how do I solve x+6y=36

Answer:

y>2x+1

Step-by-step explanation:

1. there is 'y=2x+1' graph is represented.

2. the shaded reqion is y>2x+1.

The correct linear inequality represented by the graph is y > 2x + 1. The correct option is C.

An inequality is a mathematical statement that compares two values or expressions and shows their relationship using the symbols < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).

To see why, note that the line shown in the graph has a y-intercept of 1 and a slope of 2 (i.e., it passes through the points (0,1) and (1,3)).

If we plug in any point above this line, we get a y-coordinate that is greater than 2x + 1. For example, if we plug in the point (2,6), we get:

6 > 2(2) + 1

6 > 5

All points above the line satisfy the inequality y > 2x + 1.

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The length of AC must be 3 cm letter B

Second question

Both B and C are correct.

We have the following:

The first thing is to transform the mixed numbers to decimal numbers, in the following way:

a.

to calculate the remaining time we must subtract the times where music is heard from 6 hours

Therefore, the answer is 2.5 hours or 5/2 hours battery remaining

b.

To calculate the fraction we must calculate that it represents 2.5 or 5/2 hours in the total, that is, 6 hours

The diagram is:

Answer:

x y (x, y)

0 -5 (0, -5)

2 5 (2, 5)

1 0 (1, 0)

Explanation:

To fill a table, we need to give values to the variable x and then calculate the values of y.

So, if x = 0, then y is equal to:

y = 5x - 5

y = 5(0) - 5

y = 0 - 5

y = -5

If x = 2, then y is equal to:

y = 5x - 5

y = 5(2) - 5

y = 10 - 5

y = 5

If x = 1, then y is equal to:

y = 5x - 5

y = 5(1) - 5

y = 5 - 5

y = 0

Therefore, the complete table would be:

x y (x, y)

0 -5 (0, -5)

2 5 (2, 5)

1 0 (1, 0)

Sort the list in increasing order:

The median is 13, therefore the upper quartile Q3 is given by:

Answer:

25

Using mathematical operations of addition, multiplication, division, and subtraction, the final score was:

K = 42 points

W = 51 points.

What are mathematical operations?

The basic mathematical operations for getting mathematical results from numbers, values, and variables include addition, multiplication, division, and subtraction.

In this situation, we apply these four basic mathematical operations.

Fizzy = 2 points

X = 5 points

Total scores = 93 points

The points in 8 Fizzy = 16 points (8 x 2)

The points in 5 X s = 25 points (5 x 5)

The equation showing the total scores of K = total scores + 16 - 25

= (93 + 16 - 25)/2

= 42 points

The equation showing the total scores of W = total scores - 16 + 25

= (93 - 16 + 25)/2

= 51 points

Hence, Final scores are K = 42 and W = 51.

Thus, applying mathematical operations, the final score shows that K scored 42 points while W scored 51 points, totaling 93 points for the two teams.

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Therefore the original price is $299

the selling price is $228

Given:

A parallelogram must be a rectangle.

If the diagonals are congruent then the parallelogram must be a rectangle.

Option B is the final answer.

y = (1/2)x² + 2x + 2 is the equation of the parabola in the graph.

From the graph, the parabola has a vertex at point (-2,0) and passes through point (0,2).

The general equation for a parabola with vertex is (h,k) is;

y = a( x - h)² + k

First we determine 'a' by substituting the given coordinates into the equation.

y = a( x - h)² + k

2 = a( 0 - (-2))² + 0

Solve for a

2 = a(2)²

2 = a( 4 )

a = 2/4

a = 1/2

Now, plug the vertex (-2,0) and a (1/2) into the general equation.

y = a( x - h)² + k

y = (1/2)( x - (-2))² + 0

Simplify

y = (1/2)( x +2) )² + 0

y = (1/2)( x + 2 )²

Expand using FOIL method

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

y = (1/2)( x² + 2x + 2x + 4 )

y = (1/2)( x² + 4x+ 4 )

Apply distributive property

y = (1/2)(x²) + (1/2)4x + (1/2)(4 )

y = (1/2)x² + 2x + 2

Therefore, the equation of the graph is y = (1/2)x² + 2x + 2.

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Answer:

first area is length by width

then our L is 4 and W is 5

=20

and volume is ,area 18 then 18 by 7=126

The capacitive reactance of the circuit with capacitance of 4 x 10⁻⁸ farad and the AC power source of 2 Khz is X[C] = 1.99 x 10⁻⁷ ohms.

The capacitance of a body is defined as the charge holding ability of a body. Mathematically, capacitance is the ratio of charge and potential as follows -

C = dQ/dV

Given is the total capacitance measures .04 microfarad. If the circuit is supplied by an AC power source operating at 2 kHz.

From this we can write -

Capacitance [C] = 0.04 microfarad = 4 x 10⁻⁸ farad.

Frequency of AC supply [f] = 2 KHz = 2 x 10³ Hz

The capacitive reactance is given by -

X[C] = 1/2πfC

X[C] = (1/2 x 3.14 x 2 x 10³ x 4 x 10⁻⁸)

X[C] = 1/(50.24 x 10⁻⁵)

X[C] =  0.0199 x 10⁻⁵

X[C] = 1.99 x 10⁻⁷ ohms

Therefore, the capacitive reactance of the circuit with capacitance of 4 x 10⁻⁸ farad and the AC power source of 2 Khz is X[C] = 1.99 x 10⁻⁷ ohms.

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The missing statements and reasons in the proof are 5) Δ AEB ≅ Δ CED and Δ AED ≅ Δ CEB, 5) By ASA rule and 6) AE ≅ CE and DE ≅ EB  

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, ABCD is a parallelogram, we need to prove that the diagonals of parallelogram ABCD bisect each other.

The proof is as follows,

Statement                                                                       Reason

1) AB CD and AD BC                                                        Given

2) ∠ 1 = ∠ 3                                                   When a transversal crosses

                                                                     parallel lines, alternate interior

                                                                            angles are congruent.

3) ∠ 2 = ∠ 4                                                   When a transversal crosses

                                                                      parallel lines, alternate interior  

                                                                            angles are congruent.

4) AB = CD                                                           Opposite sides of a

                                                                       parallelogram are congruent.

5) Δ AEB ≅ Δ CED

and Δ AED ≅ Δ CEB                                                By ASA rule

6) AE ≅ CE and DE ≅ EB                            Corresponding parts of

                                                           congruent triangles are congruent,

7) Point E bisects both AC and BD            Definition of bisector

Hence, proved.

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The segment AB is perbenticular to XY.

Here 90 degrees is an interior angle for Arc XB and Arc AY

Similarly, 90 degrees is an interior angle for Arc XA and Arc BY

$8860

$8860 is the amount that is reduced after 5 years for the principal amount of $20,000 at a rate of interest 15%.

Here ,

Given , P = $20,000

           r = 15% = .15%

           n = 5

since amount is getting decreased ,

formula of compound interest becomes,

   A = [tex]p(1 - r)^{n}[/tex]

here P = principal amount  , r = rate of interest and n = number of years.

      = 20000(1 - .15)⁵

      = 20000 x 0.443

      = 8860

 A = $8860

So , After paying $20,000 the value decreases by 15% after 5 yrs the value will be $8860.

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Answer:

hope this makes sense

Step-by-step explanation:

1.05 x 10x 10x10x10=10000000000

10500000000

10000000000= 1.05 x 1.05 ×10000000000= 10500000000

10500000000 = 1.05 x10 x10

Answer:

I'm just here for points :3

Step-by-step explanation:

I don't know math

1g of rice is taken from a bag containing 5kg of rice for cooking. The ratio of the amount taken out to the original amount is 5:1.

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Answer

Option C is correct.

(g o f)(4) = 196

Step-by-step Explanation

f(x) = 3x

g(x) = (x + 2)²

We are then told to find

(g o f)(4)

We need to first interprete what (g o f) means

(g o f) refers to writing g(x) with f(x) replacing x. That is, f(x) replaces all the x that the function given by g(x) has.

(g o f) = g[f(x)]

g(x) = (x + 2)²

g[f(x)] = [f(x) + 2]²

Recall that f(x) = 3x

g[f(x)] = [3x + 2]²

We can then go further now to obtain (g o f)(4)

(g o f)(x) = g[f(x)] = [3x + 2]²

(g o f)(4) = [3(4) + 2]²

= [12 + 2]²

= 14²

= 196

Hence, option C is correct.

(g o f)(4) = 196

Hope this Helps!!!

If the code for HTML is JVON, it means that:

letter 8th (H) is letter 10th (J). Letter 20th (T) is letter 22th (V) and so on.

It means that the encoding is taking the letter 2 positions forward.

Hence C=E, O=Q, M=O, I=K, T=V.

The answer is EQOOKV.

The probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.

As given,

Let us assume X is the event of the sum of two dice is even

Therefore

P(X) = The probability of having an even sum of two dice

Since all events are given in the question image, then

n(S) = Sample space = 36

X = {(1,1) , (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)}

n(X) = 18

Since

P(X) = n(A)/n(S)

P(X) = 18/36

P(X) = 1/2

Let us assume Y is the event of the sum of two dice is greater than 9, then

Y = {(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)}

n(Y) 6

P(Y) = n(Y)/n(S)

P(Y) = 6/36

P(Y) = 1/6

P(X∪Y) = P(A) + P(B)

= 1/2 + 1/6

= 4/6

= 2/3

Therefore,  probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.

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In the expression -3a + 5b - 15;

The constants are; -3, 5 and -15

The variables are; a and b.

A constant of an Algebraic Expression is simply a value that cannot be changed by inputting another value. For example in the algebraic expression; y³ = 4x³ - 7

The constants here will be 4 and -7 as they cannot be changed

Now, the variables in algebraic expressions are those that can be changed with different values and the equation will still be valid. For example, in the equation y³ = 4x³ - 7, the variables are y and x.

Thus, in our expression -3a + 5b - 15, the constants will be -3, 5 and -15 while the variables would be a and b.

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(1.57 x 10^5)-(9.5 x 10^4) The answer will be 62000 or Alternative form is 6.2 x 10^4

Given in the question:

(1.57 x 10^5)-(9.5 x 10^4)

To solve the above question:

Now, According to the question:

(1.57 x 10^5)-(9.5 x 10^4)

Factor Greatest Common Factors out :

10^4 (15.7 - 9.5)

Calculate the sum or difference

10^4 x 6.2

Express the number in scientific notation;

6.2 x 10^4

Calculate the power

6.2 x 10000

Calculate the product or quotient

62000

And, Alternative form is 6.2 x 10^4

Hence, (1.57 x 10^5)-(9.5 x 10^4) The answer will be 62000 or Alternative form is 6.2 x 10^4

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The objective of this excercise is to clear the variable t. We need to pass every term with a t to one side of the inequality and every term without it to the other side:

then we have:

And finally we have that:

Answer

Walter saved $54

Explanation

Walter earns $144.

He spent 25% of it on books.

25% of $144 = 0.25 × 144 = $36

Amount left after spending 25% = $144 - $36 = $108

He then saves 50% of the remaining money

50% of $108 = 0.5 (108) = $54

Hope this Helps!!!

Answer:

a= 2

b = 6

c = 2

d = 2

e = 7

f = 2

g = 1

h = 1

R = .3 (repeating)

Step-by-step explanation:

The rule we will use is

x1 = 2 and x2 = 6

y1 = -3 and y2 = 7

z1 = -4 and z2 = -4

Now we will find the answer in decimal using the calculator

The answer is 10.77032961

Round it to 3 decimal places, then

To round a number to a specific place, look at the number to the right of that place. If the number is less than 5, round down. If it is greater than or equal to 5, round up.

Question 1: 613 rounded to the nearest ten is 610.

The tens digit in 613 is 1. To the right of 1 is 3. Therefore, the approximation of 613 is:

THIS STATEMENT IS TRUE.

Question 2: 1,970 rounded to the nearest hundred is 1,900.

The hundreds digit in 1,970 is 9. To the right of 9 is 7. This means that we will round up by adding 1 to 9. Therefore, the approximation will be:

THIS STATEMENT IS FALSE.

Question 3: 54,318 rounded to the nearest thousand is 54,000.

The thousands digit is 4. To the right of 4 is 3. Therefore, the approximation is:

THIS STATEMENT IS TRUE.

Question 4: 476,022 rounded to the nearest ten thousand is 470,000.

The ten thousands digit is 7. To the right of 7 is 6. This means that we will round up. Therefore, the approximation is:

THIS STATEMENT IS FALSE.

We get the cost of the system and cost of the games  as $126 and $378 respectively.

Given, the price of the video game and several games are sold for $504.

The cost of the game is 3 times as much as the cost of the system.

we need to determine the cost of the system and the cost of the game = ?

Let x = the cost of the games.

Let y = the cost of the system.

therefore, x+y=504

and y = 3x

substitute the value of y.

⇒ x + y = 504

⇒ x + 3x = 504

combine like terms.

⇒ 4x = 504

Divide both sides by 4.

⇒ x = 504/4

⇒ x = 126

The cost of the system is $126.

Use y = 3x substituting 126 for x.

g = 3(126)

g = 378

The cost of the games is $378.

Hence we get the cost of the system and cost of the games as $126 and $378 respectively.

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Answer:

take square root on both side

Step-by-step explanation:

Solution

For this case we have the following equation given:

4r + 1.1 = 6.6r -3.84

We can subtract 4r in both sides and we got:

1.1 = 2.6r -3.84

Then we can add 3.84 in both sides and we got:

2.6 r = 4.94

And then the value of r we got: