Find the value of the variables.

B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.

Let's check each option:

A. (-1,3)

The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.

The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.

B. (0,2)

The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.

The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.

C. (1,2)

The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.

D. (2,-1)

The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.

The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.

E. (2,2)

The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.

Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).

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Answer:

D

Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

Answer: yesterdays price was $700

Step-by-step explanation:

$497 = 71% of the RP (100 - 29)

RP*0.71 = 497

RP = 497/0.71

RP = $700

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

Answer: B

Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

In this problem:

Applying the concept for both the x and y-coordinates, we have that:

[tex]\frac{x + 2}{2} = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = -2[/tex]

[tex]\frac{-5 + y}{2} = -3[/tex]

[tex]-5 + y = -6[/tex]

[tex]y = -1[/tex]

The coordinates of B are (-2, -1).

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Answer:

10) SAS

12) SAS

13) SSS

11) ASA

14) ASA

Answer:

10. none

11. AAS

12. SAS

13. SSS

14. SAS

15. ASA

Step-by-step explanation:

I'm not going into detail of each question... I have a 101 in geometry right now though and I've already done triangles, so just trust me on this one.

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

Answer:

$10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Direct variation equation:

Given:

The equation is:

Find the value of x when y = 168:

Answer:

About 29%

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then

∠ E = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°

(2)

Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then

12y = 60 ( divide both sides by 12 )

y = 5

(3)

The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then

KL = JL , that is

4t - 8 = 2t + 1 ( subtract 2t from both sides )

2t - 8 = 1 ( add 8 to both sides )

2t = 9 ( divide both sides by 2 )

t = 4.5

(4)

Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is

AB = AC

4x + 1 = 9 ( subtract 1 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Then

perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9

                                            = 6x + 13

                                            = 6(2) + 13

                                            = 12 + 13

                                            = 25

Answer:

full

Step-by-step explanation:

screen

Answer:

The required equation is:

Step-by-step explanation:

I think that's the answer

The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.

Given that car is moving at a constant speed.

Distance travelled by car = 936 feet

Time taken to travel the distance = 8 seconds

Speed = Distance / Time

           = 936 / 8

           = 117 feet per second

So the car will be moving at a speed of 117 feet per second at any time t.

Distance of car at any time is,

Distance = Speed × Time

d = 117 × t

d = f(t) = 117t

Hence the linear function which models the relationship between d and t is d = f(t) = 117t.

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Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

Answer:

Line 1 is D

Line 2 is I

Line 3 is B

Line 4 is F

Step-by-step explanation:

Find the slope of each line to get these answers, and when you see an equation like y=3x+1 it means that 1 is the y intercept and 3 is the slope

Answer:

(5,34)

Step-by-step explanation:

Answer:y + x -6x (y -5x -2)

5x + 4x -3x (x)

2x + 3 - x -4 (x - 1)

Step-by-step explanation:

A=C

B=B

C=A

Answer:

1. (2^3)^3 = 2^x  x=9

2. 4^x  x = 6   5^y  y= 9

3. 3^6/3^3 = 3^x   x = 3

Answer:

Step-by-step explanation:

Multiplication is a see also of division. Division is a see also of multiplication.

As nouns the difference between division and multiplication is that division is (uncountable) the act or process of dividing anything while multiplication is (uncountable|mathematics) the process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects

Answer:

15

Step-by-step explanation:

Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.

Answer:

  (a)  Line 1

Step-by-step explanation:

The given point is only a solution to the equation for Line 1. This is shown in the attached graph.

__

You can put those values into each equation to see if it is satisfied.

1: -4 +2 = -2 . . . . this equation is satisfied.

2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied

(-4, 2) is a solution to the Line 1 equation only.

1 = Given

2 = Addition Property of Equality

3 = Division Property of Equality

Answer:

C

Step-by-step explanation:

If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.

Answer:

Go have fun at your Christmas party!

Multiple Choice= 2 points each

Short Response= 4 points each

Step-by-step explanation:

You can set up a system of equations to find out how many points each type of question is worth.

x= multiple choice

y= short response

Equation 1 (You)

23x+10y=86

Equation 2 (Your Friend)

28x+5y=76

Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.

-2(28x+5y=76)

-56x-10y=-152

Subtract both equations together.

23x+10y=86

-56x-10y=-152

-33x= -66

x=2

Now that we found x, plug it into the first equation to solve for y.

23x+10y=86

23(2)+10y=86

46+10y=86

10y=40

y=4

Each multiple choice is worth 2 points, and each short answer response is worth 4 points.