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Answer:

the 2 numbers are 12 and -9

Step-by-step explanation:

x + y = 3

x - y = 21    Adding:-

2x = 24

x = 12

y = 3 - x = 3  12 = -9

Answer the 2 numbers are 12 and -9

Answer:

The numbers are 12 and - 9.

Step-by-step explanation:

12 - 9 = 3

- 9 to 12 is 21

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

Recall that the following points represent the same point as the point (x,θ)

Now, notice that:

Therefore, the point:

represent the same point as the point

Answer: Option B.

Answer:

What is acceleration?

Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”

Step-by-step explanation:

Answer:

1. true - dilating figures does not change their angle measure

2. true - dilating figures does not change the orientation, so AD would still be on a horizontal line parallel to its current position

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

no it  is just a equation it is trolling you

Step-by-step explanation:

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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Answer:

y=2.4

Step-by-step explanation:

7y-2=2y+10

7y-2y=10+2

5y=12

y=12/5=2.4

The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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The basketball player is 31 centimeters taller than Mr. Vega.

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena. Measurement is a fundamental aspect of mathematics, science, engineering, and many other fields, and it plays an important role in everyday life. In order to make measurements, a system of units is necessary.

To find how much taller the basketball player is than Mr. Vega, we need to subtract Mr. Vega's height from the basketball player's height:

Basketball player's height - Mr. Vega's height = 216 cm - 185 cm = 31 cm

Therefore, the basketball player is 31 centimetres taller than Mr. Vega.

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Answer:

Step-by-step explanation:

Answer: The answer is The secondhand account is more formal.

Step-by-step explanation:

Answer:

The secondhand account is more formal.

Step-by-step explanation:

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Your number line can be broken apart by using a measuring thing like a scale.

What is a number line?

By aligning the numbers on a line, a number line allows you to visualize the size of the numbers. Typically horizontal in shape, a number line has zero in the center. The numbers are increasing and positive as you move to the right. The numbers rise and become more and more negative as you move to the left.

Why do we need a number line?

Number lines offer a method for mentally adding and subtracting. It's simple to imagine them as a type of support system for those in need, but this is untrue. These are crucial because they encourage effective mental arithmetic techniques, according to research.

So by using a scale you can measure the distance accurately and place the numbers in accurate positions.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer:

15 feet 1 inch

Step-by-step explanation:

Given :

Length of boards placed end to end :

Board 1 = 4 feet 5 inches

Board 2 = 6 feets 9 inches

Board 3 = 3 feets 11 inches

The length is the addition of the lengths of the 3 boards :

4 ft 5in + 6 ft 9 in + 3 ft 11 in

(4+6+3) ft + (5+9+11) in

13ft + (25in)

1 ft = 12 in

25 in = 2 ft 1 in

13 ft + 2ft 1 in

15 ft 1 in

The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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Answer:

A or d to narrow it down

Step-by-step explanation:

Hopefully you can figure out which one I am sorry.

1)The number of milk chocolate that sold last week is = \(25\frac{2}{3}\) B is correct

2)white chocolate at the candy store last week is 19.

Last week, a candy store sold \(5\frac{1}{3}=\frac{16}{3}\) pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate.

The number of milk chocolate did the candy store sell last week.

Since the candy store sold 4 times as much milk chocolate as white chocolate, it sold:

\(4 *\frac{ 19}{3 } =\frac{ 76}{3}\\ pounds\ of\ milk\ chocolate.= 25 \frac{2}{3}\)

option B is correct.

2)

To find out how many more pounds of milk chocolate were sold than white chocolate at the candy store last week, we can subtract the amount of white chocolate sold from the amount of milk chocolate sold:

\(\frac{76}{3} - \frac{19}{3} \\= \frac{57}{3}\\ = 19\ pounds.\)

option C is correct

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The diagram of the sinusoidal function created by plotting the points generated using MS Excel is attached

a) Amplitude \({}\)          3          

b) Period    \({}\)            2·π/3      

c) Phase shift      \({}\)    π/3          

d) Range      \({}\)           -5 ≤ f(x) ≤ 1

e) y-intercept      \({}\)   (0, 1)        

A sinusoidal function is a periodic and smoothly oscillating function based on the sine or cosine of an angle.

The sinusoidal function is; f(x) = 3·sin(3·x - 3·π/2) - 2

Please find attached the diagram of the above sinusoidal function created with MS Excel.

The general form of a sinusoidal function can be presented as follows;

y = a·sin(b·(x - h)) + k

Where;

a = The amplitude

The period, T = 2·π/b

b = The angular frequency, (The period factor)

h = The horizontal shift

k = The vertical shift

The equation (3·x - 3·π/2) = (b·(x - h)) indicates;

3·(x - π/2) = b·(x - h)

b = 3

Therefore, by comparison to the general sinusoidal function, we get;

a) The amplitude, a = 3

b) The period, T = 2·π/3

c) The horizontal shift, h = -π/2

The vertical shift, k = -2

The range, which is the set of the possible y-values which is the inequality with an interval of the peak and trough is; (3 × (-1) - 2 ≤ f(x) ≤ 3 × 1 - 2

-5 ≤ f(x) ≤ 1

d) The range is; -5 ≤ f(x) ≤ 1

e) The y-intercept is the point of intersection with the y-axis

The x-value of the y-intercept is x = 0, therefore;

The y-value of the y-intercept is; f(0) = 3·sin(3×0 - 3·π/2) - 2

f(0) = 3·sin(- 3·π/2) - 2 = 3 - 2 = 1

The y-intercept is; (0, 1)

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Answer:

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Answer:

C

Step-by-step explanation:

Answer:

  (d)  y = 3x² +2x -6

Step-by-step explanation:

The equation of a parabola through thee points can be found different ways. One is to use a quadratic regression tool. Another is to write and solve linear equations in the coefficients. (3 equations in 3 unknowns).

__

Here, we can eliminate answer choices that don't work to arrive at the correct answer choice.

The point (0, -6) is the y-intercept of the function. That means the value of the constant term in the quadratic is -6. (Eliminates A and C.)

The y-values of the other two points are both greater than -6, indicating the parabola opens upward. That means the leading coefficient is positive. (Eliminates B.)

The only reasonable choice is D:

  y = 3x² +2x -6

__

Additional comment

You get the same answer if you use a regression tool.

Answer:

\(y = 3\, x^{2} + 2\, x - 6\).

Step-by-step explanation:

In general, the equation of a parabola is in the form \(y = a\, x^{2} + b\, x + c\) for some constants \(a\), \(b\), and \(c\), where \(a \ne 0\).

Let \(y = a\, x^{2} + b\, x + c\!\) denote the equation of this parabola for some constants \(a\), \(b\), and \(c\) where \(a \ne 0\). A point \((x_{0},\, y_{0})\) is on this parabola if and only if the equation of this parabola holds after substituting in \(x = x_{0}\) and \(y = y_{0}\):

\(y_{0} = a\, {x_{0}}^{2} + b\, x_{0} + c\).

Thus, each of the three distinct points on this parabola would give a equation about \(a\), \(b\), and \(c\):

Simplify the equations:

\(\left\lbrace\begin{aligned}& 9\, a - 3\, b + c = 15 \\ & c = 6 \\ & 4\, a + 2\, b + c = 10\end{aligned}\right.\).

Solve this linear system of three equations and three unknowns for \(a\), \(b\), and \(c\):

\(\left\lbrace \begin{aligned} & a = 3 \\ & b = 2 \\ & c = (-6) \end{aligned}\right.\).

Therefore, the equation of this parabola would be:

\(y = 3\, x^{2} + 2\, x - 6\).

Answer: 33

Step-by-step explanation: I promise its right i got you

Answer:

option A

Explanation:

Answer:

A

Step-by-step explanation:

Radius: the distance from the center of a circle to any point on the circumference

Diameter: the longest distance from one side of a circle to another.

Center: the center of the circle

Answer:

1. 3

2. 0, 620

3. Positive

4. 2006

5. 2637