11y/11 = 3x/11

y = 3x/11

NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.

y = 3x/11

y/x = (3x/11)/x

y/x = (3x/11) * 1/x

y/x = 3/11

Therefore, y:x = 3:11

Please thank, rate 5 stars, and give brainliest. Thank you.

QUESTION 1 1 POINT
Factor: 27m3
64.
Provide your answer below:
Content attribution

Answers

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2} + 12m + 16)}}}}[/tex]

Step-by-step explanation:

[tex] \sf{27 {m}^{3} - 64}[/tex]

[tex] \dashrightarrow{ \sf{( {3m)}^{3} - {(4)}^{3} }}[/tex]

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

[tex] \longrightarrow{ \sf{(3m - 4)(3 {m}^{2} + 3m \times 4 + {4}^{2} }})[/tex]

[tex] \longrightarrow{ \sf{(3m - 4)( {9m}^{2} + 12m + 16}})[/tex]

Hope I helped!

Best regards! :D

0.000487 in scientific notation

Answers

Answer:

4,87×10⁴ thats the answer:)

Answer:

[tex]10^{4} x 4.87[/tex]

Step-by-step explanation:

Which symbol correctly compares the two fractions?

Use >, <, or =.

Enter your answer in the box.

5/12
3/6

Answers

Answer:

5/12<3/6

Step-by-step explanation:

3/6 is 1/2 and 5/12 is smaller than 1/2

Answer:

5/12 < 3/6

Step-by-step explanation:

3/6 is equivalent to 6/12 because 3 times 2 is 6 and 6 times two is 12. 6 (the new numerator of 3/6) is greater than the numerator of 5/12- 5. 5<6. They have the same denominator so 5/12< 6/12 which is the same as 5/12 < 3/6. Hope that helped!

Is this answer correct?

Answers

that’s the correct answer

Answer:

YES

Step-by-step explanation:

PLEASE MARK AS BRAINLIST ANSWER

"759,993 rounded to the nearest hundread

Answers

Answer:

760,000

Step-by-step explanation:

759,993

we round 993 up to 1,000

of the following options, what could be a possible first step in solving the equation x + 6 = 3x -2

Answers

Step-by-step explanation:

X + 6 = 3x - 2

Bringing like terms on one side

6 + 2 = 3x - x

8 = 2x

8/2 = x

4 = x

Answer:

subtracting 6 from both sides

Step-by-step explanation:

Which best describes the association shown in the scatter plot?

Answers

Answer:

A- Strong Positive

Step-by-step explanation:

hopes this helps

Answer:

strong positive

Step-by-step explanation:

unit rate of the given quantities
16 skiers on 4 boats

Answers

Answer: 16/4

Step-by-step explanation: all you do is convert it into a fraction

Which diagram shows plane C and plane D intersecting at ←XY→?

Answers

Answer: The bottom left option.

Step-by-step explanation:

←XY→ is the line that connects the points X and Y.

The fact that the planes C and D intersect at this linea, means that all the points where the planes are intersecting are points in the given line.

Then the correct option is the bottom left one, because the planes D and C are intersecting in a line, and the line passes through the points X and Y, so that line is called ←XY→.

Solve the problem.
7/8 - 6/7 =

Answers

Answer:

1/56

Step-by-step explanation:

Answer:

1/56

Step-by-step explanation

First, find the common denominator

8 x 7 = 56

7 x 8 = 56

Your new equation is now:

7/56 - 6/56 = 1/56

How do u calculate these numbers from least to greatest 0.02, 0, 6.98, 2 1/16, 2.2, 6.89, 2.01

Answers

Answer:

0, 0.02, 2.01, 2 1/16, 2.2, 6.89, 6.98

Step-by-step explanation:

First thing is to turn 2 1/16 into decimal form which is 2.0625

Then look at the digit to the left of the decimal, 0 is the least, then 2, then 6

Test Review that I cannot understand

Answers

Answer:

I will help you with the first one

Step-by-step explanation:

x=  -3  -2  -1  

y=  -4  -3  -2.59

Can anyone answer these? (BRAINLIEST)

Answers

Answer:

55, 116, and 120

Step-by-step explanation:

5. a. alternate exterior b. 55

6. a. corresponding b. 116

7. a. alternate interior b. 120

I haven't done this kinda math in a while, but im positive it's right. Good luck! :)

A 7 volume numbered set of books is placed randomly on a shelf. What is the probability that the books will be numbered in the correct order from left to right?

Answers

Answer:

The probability of them being in the right order would be a fraction of 1/7

yes what the other person said 1/7

Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned receive or lose overall?​

Answers

Answer:

86 is his final grade. He lost 24 points and gained 10 points .

Step-by-step explanation:

There are 25 questions total. Assuming that answering all 25 questions correctly earns you a 100.

Mrs Perry shares out 21 biscuits between
Gemma and Zak in the ratio 1 : 6
How many biscuits does each child get?
biscuits.
Gemma gets
biscuits and Zak gets

Answers

Answer:

Gemma gets 3 biscuits

Zak gets 18 biscuits

Step-by-step explanation:

1:6 = 1+6

= 7

1/7 * 21 = 3

6/7 * 21 = 18

Step-by-step explanation:

x+6x=21

7x=21

x=3

6x=3×6= 18

Gemma gets 3 and Zak got 18

Evaluate the expression when a=-7 and x=2.
a-6x
.
х
5
?

Answers

Answer: 15

-7 - 6 - 2

This is the same as 7 + 6 +2, but negative due to the sign.

So, -15.

Answer:

-19

Step-by-step explanation:

a-6x

(-7)-6(2)

-7-12

-19

Jennifer is a runner and ran a 10k last weekend. The function t=7k represents the relationship between kilometers, k, and the total running time, t. What is a reasonable range for this situation?

Answers

Answer:

We know that Jennifer ran 10k last weekend.

Now, we have the function:

t = f(k) = 7*k

(notice that this is a linear function)

First, let's define what is the range.

The range is the possible values that the outcome, t, can take.

To see the range, we first must see the domain (the possible values of of the input)

In this case, we know that the minimum value of k is 0 (the time to run 0 kilometers)

t(0) = 7*0 = 0

Here we found the minimum of the range.

Now, the maximum value in the domain is 10 (because she ran 10km, we can not have a value of k larger than 10)

The time is:

t(10) = 7*10 = 70

This will be the maximum of the range.

Then the range can be written as:

R = [0, 70]

-1+(-8) is how many units away from 4 on the number line

Answers

Answer:

13 units

Step-by-step explanation:

-1 + (-8) = -9

|-9| = 9 + 4 = 13

(-9) is 13 units from 4

Hopefully this helps you :)

pls mark brainlest ;)

find the l.c.m of 2,4,6 and 8​

Answers

Answer:

24.

Step-by-step explanation:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

4 , 8 , 12, 16, 20, 24

6, 12, 18, 24

8, 16, 24

Looking at the multiples of these numbers, we choose the multiple they all have in common. I usually do this for the two biggest numbers, (8 and 6;) and check my work with the others. If you would like more examples from me or need extra help, feel free to ask! I am on Brainly replying to questions and comments from 1 pm - 2 pm EST. Hope this helped!

The system shown below is
.
x + 3y = 4
3x + 9y = 12

Answers

Answer:

Consistent and Dependent

Step-by-step explanation:

Just did the question

The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 275 - 16t^2.

(a) Find the average velocity of the pebble for the time period beginning when t − 4 and lasting (i) 0.1 seconds (ii) 0.05 seconds (iii) 0.01 seconds (b) Estimate the instantaneous velocity of the pebble after 4 seconds.

Answers

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

[tex]AV = \frac{y(t2) - y(t1)}{t2 - t1}[/tex]

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6[/tex]

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8[/tex]

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

[tex]AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16[/tex]

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

a). The average velocity of the pebble for the time period would be:

i). [tex]-129.6[/tex]

ii). [tex]-128.8[/tex]

iii). [tex]-128.16[/tex]

b). The instantaneous velocity of the pebble post 4 seconds would be:

[tex]-128[/tex]

a). We need to find the average velocity,

i). [tex]t1 = 4s, t2 = 4s + 0.1s = 4.1s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

by putting the values,

[tex]= y(4.1) - y(4) / 4.1 - 4[/tex]

[tex]= 275 - 16(4.1)^2 - 275 - 16(4)^2 / 0.1[/tex]

[tex]= 275 - 16*16.81 - 275 - 16(16) / 0.1[/tex]

[tex]= 6.04 - 19 / 0.1[/tex]

[tex]= -12.96 /0.1[/tex]

[tex]= -129.6[/tex]

ii).  Now,

[tex]t_{2} = (4 + 0.05 = 4.05s)[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.05) - y(4) / 4.05 - 4[/tex]

 [tex]= -6.4 / 0.05[/tex]

[tex]= -128.8[/tex]

iii). Now,

[tex]t_{2} = 4.01s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.01) - y(4) / 4.01 - 4[/tex]

 [tex]= -1.28 / 0.01[/tex]

[tex]= -128.16[/tex]

b). Instantaneous velocity

[tex]y = 275 - 16t^2[/tex]

[tex]dy/dx = -32t[/tex]

Considering [tex]t = 4[/tex]

Instantaneous velocity post 4 seconds [tex]= -32(4)[/tex]

[tex]= -128[/tex]

Learn more about "Velocity" here:

brainly.com/question/18084516

Hello i need help. ​

Answers

Answer:

477,900

Step-by-step explanation:

477,900 is the answer

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by: P(x)=-12x^2+120x What current will produce the maximum power?

Answers

Answer:

A current of 5 amperes will produce the maximum power.

Step-by-step explanation:

Let be [tex]p(x) = -12\cdot x^{2}+120\cdot x[/tex], where [tex]p(x)[/tex] is measured in watts and [tex]x[/tex] in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:

First derivative

[tex]p'(x) = -24\cdot x + 120[/tex]

Second derivative

[tex]p''(x) = -24\cdot x[/tex]

Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)

[tex]-24\cdot x + 120 = 0[/tex]

[tex]x = 5\,A[/tex]

The only critical point is [tex]x = 5\,A[/tex].

As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)

[tex]p(5)'' = -24\cdot (5)[/tex]

[tex]p''(5) = -120[/tex]

Which indicates that critical point leads to an absolute maximum.

A current of 5 amperes will produce the maximum power.

Answer: 5

Step-by-step explanation:

khan

y = 1/9 * x - 8 what is the slope ?

Answers

Answer:

1/9

Step-by-step explanation:

the slope is m in y=mx+b

hope this helps!

Which expression represents the prime factorization of 484?​

Answers

Answer: 2*2*11*11

Step-by-step explanation:

484 = 2 times 242 = 2 times 2 times 121 = 2 times 2 times 11 times 11.

"*" = mean multiply/times.

2*2*11*11

2*2*11*11

HOPE THIS HELPED!

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