how to find the value of x ?​

There are infinitely many solutions to the system of equation x + 2y = 6

and 2x + 4y = 12.

Given the system of equation in the question:

x + 2y = 6

2x + 4y = 12

Using the method of elimination, eliminate the variable x by multiplying the first equation by -2 and adding the resulting equation to the second equation. This gives us:

-2(x + 2y) = -2(6)

-2x - 4y = -12

2x + 4y = 12

Adding the two equations, we get:

0 = 0

This means that the two equations are equivalent, and there are infinitely many solutions to the system.

Therefore, option D) There are infinitely many solutions is the correct answer.

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Answer:

False

Step-by-step explanation:

have a great dayyy

Answer:

False

Step-by-step explanation:

Answer:

12 is the answer

Step-by-step explanation:

FIRST do 23 - 11 and you will find your answer

Answer:

80?

Step-by-step explanation:

Answer:

Fifty - one billion two hundred one thousand seventy eight

- Let me know if you have any questions regarding my answer :)

Answer:

\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)

\(\boxed{51,000,201,078}\)

⟹ Fifty one billion two hundred and one thousand seventy eight.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

is this answer

Step-by-step explanation:

5(m+1)-1

5m+5-1

5m-4

Answer:

I think the answer would be 3.92682926829

Step-by-step explanation:

Honestly i dont think i did this right at all. But i hope i did.

Here is what i did:

0.95 + 1.10 = 2.05

8.05 divided by 2.05 = 3.92682926829

Im so sorry if you get this wrong. I honestly am having an off day. Good luck :(

The likelihood of obtaining three heads in a row when a coin is tossed three times is 0.125.

When a fair coin is tossed, there are two possible outcomes: heads (H) or tails (T). Each individual toss of the coin is an independent event, meaning that the outcome of one toss does not affect the outcome of subsequent tosses.

To find the likelihood of obtaining three heads in a row, we need to consider the probability of getting a head on each individual toss. Since there are two possible outcomes (H or T) for each toss, and we want to get heads three times in a row, we multiply the probabilities together.

The probability of getting a head on a single toss is 1/2, since there is one favorable outcome (H) out of two equally likely outcomes (H or T).

To get three heads in a row, we multiply the probabilities of each toss: (1/2) * (1/2) * (1/2) = 1/8 = 0.125.

Therefore, the likelihood of obtaining three heads in a row when a coin is tossed three times is 0.125.

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The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer:

The solutions to the graph are (-1,1) and (4,6).

Step-by-step explanation:

Where the line and parabola intersect, or meet, are the solutions.

θ₁ ≈ 120.0°,θ₂ ≈ 240.0°To solve the equation 2secθ + 1 = 0, we can isolate the secθ term and then solve for θ. Let's go through the steps:

1. Subtract 1 from both sides of the equation:

  2secθ = -1

2. Divide both sides of the equation by 2:

  secθ = -1/2

Now, to find the values of θ that satisfy this equation, we need to determine the angles whose secant is equal to -1/2.

The secant function is the reciprocal of the cosine function. In the unit circle, the cosine function is negative in the second and third quadrants. Thus, we need to find the angles in those quadrants where the cosine is equal to -2.

Using the inverse cosine function (cos⁻¹), we can find the reference angles:

θ₁ = cos⁻¹(-1/2) ≈ 120.0°

θ₂ = cos⁻¹(-1/2) ≈ 240.0°

Since the cosine function has a periodicity of 360°, we can find the other solutions by adding or subtracting multiples of 360°:

θ₃ = θ₁ + 360° ≈ 480.0°

θ₄ = θ₂ + 360° ≈ 600.0°

However, we need to find solutions within the range 0° ≤ θ < 360°. So, we discard θ₃ and θ₄.

Thus, the values of θ that satisfy the equation 2secθ + 1 = 0 within the given range are approximately:

θ₁ ≈ 120.0°

θ₂ ≈ 240.0°

Rounding to the nearest tenth, we have:

θ₁ ≈ 120.0°

θ₂ ≈ 240.0°

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The limit of the given function is  π/2.

What is a limit?

A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

Here, we have

Given: \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

We have to find the limit of the given function.

=  \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

Now, we substitute the value of each variable.

x = π and y = π/2

= y sin(x-y)

= π/2sin(π-π/2)

= π/2sinπ/2

= π/2sin(90°)   (∴sin90° = 1)

= π/2×1

= π/2

Hence, the limit of the given function is  π/2.

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Answer: The box is large enough to ship the coat.

15000cm to the power of 3>10000cm to the power of 3

Step-by-step explanation:

V box=25x30x20

         =750+20

         =15000cm to the power of 3

So the box is large enough to ship the coat

The block will cover the distance 12m before it stops.

According to Newton's second law of motion, the acceleration a

of a body of mass m is determined by the net force \(F_n_e_t\) acting on it:

\(F_n_e_t\)  = ma.

The mass of a block, m = 8 kg

The initial speed of the block on rough horizontal surface , u = 6 m/s

The force of friction, F = 12N

We know that, the Newton's 2nd law: \(F_n_e_t\)  = ma.

Therefore, its final velocity is zero, v = 0

Since the only force that is acting on the body along the horizontal direction is the kinetic frictional force

\(F_n_e_t\)  = ma. (\(F_n_e_t\)  is acting in opposite direction to that of object motion)

a = \(\frac{f_n_e_t}{m}\) = \(\frac{-12}{8} = -1.5m/s^2\)

Negative sign shows that it is in the opposite direction to that of initial velocity.

By using the third kinematic equation, we get:

\(v^2=u^2+2as\\\\= > s = \frac{0-6^2}{2(-1.5)}\\ \\s = \frac{36}{3} = 12m\)

Therefore, the block will cover the distance 12m before it stops.

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The solution to the equation represented by the model is x = 2

The model represents the given parameter

Based on the key of the model, we have the following equation

x + x + x - 1 - 1 - 1 - 1 = 1 + 1 + 1 + 1 + 1 + 1 - x - x

Evaluate the like terms

So, we have the following representation

3x - 4 = 6 - 2x

Collect the like terms

So, the equation becomes

3x + 2x = 4 + 6

This gives

5x = 10

Divide both sides by 5

x = 2

Hence, the solution to the model is 2

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Answer:

When you divide, you find the reciprocal (flip the numerator and denominator) of the number after the division sign and then multiply.

9/11 divided by 5/11

9/11 x 11/5

9/5

1 4/5

The value of a is 1, b is 4, and c is 5.

:)

The probability that a 5-card straight will be drawn from a standard deck of 52 cards if the first three cards drawn are the 2 of spades, the 4 of diamonds, and the 6 of diamonds is 0.005.

A standard deck has 52 cards.

In this case, three cards are already drawn from the deck, which are the 2 of spades, the 4 of diamonds, and the 6 of diamonds. Thus, remaining number of cards=  49.

Probability of getting first card: 1/4

Probability of getting the second card from same suit= 1/13+ 1/13+ 1/12+ 1/11= 563/1716

Probability of getting the third card from same suit= 1/12+1/12+ 1/11+ 1/10= 472/ 1320

Probability of getting the fourth card from same suit= 1/11+ 1/11+ 1/10+ 1/9= 389/ 990

Probability of getting the fifth card from same suit= 1/10+ 1/10+ 1/9+ 1/8= 314/ 720

Therefore, total probability of the event that a 5-card straight will be drawn,

= (1/4)* (563/1716)* (472/ 1320)* (389/990)* (314/720)

= 0.005

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Answer:

$114

Step-by-step explanation:

38 × 9 = 342

342÷3=114

Answer:

21

Step-by-step explanation:

x² =49

4x = -28

total 21

To factor the expression (3x-2)-3(3x-2), we factored out the common factor of (3x-2) to get -2(3x-2). To substitute y = (3x-2) into this expression, we rewrote it as -2y, which is the same as the original expression but with y replacing (3x-2).

For the expression (3x-2)-3(3x-2), we can factor out the common factor of (3x-2) to get:

(3x-2) - 3(3x-2) = (3x-2)(1-3) = -2(3x-2)

Therefore, -2(3x-2) is the factored form of the expression (3x-2)-3(3x-2).

To substitute y = (3x-2) into this expression, we can rewrite it as:

-2(3x-2) = -2y

This is the same as the original expression, but with y replacing (3x-2).

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They suffer loss by selling bananas at 65c.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Cost of one box = R75

Then, cost of three boxes = R75 x 3

                                            = R225

Now, one box has 12 bunches of 12 bananas each.

Then, one box contain = 12 x 12 = 144 bananas

and, 3 box contain = 144 x 3 = 432 Bananas

If managed to sell 80 % of the bananas then they sold

= 432 x 0.8 = 346 Bananas

So, they earned by selling those bananas

= 346 x 0.65

= R224.9

Thus, they suffer loss.

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Answer:

D. 30.5 ft²

Step-by-step explanation:

we see that this is the area of the circle minus the area of the inscribed rectangle.

the radius of the circle is half the diameter : 10/2 = 5 ft.

the area of the circle is

pi×r² = pi×5² = 25pi ft²

the area of the rectangle is

6×8 = 48 ft²

the shaded area is therefore

25pi - 48 = 30.53981634... ft²

so, D is the closest answer.

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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If the correlation between two variables is positive, then it indicates that when one variable increases so does the other variable.

Slope is an important concept in mathematics and is used to describe the steepness or direction of a line or linear equation. It is the ratio between the vertical and horizontal change in the equation, and is represented by the letter m. Slope can also be used to describe the rate of change of a function. Slope is an important concept in calculus, physics, and engineering. It is used to understand how different forces will affect a system and how various objects move in relation to each other.
In this case, the slope of the linear model that is formed from the two variables will also be positive. This means that the variables are positively associated, meaning the linear model will have a positive slope.

When the two variables have a positive correlation, the linear model will generally be upward sloping, which means that when one variable increases, the other variable will also increase. This indicates that the two variables are positively associated. For example, the number of hours studied and the grade achieved in an exam may have a positive correlation. As the student studies more, their grade will likely increase.

Conversely, if the correlation between two variables is negative, then the slope of the linear model will be negative. This means that the variables are inversely associated, meaning that when one variable increases, the other variable decreases. In this case, the linear model will generally be downward sloping, with the two variables having a negative association.

Overall, when the correlation between two variables is positive, the slope of the linear model will also be positive. This indicates that the two variables are positively associated, meaning that when one variable increases so does the other. Conversely, if the correlation is negative, then the slope of the linear model will be negative, indicating that the two variables are inversely associated.

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Using the concept of area of rectangle, we can say that the actual cost of putting flooring is $624.72.

The area of the floor can be found by using the formula to find area of rectangle.

Area=Length × Width

Floor length = 6 feet

Floor breadth= 19 feet

Area of floor = length × width

Area of floor = 19 × 6

Area of floor = 114 square foot

The cost of flooring 114 square foot at the price of $5.48 can be found using the given formula,

Actual cost of putting flooring = area × price of flooring per square foot

Actual cost of putting flooring= 114 × 5.48

Actual cost of putting flooring= $624.72

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The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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