Which ordered pair is the best estimate for the solution of the system of equations? y = −1/5x + 1 y = x + 4

The repeating decimal 0.434343... can be rewritten as a fraction by defining the decimal as a variable, manipulating the equation, and finally isolating the variable to find that the fraction form of 0.434343... is 43/99.

To rewrite the repeating decimal 0.434343... as a fraction, we first define the repeating decimal as a variable, let's call it x = 0.434343.... Then, to isolate the repeating section, we multiply x by 100, given the two-digit repeat, which gives us 100x = 43.434343.... By subtracting the original equation from this new one, we get: 99x = 43, because 100x - x = 43.434343... - 0.434343... simplifies to 99x = 43. Dividing both sides by 99 gives us x = 43/99, which is the fraction form of the repeating decimal.

To rewrite the repeating decimal 0.434343... as a fraction, we first denote it as x. Next, we can subtract the non-repeating part from the repeating part to get a new number, y. Then, we can express x and y as fractions and solve for the repeating fraction part.

Answer:

The value of g(-1) is -2

Step-by-step explanation:

[tex]g(x) = 2x^4 + 3x^3 - x^2[/tex]

Now we find g(-1)

To find g(-1) plug in -1 for x  in the given g(x) equation

Replace all x by -1

[tex]g(x) = 2x^4 + 3x^3 - x^2[/tex]

[tex]g(x) = 2(-1)^4 + 3(-1)^3 - (-1)^2[/tex]

[tex]g(x) = 2-3-1=-2[/tex]

The value of g(-1) is -2

Answer:

-2

Step-by-step explanation:

g(-1) = 2(-1)4 + 3(-1)3 - (-1)2 = 2(1) + 3(-1) - 1 = 2 - 3 - 1 = -2

Hello,

The correct answer is B) {0, 1}

Hope this helps!!!! Happy Holidays!!!! (:

Without further information, we can say that the prediction of drawing a blue or purple marble in six attempts depends on the total number of marbles and the number of blue and purple marbles.
If half the marbles are blue or purple, there is a predicted average of three such draws in six attempts.

To predict how many times you could pick a purple or blue marble, we would need to first know the total number of marbles and the number of blue and purple marbles. This information isn't provided in the question. However, we can discuss this concept further. When you select a marble and put it back, the probabilities remain the same for each draw because the total number of marbles in the bag and the number of desirable marbles (blue or purple in this case) do not change.

For example, if a bag contains four blue marbles and three white marbles, and you draw one marble six times with replacement (meaning each time after drawing, you put the marble back into the bag), the probability of drawing a blue marble each time is 4/7, because there are four blue marbles and seven total marbles.

Therefore, the best prediction of the number of times you will draw a blue or purple marble in six tries depends on these individual probabilities. If we assume half the marbles are blue or purple, then on average, we would expect to draw a blue or purple marble about three times.

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The best prediction possible for the number of times you will pick a purple or a blue marble after 6 draws is 3.43 times.

To predict the number of times you will pick a purple or a blue marble, you need to determine the probability of picking a purple or a blue marble for each individual draw and then multiply that probability by the number of draws. In this case, the bag contains 4 blue marbles out of a total of 7 marbles.

Therefore, the probability of picking a blue marble on each draw is 4/7.

Since you are drawing 6 times, you can predict that you will pick a purple or a blue marble approximately (4/7) x 6 = 24/7 = 3.43 times.

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m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas

An expression is combination of variables, numbers and operators.

Given that Walter pays $4 for each gallon, g, of gas for his lawn mower.

Walter uses a gift card worth $5 to reduce the amount he owes for his purchase.

We need to find the money, m, will Walter owe if he buys 4 gallons of gas.

m=4g+5

Now for 4 gallons we have to find the money.

m=16+5

m=21

Now for gallon =2

m=13

Now for gallon =3

m=17

Hence, m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas

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Answer:

Mia switched the numerator and the denominator.

Step-by-step explanation:

The slope formula is given by:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Where we have two ordered pairs:

P1 = (x1, y1)

P2 = (x2, y2)

Given is : Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91)

Step 1: [tex]\frac{3-35}{10-91}[/tex]

If we compare the formula with Mia's step, we can see that she switched the numerator and the denominator.

Hence, the error made is : Mia switched the numerator and the denominator.

Answer:

It means that you have to put the decimal point in the quotient exactly above the decimal point in the dividend.

Step-by-step explanation:

In the picture attached, the decimals chart is shown. There you can see where you have to put the decimal point in the quotient when you are dividing a decimal number by a whole number.

The correct answer is (A) -2y - 2 for x in 3x - 2y = 10.

x + 2 = -2y

3x - 2y = 10

In order to find the second variable, we must take either x or y out of one of the equations. We can specifically exclude x by substituting the following in the expression:

From the first equation into the second, x = -2y - 2. With this change, x will no longer be present in the second equation, allowing us to determine the value of y. As a result, we must replace the phrase with:

For x in the equation, -2y - 2:

3x - 2y = 10

To acquire:

3(-2y - 2) - 2y = 10

To put it simply: -6y - 6y - 2y = 10

combining comparable phrases

-8y = 16

y = -2 after dividing both sides by -8.

Once y has been determined, we can add this result back into one of the original equations.

Therefore, the correct answer is (A) -2y - 2 for x in 3x - 2y = 10.

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To create a scale diagram, determine the ratio between the length and width of the scale drawing and the actual object.

To create a scale diagram, we need to determine the ratio between the length and width of the scale drawing and the actual object.

In this case, the length of the scale drawing is 8 inches and the actual length of the mp3 player is 4 centimeters.

So the length ratio is 8 inches / 4 centimeters = 2 inches / centimeter.

Similarly, the width ratio can be calculated as 14 inches / 7 centimeters = 2 inches / centimeter.

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In Renee's scale drawing of the mp3 player, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing. This is calculated by comparing the actual length to the length on the drawing, converting the units to centimeters first. The scale should be consistent for both length and width.

The question describes a situation where Renee is making a scale diagram of her mp3 player. In this case, there is a comparison between the actual size of the mp3 player and it's representation on the scale drawing. Let's use the lengths as a basis for the scale.

The length of the actual mp3 player is 4 cm and the length on the scale is 8 inches. But, to make our comparison valid, we need to make sure that both measurements are in the same unit. Now, since 1 inch is approximately 2.54 cm, our 8 inches become 8 × 2.54 = 20.32 cm.

This means Renee's scale is roughly 5 to 1 (since 20.32 divided by 4 is about 5). Therefore, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing.

We can follow the same process for the width and verify that the scale is consistent, which it should be, but in this case, it's not necessary because we've been given that the lengths and the widths have exactly the same proportions in both the drawing and the real object.

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Answer:

Step-by-step explanation:

given equation,

-4 x = y + 3

y = -4 x -3........................(1)

comparing equation 1 with

 y = m x + c

m = -4 and  c = -3

now using this we can easily plot the graph where c is the y-intercept and m is the slope of line .

so, the plot is shown in the graph attached below.

Answer:

The ratio would be A. 2:1

Step-by-step explanation:

Answer:

The approximate volume of glass is equal to [tex]1,620.24\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere ( crystal ball) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

the approximate volume of glass is equal to

[tex]V=\frac{4}{3}\pi (rb^{3}-ra^{3})[/tex]

[tex]rb=8\ cm[/tex]

[tex]ra=(8-3)=5\ cm[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(8^{3}-5^{3})=1,620.24\ cm^{3}[/tex]