Using a minimum of two sentences, describe how to write the function, f(x) = (x 2)2 - 3, in standard form.

Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

Answer:

(1,5)

Step-by-step explanation:

\(4x + 1 = 2x + 3 \\ 2x = 2 \\ x = 1 \\ y = 5\)

Answer:

14

Step-by-step explanation:

round both numbers

7 and 2

7x2 is 14

The answer to the expressions are

-5 - 9x - 8x + 2 = -3 -17x

6k - k = 5k

4 - 5(-8 + 2w) = 44 - 10w

8n + 2n - 3 = 10n -3

-5(7p - 3) - 2 = -35p + 13

To solve the question, we will simplify all of the expressions.

First, collect like terms

-5 + 2 - 9x - 8x  = -3 -17x

∴ -5 - 9x - 8x + 2 = -3 -17x

6k - k = 5k

First, clear the brackets

4 - 5(-8 + 2w) = 4 + 40 -10w  

= 44 - 10w

∴ 4 - 5(-8 + 2w) = 44 - 10w

8n + 2n - 3 = 10n -3

∴ 8n + 2n - 3 = 10n -3

First, clear the bracket

-5(7p - 3) - 2 = -35p + 15 -2

= -35p + 13

∴ -5(7p - 3) - 2 = -35p + 13

Hence, the answer to the expressions are

-5 - 9x - 8x + 2 = -3 -17x

6k - k = 5k

4 - 5(-8 + 2w) = 44 - 10w

8n + 2n - 3 = 10n -3

-5(7p - 3) - 2 = -35p + 13

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The condition under which |a⃗ − b⃗ | = a + b is when the vectors a⃗ and b⃗ are parallel and have the same direction.

When two vectors are parallel, it means they have the same or opposite direction. In this case, we consider the scenario where they have the same direction. When a⃗ and b⃗ are parallel and have the same direction, the difference between them, a⃗ − b⃗, results in a vector that has a magnitude equal to the difference between their magnitudes, |a| − |b|.

In order for |a⃗ − b⃗ | to be equal to a + b, the magnitudes of the vectors a⃗ and b⃗ should satisfy the condition |a| − |b| = a + b. This implies that the magnitude of vector a⃗ should be twice the magnitude of vector b⃗. By setting these magnitudes appropriately, we can achieve the equality between the magnitudes of the difference vector and the sum of the vectors.

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The total cost of the shirts that have same cost when x=5 is,

c=70

A mathematical equation is a formula that joins two expressions and expresses their equivalence using the equals symbol (=). The definitions of the word equation and its cognates in different languages may differ slightly.

The entire cost is c

c = 40 + 6x

c = 20 + 10x

The quantity of shirts is x.

Via utilizing one of the equations to solve for one of the variables and then substituting that variable's value into the other equation, you can solve by substitution.

40+6x=20+10x

4x=20

x=5

You would solve for c in the first equation in this problem.

40+6x where x=5 then,

c=70

Since it has already been solved for c, all that is left to do is swap out c with its equivalent in the second equation.

20+10x where x=5 then,

c=70

Therefore, the total cost of the shirts that have same cost is c=70 when x=5.

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Answer:

It is 1/45

Step-by-step explanation:

The probability of drawing two yellow marbles=4/45.

It is given that Total number of marbles=10 ,number of yellow marble is 2, number of pink marble is 3 and number of blue marble is 5.

To find the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw.

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

The probability of drawing first yellow marble=2/10=1/5

When first yellow marble is not placed back into the bag before the second draw.

Then, number of remaining  yellow marble=1

Total number of marbles=9

The probability of drawing second yellow marble =4/9

Now, the probability of drawing two yellow marbles =1/5*4/9=4/45

Hence, the probability of drawing two yellow marbles=4/45

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Answer:

2

Step-by-step explanation:

The Division Equation that has solution of -9/14 will be \(\frac{-18x}{28x}\).

What is Division Equation?

Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety.

For given solution i.e. -9/14, we can write division equation as follows,

           \(\frac{-9* 2x}{14*2x}\)

    i.e.   \(\frac{-18x}{28x}\)

Hence, The division equation that has solution of -9/14 will be \(\frac{-18x}{28x}\).

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Answer:

Solution given:

9x-2y=7

making it in a form of y=mx+c

9x-7=2y

y=9/2x -7/2

Comparing above equation with y=mx+c

we get

m=9/2

Since it is passes parallel to (5,-3)

slope will be same

now

Equation of line

y-y1=m(x-x1)

y+3=9/2(x-5)

y=9/2x-5/2-3

y=9/2 x-11/2 is a required equation.

The requried translation used to create the image is 8 units to the left.

To determine the translation used to create the image, we need to compare the corresponding vertices of the two polygons.

First, we can plot the vertices of the original polygon ABCD and the new polygon A' B' C' D' on the coordinate plane,

We can see that the new polygon A' B' C' D' is a translation of the original polygon ABCD. The corresponding vertices are:

A' is 8 units to the left from A

B' is 8 units to the left from B

C' is 8 units to the left from C

D' is 8 units to the left from D

Therefore, the translation used to create the image is 8 units to the left.

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The formula to convert liters (L) to nanoliters (nL) is: nL = L x 1,000,000

A liter is a unit of volume used to measure liquids or gases. It is part of the metric system of measurement and is abbreviated as "L". One liter is equal to 1000 cubic centimeters (cc) or milliliters (ml).

To give you a better idea of how much volume a liter represents, think about a typical water bottle that you might buy at a store. A standard water bottle typically contains around 0.5 liters of water, while a larger water bottle may contain 1-2 liters.

In addition to measuring liquids, liters can also be used to measure the volume of gases. For example, the capacity of a car engine might be given in liters, indicating the total volume of air and fuel that the engine can hold.

The liter is a widely used unit of volume around the world, and it is part of the International System of Units (SI).

One liter is equal to 1,000,000 nanoliters. Therefore, to convert liters to nanoliters, you can multiply the value in liters by 1,000,000.

The formula to convert liters (L) to nanoliters (nL) is:

nL = L x 1,000,000

For example, if you have 0.5 liters, the conversion to nanoliters would be:

nL = 0.5 L x 1,000,000

nL = 500,000,000 nL

Therefore, 0.5 liters is equal to 500,000,000 nanoliters.

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Answer:

6sqrt(2) units

Step-by-step explanation:

Distance² = (-9 - -3)² + (8 - 2)²

Distance² = (-6)² + 6²

Distance² = 36 + 36

Distance² = 72

Distance = 6sqrt(2)

sqrt: square root

Answer:

  y = -1/3x +6

Step-by-step explanation:

You want the equation of the line through the point (3, 5) and perpendicular to y = 3x +2.

The slope-intercept form of the equation of a line is ...

  y = mx +b

where m is the slope, and b is the y-intercept.

Comparing this to the given equation, we see that m=3 for the given line.

The slopes of perpendicular lines are opposite reciprocals of one another. This means the slope of the line we want is ...

  desired slope = -1/m = -1/3

The slope-intercept equation above can be solved for b to give ...

  b = y -mx

Then the y-intercept for the line we want is ...

  b = 5 -(-1/3)(3) = 5 +1 = 6

The equation of the desired line is y = -1/3x +6.

__

Additional comment

Once you understand how to find the slope of the given line and of the desired line, you can write down the desired equation in point-slope form.

Given slope = 3; perpendicular slope = -1/3

Point-slope equation: y -k = m(x -h) . . . . line through (h, k) with slope m

  y -5 = -1/3(x -3) . . . . . line through (3, 5) with slope -1/3

The only "work" required is to rearrange this equation to whatever form you may want. In standard form it is x +3y = 18.

Answer:

$364.93

Step-by-step explanation:

The accrued value of a principal using compound interest is given by:

\(A = P(1 + r)^t\\\)

where

compounding is done annually and

P = principal

r = annual interest rate as a decimal

t = number of years

Given
P =  $4427
r = 2 = 0.02

t = 4 years

A = 4,427.00(1 + 0.02)⁴

A = 4427(1.02)⁴

A = $4,791.93

Interest earned = A- P =  $4,791.93 -   $4,427.00 = $364.93

The probability that a student chosen randomly from the class does not have an A is  5/11.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a student chosen randomly from the class does not have an A  = total number of students that do not have an A / total number of students

Total number of females that do not have an A = 9 - 7 = 2

(8 + 2) / 22

= 10 / 22 = 5/11

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Answer:

15/22

Step-by-step explanation:

The equation of the given circle is: (x - 5)² + (y+ 1)² = 256

The center-radius form (most formally called the standard form) of a circle is usually expressed as;

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

We are given a circle with center T(5,-1) and a radius of 16 units

The equation then becomes:

(x - 5)² + (y - (-1))² = 16²

(x - 5)² + (y+ 1)² = 256

Thus, we can conclude that is the equation of the circle.

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Answer:

2

Step-by-step explanation:

the rate of change is basically the slope. In this equation the coefficient of x is the slope. The coefficient of x is 2. So 2 is your slope

Answer:

2 slices

Step-by-step explanation:

2/8=1/4 which is 2 slices

Answer:

2/8

2 slices

Step-by-step explanation:

The solution to the system of equation is (14, 6)

1 / 2 x = 10 - 1 / 2 y

8 = x -y

Therefore, let's combine the equation.

1 / 2 x + 1 / 2 y = 10

x - y = 8

x + y = 20

x - y = 8

2y = 12

y = 12 / 2

y = 6

x = 20 - 6

x = 14

Therefore, the solution of the system of equation is (14, 6)

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We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

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The candidate key for the relation schema R(A,B,C,D,E): A→B, C→B, D→A, D→B, D→C, C→D, D→E.

Candidate key for the given relation: To find the candidate key for the relation schema R(A,B,C,D,E), we need to follow the below steps:

Here, we have the following functional dependencies: A→B, C→B, D→ABC, AC→D, D→E.

Step 1: To normalize the given dependencies, we have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To check for the minimal dependency, we can eliminate the redundancy by eliminating D→ABC. Therefore, we have the following dependency:

A→B, C→B, D→A, D→B, D→C, D→E.

Step 3: Find the closure on each attribute, which is as follows:

1. A+ = {A,B}

2. B+ = {B}

3. C+ = {B}

4. D+ = {A,B,C,D,E}

5. E+ = {E}

Step 4: The combination of attributes that have all attributes of the relation schema, and it will be a candidate key is AD. Therefore, the candidate key is AD.

Compute the minimal cover of F:

Minimal Cover: The minimal set of dependencies that is equivalent to the given set of dependencies is the minimal cover.

We have the following functional dependencies:

A→B, C→B, D→ABC, AC→D, D→E.

The process to compute the minimal cover of F is as follows:

Step 1: To find the redundant dependencies, we need to split the dependencies. We have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E  becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To eliminate the dependencies with three attributes, we can use the following steps:

If X→YZ, then X→Y and X→Z.

Therefore, we have the following dependency:

D→A, D→B, D→C.

Step 3: To eliminate the dependency with two attributes, we can use the following steps:

If X→Y and Y→Z, then X→Z.

We have the following dependency: AC→D, C→D.

Step 4: Therefore, the minimal cover of F is A→B, C→B, D→A, D→B, D→C, C→D, D→E.

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The values are calculated as Part A : $3611.6245, Part B : 21.81% and Part C : $1107.75.

Mark Down percentage is the percentage of reduction in the original price of an item.

Mark down percentage = [(original price - selling price) / original price] × 100

Part A :

Original price = $4248.97

Markdown = 15%

0.15 = (4248.97 - x) / (4248.97)

4248.97 - x = 637.3455

x = 4248.97 - 637.3455

x = $3611.6245

Reduced price of the refrigerator is $3611.6245.

Part B :

Selling price = $1270.55

Original price = $1625

Mark up percentage = [(1625 - 1270.55) / (1625)] × 100

                                  = [354.45 / 1625] × 100

                                  = 21.81%

Part B :

Selling price = $886.20

Mark down percentage = 20%

0.2 = (x - 886.2) / x

0.2x = x - 886.2

x - 0.2x = 886.2

0.8x = 886.2

x = $1107.75

Hence the selling price, mark down percentage and original price has been calculated as $3611.6245, 21.81 % and $1107.75 respectively.

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Answer:

56 degrees

Step-by-step explanation:

The angles are all supplementary, so they add up to 180 degrees. Subtract 90 and 34 from 180 to get your answer.

Answer: 18 years

Step-by-step explanation:

The Rule of 72 is a way to calculate how long it will roughly take for an investment to double in size.

It works by dividing 72 by the interest rate as a whole number:

= 72/ interest rate

= 72 / 4

= 18 years

The number of minutes used when both charges are the same is 250 minutes.

Let's assume the number of minutes used for local calls is represented by "m".

For the first telephone company, the total cost is the monthly fee of $20 plus $0.05 per minute:

Total cost for Company 1 = $20 + $0.05m

For the second telephone company, the total cost is the monthly fee of $25 plus $0.03 per minute:

Total cost for Company 2 = $25 + $0.03m

We want to find the number of minutes used when the total costs for both companies are the same. Therefore, we can set up an equation:

$20 + $0.05m = $25 + $0.03m

To solve for "m", we can simplify the equation by moving all terms with "m" to one side of the equation:

$0.05m - $0.03m = $25 - $20

0.02m = $5

Now, we can solve for "m" by dividing both sides of the equation by 0.02:

m = $5 / 0.02

m = 250

Therefore, the number of minutes used when both charges are the same is 250 minutes.

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A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

Given:

The number of members in the band was 82 in 2000.

The number of members decreased by 8% each year.

Required:

We need to find the model for the given situation.

Explanation:

Let t be the number of years since 2000.

Let y be the number of members in t number of years since 2000.

The initial value is 82.

The number of members is decreasing.

Consider the exponential decay equation.

Final answer:

Answer:

you have nicce  pappeeerrrr

Step-by-step explanation:T-T X_X X_X

Answer:

twin bed=66 square units

Step-by-step explanation:

Answer:

23 cats

Step-by-step explanation:

So the ratio is basically saying that for every 4 dogs at the store there is one more cat, or 5 cats. 16 dogs there would be 20 cats. 18 dogs there would be approximately 23 cats if you would round up.