What is 8x to the power of 3, divided by 2x to the power of 9?

The equation that shows the proportional relationship between his defense and offense cards is y = 2x

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the defense cards and x represent the offense cards.

For every 2 offense cards, he owns 4 defense cards. Hence:

4 = 2m

m = 2

y = 2x

The equation that shows the proportional relationship between his defense and offense cards is y = 2x

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The meaning of the y-intercept in this situation is ,

''For every additional mile the cab travels, the total fee increases by $12.00.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

From the table, we have the following parameters:

Points (x, y) = (2, 5) and (15.00, 19.50)

So, we would calculate the slope as follows:

Slope = (19.50 - 5)/(15.00 - 2)

Slope = 14.50/13

Slope = 1.11

Hence, We get;

Fixed fee = $15 - (1.12 x 2)

               = $15 - 2.24 ≈ $12.00

So, We get;

For every additional mile the cab travels, the total fee increases by $12.00.

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The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2

To solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:

8x²(x² - 4) = 0

Now we can use the difference of squares identity to factor the quadratic expression:

8x²(x + 2)(x - 2) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

8x² = 0 or x + 2 = 0 or x - 2 = 0

Solving for x, we get:

x = 0 or x = -2 or x = 2

So the solution set for the equation is {0, -2, 2}.

To check the solution, we can substitute each value into the original equation and verify that it equals zero.

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Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Option C: −2; 0; −5

   This is about interpreting graph coordinates.

From the graph, this value is y = -2

Thus;

f(0) = -2

f(2) = 0

f(-3) = -5

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Answer:

here

Step-by-step explanation:

i played it till 3 am once

Answer:

10140.96 dollars

Step-by-step explanation:

Bob deposits 133 dollars at the end of every mounth in an account paying 5.9 percent interest compounded annually :

We khow that the interest is worth 5.9 percent

we can state :

Let At be the toatl amount after six years

At= 1596*6+94.16*6= 10140.96

Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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Step-by-step explanation:

You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.

Answer:

83.400

Step-by-step explanation:

thing is called math soup on the internet

Answer and Step-by-step explanation:

Only the 4th table is a function.

The first table has two x values, which can't be a function, as functions only allow 1 x value for a y value. 2 or 3 y values that are the same are okay as long as each of their x-values are different from each other.

The fourth table (4) on the other hand has each x with its own y value.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Each number is increasing by 13. Add 13 to 47 and you get 60.

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Step-by-step explanation:

Use Pythagorean theorem for right triangles

The slide is the hypotenuse

 6^2  = 4^2  + d^2

6^2 -4^2 = d^2

20 = d^2     d = sqrt (20 ) = ~ 4.5 ft

Answer:

Step-by-step explanation:

From the given set of data,

Stem-leaf plot will be,

Stem                Leaf

  0                    5 7

  1                     1 2 2 3 3 5 5 7 7 8 9  

  2                    0 2 5 6 8 8 8

  3                    5 8

  4                    4 8 9

  5                    2 5 7 8

  6

  7

  8                    0

Key for the given stem and leaf plot → 0 |  5 = 0.5

Part (a)

Since point E is on segment AD, this means the slope of ED is the exact same as the slope of AD.

Use the slope formula to calculate the slope of AD.

m = (y2-y1)/(x2-x1)

m = (7-2)/(4-0)

m = 5/4

====================================================

Part (b)

The same idea and steps apply as part (a)

====================================================

Part (c)

The x coordinates are the same, so we subtract the y coordinates to find the distance between C and D, which is the length of segment DC.

7-2 = 5

====================================================

Part (d)

This time, the y coordinates are the same. We'll subtract the x values

4-2 = 2

====================================================

Part (e)

Same idea as part (d), just different numbers this time.

2-0 = 2

30 is the correct answer.

The square root of 50 is 5x sqrt of 2 and the multiplied by 3 becomes 15 times 2 = 30 because the two square roots of 2 multiplied together become 2.

5 x 3 x 2 = 30

Answer:

The answer is undefined

Step-by-step explanation:

The slope of the line that passes through points (2, -3) and (2, 13) is not defined.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through points (2, -3) and (2, 13)

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

Plug the values to find the slope of the line:

m = (13 + 3)/(2-2) = 16/0 = not defined

Thus, the slope of the line that passes through points (2, -3) and (2, 13) is not defined.

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A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer: Height = 20 inches, Width = 36 inches

Step-by-step explanation:

Let the height be \(h\) and the width be \(h+16\).

Using the formula for the perimeter of a triangle,

\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)

Answer:

( 5 ^ -2)^4

= 5 ^ -8

= 1 /5^8

= 1 / 390,625

Answer:

The y intercept is (0,-22)

Step-by-step explanation:

The y intercept is the value when x =0

Y=5x-22

y = 5*0 -22

y = -22

The y intercept is (0,-22)

The explicit formula of the arithmetic sequence in this problem is given as follows:

\(a_n = 40 - 7n\)

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The explicit formula of an arithmetic sequence is given as follows:

\(a_n = a_1 + (n - 1)d\)

From the recursive formula, each term is the previous term subtracted by 7, hence the common difference is given as follows:

d = 7.

The first term of the sequence is given as follows:

\(a_1 = 33\)

Hence the explicit formula is obtained as follows:

\(a_n = a_1 + (n - 1)d\)

\(a_n = 33 - 7(n - 1)\)

\(a_n = 40 - 7n\)

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

When comparing projects that are mutually exclusive, the analyst should use the IRRs to choose the project if the NPV method and the method produce different rankings.

If the results of NPV and IRR are incongruent, NPV should always be used.

The internal rate of return is a technique used in financial research to gauge the profitability of potential investments (IRR). The IRR is the discount rate used in a discounted cash flow analysis to bring all cash flows' net present values (NPV) to nil.

The future stream of payments from a company, project, or investment are appraised today using a technique known as net present value (NPV). To calculate net present value, you must anticipate the timing and volume of future cash flows and select a discount rate equal to the least permitted rate of return (NPV). rn.

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I do not understand what do you mean