Determine whether the following relationship is a linear inequality or not

1. Y < 3

2. x ≥ 6

3. x² > -3

4. x -3 > 1/2

5. xy + 5 ≤ 7​

Answers

Answer 1

Answer:

What is a linear inequality ? A linear inequality has the same condition as a linear equality, but instead of the equal sign, we have for example this one ≤ wish means less than or equal to.

But what are the condition of a linear equality ? There are many ways of writing linear equations but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y") BUT the variables (x and y) on a linear equation do NOT have Exponents (like the 2 in x²) and square roots,

1. y < 3

Yes, this is a linear inequation. Frequently, the term linear equation refers implicitly to the case of just one variable (here y).

2. x ≥ 6

Yes.

3. x² > - 3

No, remember the rule the variable (here x) must not have exponents.

4. x - 3 > 1/2

Yes.

5. xy + 5 ≤ 7

This one is nice. If both x and y are variables then the answer is no, it's not a linear inequation. Why ?The linear equation is a sum of terms like "Ax" where x is a variable, and A is a number or a constant. On the other hand if x or y was a constant (like e or π), it could be treated as a number and the whole expression would become linear.

You can also have fun and write :

xy ≤ 2

for y > 0 we write:

x ≤ 2/y

x ≤ 2[tex]y^{-1}[/tex]

and then simply say exponents are not allowed so not a linear inequation.


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What is the future value of $500 to be received 3 years from now if the discount rate is 10%?

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i’m pretty sure it’s $350

Find the area of the triangle with the following measurements:

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Answer:

56.25

Step-by-step explanation:

(9x12.5)÷2

just use a c calculator

look at the image below

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The area of a circle is πr^2
So π(3)^2
= 28.3

I apologize in advance if this is wrong

At the movie theatre, child admission is $5.80 and adult admission is $9.70. On Wednesday, 171 tickets were sold for a total sales of $1296.00. How many
child tickets were sold that day?

Answers

Answer:

93 child tickets

Step-by-step explanation:

Create a system of equations where c is the number of child tickets sold and a is the number of adult tickets sold:

c + a = 171

5.80c + 9.70a = 1296.00

Solve by elimination by multiplying the top equation by -9.7:

-9.7c - 9.7a = -1658.7

5.8c + 9.7a = 1296

Add these together and solve for c:

-3.9c = -362.7

c = 93

So, 93 child tickets were sold.

Ayudaaaaaaaa plorafacvor

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4/24,7/5,5/3,3/5 espero hallude

Please help. Question #12

Answers

Answer:

Step-by-step explanation:

estimate the value of -50 by plotting it on a number line
[tex] - \sqrt{50} [/tex]
how to plot -50 on a number line​

Answers

Answer:

Step-by-step explanation:

Never mind the minus for a second. What is the approximate value of sqrt(50)?

Isn't it about 7 or just a tiny bit over?

That's the answer here. Find the square root first, and then add the minus.

<o==o==o==o==o==o==o==o

  -7  -6  -5  -4  - 3  - 2  - 1    0

Aidan has four cards with +, -, x, ÷ printed on them.

He inserts them between the five numbers 5, 4, 3, 2 and 1 to form the expression 5 + 4 x 3 -2 , which the value 15.

Emma says:

"Aidan put the operation in the order +, -, x, ÷.
If I place the operation cards in a different order between the number 5, 4, 3, 2, 1. I can make the value equal to 19."

Which operation would Emma do first?

Answers

9514 1404 393

Answer:

  multiply (×)

Step-by-step explanation:

5 ×4 - 3 +2 ÷1 = 19

Emma would place the multiply (×) operation first.

*PLEASE HELP ME ILL GIVE BRAINLIST IF CORRECT*

Noah is playing a game where he must spin two wheels, each with 9 equal slices. There are 3 red slices, 3 green slices, 2 blue slices and 1 yellow slice on each wheel. If Noah spins and lands on a yellow slice on both wheels he wins, but if he lands on any other color, he loses. This information was used to create the following area model.


Is this a fair game? Why or why not?

A. Yes, the game is fair because Noah has equal probabilities of winning or losing.

B. Yes, the game is fair because Noah does not have equal probabilities of winning or losing.

C. No, the game is not fair because Noah has equal probabilities of winning or losing.

D. No, the game is not fair because Noah does not have equal probabilities of winning or losing.

Answers

Step-by-step explanation:

Yes, the game is fair because noah has equal probabilities of Winning

Answer:

No, the game is not fair because Noah does not have equal probabilities of winning or losing.

Step-by-step explanation:

Find the missing side of the triangle.

Answers

Answer:

x = 2(sqrt26) or x = 10.1980390272...

Step-by-step explanation:

Right triangles can be solved using Pythagorean theorem, where the legs are squared and added together to get the hypotenuse's length squared.

If we set up the equation:

11^2 + x^2 = 15^2

which is

121 + x^2 = 225

subtract 121 from both sides

x^2 = 104

sqrt  both sides

x = 2(sqrt26), or x = 10.1980390272...

Answer:

Using Pythagoras theorem

c²=a²+b²

(15)²=x² +(11)²

225=x²+ 121

-x²=121-225

-x²=-104

multiply both sides by (-1)

x²=104

x=✓104

x=10ft

A bag contains 3 red, 5 blue, and 4 white marbles. If a marble is drawn from the bag, not replaced, and another is drawn, what is the probability of selecting a white and then blue marble?

Answers

Answer:

5/33

Step-by-step explanation:

The probability of selecting a white marble is 4/12 = 1/3(because we have 4 white marbles and 12 marbles in total )

The probability of selecting a blue marble is 5/11 (because we have 5 blue marbles and 11 marbles left(1 has been drawn already) )

Probability of selecting a white and then blue marble equals 1/3*5/11 = 5/33

Help me please! thanks

Answers

9514 1404 393

Answer:

  5. (a) Polygon Angle-Sum Theorem

  6. (c) 360°

Step-by-step explanation:

5. The sum of the angles is shown as 540°. The theorem that tells you the sum of angles in an n-gon is the "polygon angle sum theorem."

__

6. The sum of exterior angles around any (convex) polygon is 360°. (This is where the angle-sum theorem comes from.)

If path has 56 marbles and he gave Sandra 34 how many marbles will he have left?​

Answers

Answer:

22

Step-by-step explanation:

You just subtract them

56-34

= 22

56-34= 22
Therefore your answer is 22

For which indicated domain are both the inequalities x > 2 and
x < 4 true?

Answers

Answer:

C.

2 must be less than x if x is greater than 2, and x must be less than 4 if 4 is greater than x.

How far from "0 is the green rectangle?

Answers

Answer:

3 1/2

Step-by-step explanation:

Rectangle is located at 3 but 2/4 between 3 & 4.

Simplify 2/4

1/2



Ed makes $11.50 an hour. This week he worked 36 regular hours and 7 hours at time and a half?

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494.5 (might be wrong-)

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

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Answer:

8192

Step-by-step explanation:

2 cells at beginning, so the equation is (2)*(2^(4t)) where t is in hours. At the end of 3 hours, the cells will be 2*(2)^(12)=8192

1. Find the distance between the points A(1,0) and B(0,0).​

Answers

Answer:

1

Step-by-step explanation:

Since the y value is the same, we only need to find the distance between the x points

1-0 = 1

The distance between the point is 1

Answer : 1 unit.

Explanation: Since ( 0,0 ) is at 0 on the x axis, ( 1,0 ) is one unit to the right of 0, 1.

4 trillion = 4x 10million missing exponent

Answers

Answer:

3

Step-by-step explanation:

im pretty sure


Yoooooooooooooooooooooooooooooooooooooooo

Answers

9514 1404 393

Answer:

  C  v = √(2KE/m)

Step-by-step explanation:

Solve for v.

  [tex]KE=\dfrac{1}{2}mv^2\qquad\text{given}\\\\\dfrac{2KE}{m}=v^2\qquad\text{multiply by $\dfrac{2}{m}$}\\\\\boxed{v=\sqrt{\dfrac{2KE}{m}}}\qquad\text{take the square root}[/tex]

cách tính tổng
12+25+45+65+34

Answers

12+25+45+65+34

= 181

Must click thanks and mark brainliest

Help me with this please #17

Answers

9514 1404 393

Answer:

  C. symmetric with respect to the origin

Step-by-step explanation:

A graph must pass the vertical line test to be called the graph of a function. No function will ever be symmetrical with respect to the x-axis, because that would mean it fails the vertical line test.

An even function is symmetrical about the y-axis. An even function has the characteristic that ...

  f(-x) = f(x) . . . . an even function

An odd function is symmetrical about the origin. An odd function has the characteristic that ...

  f(-x) = -f(x)

__

The given function is f(x) = -1/x. Then the value of f(-x) is ...

  f(-x) = -1/-x = 1/x = -f(x)

The given function is an odd function, so is symmetrical about the origin.

Identify the slope and y intercept of the line with equation 2y = 5x + 4

Answers

Answer:

Slope is 5/2

y-intercept is 2

Step-by-step explanation:

Turn the equation into slope intercept form [ y = mx +  b ].

2y = 5x + 4

~Divide everything by 2

y = 5/2x + 2

Remember that in slope intercept form, m = slope and b = y-intercept.

Best of Luck!

Answer:

slope: 2.5

y-intercept: 2

Step-by-step explanation:

First isolate the y variable which changes the equation to y=2.5x+2

The equation of a line is mx + b where m is the slope and b and the

y-intercept. Leading us to conclude that 2.5 is the slope and 2 is the y-intercept.

Х
30°
Calculate the size of angle x.
angle x =
I

Answers

If one Angle is = 30

And the other two angles are equal

Given: x = l

ATQ

⇒30+x+l= 180

⇒x + x = 180-30

⇒2x = 150

⇒x = 150/2

⇒x = 75

Therefore x = 75

And the angles are 30, 75 and 75

Must click thanks and mark brainliest

Find the distance between the origin and the points (-8, 4)

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Answer:

poop everyday and night

Step-by-step explanation:

cool kid

Hence, the distance is 17 units.

Solve for x. Round your answer to two decimal places. Show your work for full credit.

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Answer:

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State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 5 protein and 3 fat units at $5/bag. Feed type II provides 4 protein and 4 fat units at $3/bag. Which mixture fills the needs at minimum cost

Answers

Answer:

Step-by-step explanation:

Let x and y represent the quantities of feed type I and feed type II, respectively.

Constraints

  5x +4y ≥ 10 . . . protein requirements

  3x +4y ≥ 8 . . . . fat requirements

  x ≥ 0, y ≥ 0 . . . can't have negative quantities

Objective Function

  Minimize 5x +3y

__

The graph shows the solution to be ...

  2.5 bags of Feed Type II will fill the need at minimum cost.

M is the midpoint of HA. The coordinate of His
(3x + 5,3y) and the coordinate of A is (x-1, -y). What is
the coordinate of M?

Answers

H=(3x+5,3y) A=(x-1,-y)

Step-by-step explanation:

ANSWER:(2x+2,y)

Please help me I am desperate

Answers

Answer:

4 vertices.

6 edges.

Step-by-step explanation:

Vertices are the points where the edges meet.

Edges are the lines where the faces meet.

What is the product of all values of b that satisfy (b-2)(b-8) +4= 0 ?
A) 10
B) 12
C) 16
D) 20

Answers

Answer:

D

Step-by-step explanation:

(b-2)(b-8)+4=0

b^2-10b+16+4=0

b^2-10b+20=0

Product of roots is given by c/a=20. So the answer is 20

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