What is the slope of the graph of y = -3x?

3

-
-3

Answer:

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

Step-by-step explanation:

let n be the number , then

\(\frac{1}{3}\) n = \(\frac{1}{2}\) ( multiply both sides by 3 )

n = 3 × \(\frac{1}{2}\) = \(\frac{3}{2}\)

The statistic measured are (a) Mode, (b) Mean and (c) Median.

Mean of a data set is the average of all the values. It gives the exact middle point of the data set.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Mode of a data set is the value that occur most frequently in a data set.

(a) The first situation is that there are tables numbered 1 to 12. A student identified that a certain number of table is called by principal most frequently. So she keeps track for 21 days.

In the list of data over 21 days, there will be 21 data points. The data point which is most frequently come will be the most called table number.

So Mode is the best statistic here.

(b) In the second situation, it has to be shown that offensive line of a football team is larger than in previous years.

This will be shown by computing the average values over the last years.

So Mean is the statistic used here.

(c) A reporter has to demonstrate how the prices have fallen for the typical home in a large neighborhood, not just the most expensive houses.

Since the data includes all types of houses, there will be extremely large or small values in the data set, which is a chance for outliers.

For data with outliers, median is the best statistic.

Hence for the above situations a, b and c, mode, mean and median are the statistics respectively.

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Answer:

\(\frac{x^4-x^3-19x^2-10x+17}{x-5}=x^3+4x^2+x-5+\frac{-8}{x-5}\)

Step-by-step explanation:

5 | 1  -1  -19  -10   17

___   5  20_ 5  -25____

    1   4    1   -5  | -8

So, we show our answer as \(1x^3+4x^2+1x-5+\frac{-8}{x-5}=x^3+4x^2+x-5+\frac{-8}{x-5}\)

Answer: a

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

obtaining food

Answer:

I'm not sure if this is what you were asking for but if it's not just tell me and I'll change it. :)

Step-by-step explanation:

Circle one:

Area = \(\pi r^{2}\)

\(=(3.14)(8^2)=\) \((3.14)(64)=200.96\)

Circumference = \(2\pi r\)

\(= 2(3.14)(8) = (3.14)(16) = 50.24\)

Circle two:

Area = \(\pi r^{2}\)

\(=(3.14)(3^2)=\) \((3.14)(9)=28.26\)

Circumference = \(2\pi r\)

\(= 2(3.14)(3) = (3.14)(6) = 18.84\)

Answer:

B: Jupiter

Step-by-step explanation:

hope this helps

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\(p - \frac{19}{6} = - \frac{15}{6} \\ \)

Add sides 19 / 6

\(p - \frac{19}{6} + \frac{19}{6} = - \frac{15}{6} + \frac{19}{6} \\ \)

\(p = \frac{19 - 15}{6} \\ \)

\(p = \frac{4}{6} \\ \)

\(p = \frac{2 \times 2}{2 \times 3} \\ \)

\(p = \frac{2}{3} \\ \)

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Answer:

\(y=3x-7\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where the points given are \((x_1,y_1)\) and \((x_2,y_2)\)

Points (3,2) and (6,11)

\(=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3\)

Therefore, the slope of the line is 3. Plug this into \(y=mx+b\):

\(y=3x+b\)

2) Determine the y-intercept (b)

\(y=3x+b\)

Plug in one of the given points and solve for b

\(2=3(3)+b\\2=9+b\)

Subtract 9 from both sides

\(2-9=9+b-9\\-7=b\)

Therefore, the y-intercept of the line is -7. Plug this back into \(y=3x+b\):

\(y=3x-7\)

I hope this helps!

Answer:

206

Step-by-step explanation:

The formula for this problem would be -310 + 13(8) which = 206

If tickets for a show cost $2.00 for adults and $1.50 for children, we can set up a system of equations to find the number of each kind of ticket sold. Let's represent the number of adult tickets as "a" and the number of children tickets as "c".

The total number of tickets sold is 300, so we have the equation: a + c = 300.

The total amount of money earned from ticket sales is $525, so we have the equation: 2a + 1.50c = 525.

To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method:

Solve the first equation for one variable. We can isolate "a" by subtracting "c" from both sides: a = 300 - c.

Substitute the value of "a" in the second equation. Replace "a" with "300 - c": 2(300 - c) + 1.50c = 525.

Simplify the equation: 600 - 2c + 1.50c = 525.

Combine like terms: -0.50c = -75.
Divide both sides by -0.50 to solve for "c": c = 150.

Substitute the value of "c" back into the first equation to find "a": a + 150 = 300. Subtract 150 from both sides: a = 150.

Therefore, 150 adult tickets and 150 children tickets were sold.

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The expression that can represent the volume of 2 prisms is  (2×4×9) + (2×4×3)

To find the volume of a rectangular prism, simply multiply its length by its width and then by its height.

Hence, the volume of a rectangular prism is given by the formula:

                            V = l × w × h

Where l, w, and h are the length, width, and height of the prism, respectively.

Here we have

The first prism has a length of 2 meters, a height of 9 meters, and a width of 4 meters. The second prism has a length of 2 meters, a height of 3 meters, and a width of 4 meters.    

Volume of first prism = 2 m × 4 m × 9 m

Volume of second prism = 2 m × 4 m × 3 m

Total volume of 2 prisims = (2×4×9) + (2×4×3)

Therefore,

The expression that can represent the volume of 2 prisms is  (2×4×9) + (2×4×3)

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90

6+6=12

12+8=20

20+10=30

30+12=42

42+14=56

56+16+18=90

1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0 would equal to 90 if you break it down.

Hope this helps!

Have a great day :)

Answer:

1.2^24/1.4^18

Step-by-step explanation:

(1.4^3/1.2^4)^-6 = 1.4^-18/1.2^-24 = 1.2^24/1.4^18

Hope this helps. :)

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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Answer:

i cant see the link try reposting

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

The absolute maximum value of the function g(x) = |x|−3|x 1| on the closed interval [-2,2] is 5. This is because the absolute value of x has its maximum value of 2 on the interval and the absolute value of x-1 has its maximum value of 3 on the same interval. Therefore, the maximum value of g(x) is 5

The function g(x) = |x|−3|x 1| is defined as the absolute value of x minus the absolute value of x minus 1. This means that the value of g(x) will always be negative or zero, depending on the value of x. On the closed interval [-2,2], the absolute value of x can range from 0 to 2, while the absolute value of x minus 1 can range from 1 to 3. Thus, the maximum value of g(x) on the interval is the difference between these two values, which is 5. This is because the absolute value of x is at its maximum of 2 and the absolute value of x minus 1 is at its maximum of 3 on the interval, so the difference between them is 5.

The absolute maximum value of function g(x) = |x|−3|x 1| on the closed interval [-2,2] can be calculated as follows:

First, let x = 2, then g(2) = |2|−3|2-1| = |2|−3|1| = 2−3 = -1

Second, let x = -2, then g(-2) = |-2|−3|-2-1| = |-2|−3|-3| = 2−3 = -1

Finally, let x = 0, then g(0) = |0|−3|0-1| = |0|−3|-1| = 0−3 = -3

Therefore, the absolute maximum value of g(x) is 5, which is obtained when x = 0

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Answer:

x=-11

Step-by-step explanation:

Divide both sides by -7, and you get -11

Bearing should be N 56.31° W.

The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together. A tangent is a line that, although not crossing it, touches the edge of a curve or circle at one point. The instantaneous rate of change of the specified function at a point is represented by the tangent. The derivative of the function at a given position is equal to the slope of the tangent at that location. A function with the equation y = f x has a tangent slope of d y d x.

Given,

tan ∅ = opposite/adjacent

tan∅ = 45/30

tan ∅ = 1.5

∅ = arctan 1.5

N 56.31° W

Bearing should be N 56.31° W.

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\( {x}^{2} + 70 = 17x \\ {x }^{2} + 70 - 17x = 0 \\ {x}^{2} - 17x + 70 = 0 \\ (x - 10)(x - 7) = 0 \\ \\ x - 10 = 0 \\ x = 10 \\ \\ x - 7 = 0 \\ x = 7\)

I hope I helped you^_^

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

Step-by-step explanation:

Find the unit rate of the data in the table:

The equation is:

Compare this with the others:

Find. rate

Only first one and 4the one have lower unit rate

To calculate the value of the test statistic, we need to use the sample results provided: d-bar = 6.9, sD = 7.8, and n = 10. The value of the test statistic is approximately 1.983.

Given:

Sample mean difference (d-bar) = 6.9

Sample standard deviation of the differences (sD) = 7.8

Sample size (n) = 10

To calculate the test statistic, we can use the formula for the t-statistic:

t = (d-bar - μD) / (sD / sqrt(n))

where d-bar is the sample mean difference, μD is the hypothesized mean difference under the null hypothesis, sD is the sample standard deviation of the differences, and n is the sample size.

In this case, the null hypothesis (H0) states that μD is less than or equal to 2. Since the alternative hypothesis (HA) is μD > 2, this is a one-tailed test.

Plugging in the values into the formula:

t = (6.9 - 2) / (7.8 / sqrt(10))

t = 4.9 / (7.8 / 3.162)

t = 4.9 / 2.471

t ≈ 1.983

Therefore, the value of the test statistic is approximately 1.983.

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Answer:

4=3

x=1

4=3x

4/3=x

1.3=x

Answer:

1

Step-by-step explanation:

2 power 3 in numerator mean it is 8.

Divide th 2 power 3 in denominator it means 8.

Now upo dividing 8 and 8 it gives 1.

Same it can be understood by any number with exponent 0 is equal to 1.

Answer:

Radius = 1.02493

This is a true statement. So, the correct answer is B. 13.6 ≤ 3.9p.

To solve this problem, we need to substitute the value of p = 3.4 into each inequality and see which one is true.

A. 3p < 10.2

Substituting p = 3.4

3(3.4) = 10.2

Therefore, the inequality becomes: 10.2 < 10.2

This is not a true statement.

B. 13.6 ≤ 3.9p

Substituting p = 3.4

3.9(3.4) = 13.26

Therefore, the inequality becomes: 13.6 ≤ 13.26

This is a true statement.

C. 5p > 17.1

Substituting p = 3.4

5(3.4) = 17

Therefore, the inequality becomes: 17 > 17.1

This is not a true statement.

D. 8.5 ≥ 2.5p

Substituting p = 3.4

2.5(3.4) = 8.5

Therefore, the inequality becomes: 8.5 ≥ 8.5

This is a true statement.

So, the correct answer is B. 13.6 ≤ 3.9p.

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Answer:

y = 2

because when you transpose -12 it changes the sign it become positive