Graphing slope intercept form y=-2/3x-16

Answer:

-+=- is true

Step-by-step explanation:

because - and+ are equal to -

but - and- are eqial to +

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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The number that is given in the statement of this question is x<8.

Algebraic expression is a mathematical sentence involving several numbers and letters. These letters are called variables or unknowns, and can be part of equations.

To solve this expression, we will set up the equation as follows, according to the statement.

x + 5 < 13

x < 13 - 5

x < 8

Therefore, the unknown number in this equation will be x < 8.

Answer:

Step-by-step explanation:

14in + 16in + 16in = 46in

all you do is add the numbers to get the total.

To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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a meal can be chosen is 546 different ways.

When we plot graph of a function f(x), the points of the graph has the form:

So, if we know that the point (-2,-3) is in the graph, we have:

So f(-2)=-3.

Answer:

$2.50

Step-by-step explanation:

6.25/2.5=2.5

Using the cross-multiplication method, we know that the cost of a car before the 15% tax is $32,000.

When using the cross-multiplication approach, the denominator of the first term is multiplied by the numerator of the second term and vice versa.

So, we know that:

After-tax of 15%: $36,800

Before-tax of 15%: x

The Percentage is always taken from 100%.

Then, we will form:

x/100 = 36800/115

Use the cross-multiplication method as follows:

x/100 = 36800/115

115x = 3680000

x = 3680000/115

x = $32,000

Therefore, using the cross-multiplication method, we know that the cost of a car before the 15% tax is $32,000.

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Answer: 188 messages

Step-by-step explanation:

We will set up and solve a proportion.

      \(\displaystyle \frac{9.75}{65} =\frac{28.2}{x}\)

Now, we will cross-multiply.

      9.75 * x = 65 * 28.2

      9.75x = 1,833

Lastly, we will divide both sides of the equation by 9.75.

      x = 188 messages

The expected value of x is 3.5 and the variance is 2.91. Thus, the result of tossing a fair die has an expected value of 3.5 and a variance of 2.91.

The expected value, e(x), of the number of dots on the top face of a die is calculated by taking the sum of all possible outcomes multiplied by their respective probabilities. The probability of each outcome, from 1 to 6, is 1/6. Therefore, the expected value is

\((1*1/6)+(2*1/6)+(3*1/6)+(4*1/6)+(5*1/6)+(6*1/6) = 3.5\)

The variance, var(x), is calculated by taking the sum of the squares of the differences between each outcome and the expected value, all multiplied by their respective probabilities. The variance is

\((1-3.5)^2*1/6+(2-3.5)^2*1/6+(3-3.5)^2*1/6+(4-3.5)^2*1/6+(5-3.5)^2*1/6+(6-3.5)^2*1/6\\=2.91.\\\) Thus, the result of tossing a fair die has an expected value of 3.5 and a variance of 2.91.

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Answer: I think it’s skewed right

Step-by-step explanation:

Answer:

\(\frac{1}{2x^2}\)

Step-by-step explanation:

When you add fractions, the fractions must have common denominators.

Multiply the denominators together to get a common denominator.

(2\(x^{2}\)+4x) by (\(x^3\)+2\(x^{2}\)) = \(2x^5+8x^4+8x^3\)

This is the common denominator.

However, you also need to multiply the numerators.

For example,

\(\frac{1}{2} + \frac{1}{4}\)

2 times 4 is 8.

But 1/8 + 1/8 isn't the answer. Thats 2/8 or 1/4.

If you multiply 1 by 4 and 2 by 1, however, you'll get the correct answer.

Multiply 1 by x^3 + 2x^2 and 1 by 2x^2 + 4x.

This results in:

\(\frac{x^3+2x^2}{2x^5+8x^4+8x^3} +\frac{2x^2+4x}{2x^5+8x^4+8x^3}\)

Since they have a common denominator, you can just put the numbers over one denominator like:

\(\frac{x^3+2x^2+2x^2+4x}{2x^5+8x^4+8x^3}\)

Both the and numerators can be factored.

The numerator can be factored into x\((x+2)^2\).

The denominator can be factored into \(2x^3(x+2)^2\)

Like:

\(\frac{x(x+2)^2}{2x^3(x+2)^2}\)

The (x+2)^2 cancel, leaving:

\(\frac{x}{2x^3}\)

Which is basically: \(\frac{x^1}{2x^3}\)

Which simplifies to

\(\frac{1}{2x^2}\)

Like this?:

\(\frac{1}{2x^2+4x} + \frac{1}{x^3+2x^2}\)

option D is the correct answer. The length of the corresponding side in polygon D is 2 inches.

As it is given that the polygon is similar

That means that the ratio of the perimeter of the polygon will be equal to the ratio of the corresponding sides.

perimeter of polygon C/Perimeter of polygon D = side of C/side of D

⇒ 192/48=8/length of the corresponding side(let us consider x)

⇒ 192/48=8/x ⇒ x = 8*48/192 = 2 inches.

Hence, the length of the corresponding side in Polygon D is 2 inches.

Therefore, option D is the correct answer.

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Answer:

1469.52 cm3

Step-by-step explanation:

Area of a circle times the height of the cylinder.

Area of a circle = 3.14*6^2 = 113.04

113.04*13 = 1469.52 cm3

Answer:

Yes, it means that both of you obtain a result with the same precision and accuracy.

Step-by-step explanation:

It is provided that two different people took measurements in order to find the length of a rod.

The first person took 30 measurements.

The second person took 20 measurements.

Both the people got the same average length, i.e. L₀.

In statistics, a larger sample leads to an error free result.

So, for the first person the larger sample helped reducing the chance of any sort of error that may be present.

For the second person, the average is same as the first even when their sample size is less than the first.

This may happen because the sample was selected with a certain precision and accuracy.

Thus, both of them obtain a result with the same precision and accuracy.

Triangle A and Triangle C are congruent to each other because a series of rigid transformations, a translation and a reflection, were applied to A to form C. Therefore, the correct answer is "A Is congruent to B and B Is congruent to C". So, the correct answer is A).

Identify the coordinates of the vertices of Triangle A and Triangle C

Triangle A: (1, -2), (3, -2), (3, -5)

Triangle C: (4, 0), (6, 0), (6, 3)

Apply the first transformation that was used to transform Triangle A to Triangle C, which is a translation of 3 units right and 2 units up. To do this, add 3 to the x-coordinates and add 2 to the y-coordinates of each vertex of Triangle A to get

Triangle A': (4, 0), (6, 0), (6, -3)

Triangle A' is not congruent to Triangle A because the translation changes the position of the vertices, but it does not change the size or shape of the triangle.

Apply the second transformation that was used to transform Triangle A' to Triangle C, which is a reflection over the x-axis. To do this, negate the y-coordinates of each vertex of Triangle A' to get

Triangle C': (4, 0), (6, 0), (6, 3)

Triangle C' is congruent to Triangle C because the reflection over the x-axis preserves the size and shape of the triangle, and negating the y-coordinates of the vertices only changes their position, not their size or shape.

Compare Triangle A with Triangle C'

Triangle A: (1, -2), (3, -2), (3, -5)

Triangle C': (4, 0), (6, 0), (6, 3)

We can see that Triangle A is congruent to Triangle C' because they have the same shape and size, and the corresponding angles and sides are equal.

Therefore, since Triangle A is congruent to Triangle C', and Triangle C' is congruent to Triangle C, we can conclude that Triangle A is congruent to Triangle C.

Therefore, the correct answer is "A Is congruent to B and B Is congruent to C" and option is A).

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--The given question is incomplete, the complete question is given

" Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). Which best explains why figure A is congruent to figure C?A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle."--

Answer:

There are four (4) different terms

Step-by-step explanation:

Given;

2x + 3xy - (x + y) + 2

The terms are simplified as follows;

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

= 2x + 3xy - x - y + 2

collect like terms;

= 2x - x  - y + 3xy + 2

= x - y + 3xy  + 2

Thus, there are four (4) different terms in the simplified expression.

Step-by-step explanation:

I have attached pictures. Hopefully they are visible.

:)

Answer:

B

Step-by-step explanation:

36 x 9 = 324

4+2=6

324^6

=324*324*324*324*324*324

=1156831381426176

Answer:

the real question is what the total amount of value is.

Answer: the answer is 187,535.72

Step-by-step explanation:

(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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Answer:

117

Step-by-step explanation:

supplementary angles should add up to 180, and 117+63=180!

hope that helps :))

Answer:

117

Step-by-step explanation:

the supplement of 63 degrees is the angle measurement that makes is a straight line (180)

so 180-63=117

so your answer would

117 degrees

Answer:

9/20 or 0.45

Step-by-step explanation:

we multiply them

3×3/4×5

9/20

or 0.45

Answer:

Step-by-step explanation:

Answer:

A graph with a slope of -1, and a y-intercept (crosses the y-axis) at 3

Answer:

Step-by-step explanation:

The first part is already solved.

We got the scale factor

Use this to find the missing side:

Answer:

a. EXPLAINED IN THE PIC

b. 20

Step-by-step explanation:

*in the line 4, the number which I wrote, was 4*

Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500