What are period and amplitude for the function

PLEASE ANSWER BOTH QUESTIONS I WILL GIVE You the

Answer:

[tex]y = - 2x + 8[/tex]

Step-by-step explanation:

The given equation is

[tex]y = - 2x + 3[/tex]

This is the equation of line b.

We want to find the equation of line c, after b is dilated by scale factor of 2 with center (0,-2).

Note that line c and b still have the same because they are parallel.

Also the y-intercept of b is 3.

The distance of the y-intercept of line b from the center of dilation is 5.

After a dilation by scale factor of 2, the y-intercept of c will be 2(5) =10 units from the center.

The y-intercept of c will therefore be:

10+-2=8

The equation c is

[tex]y = - 2x + 8[/tex]

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]

Solution:

Given expression:

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]

To solve the given expression:

First simplify: [tex]\frac{50-2 w^{2}}{3 w^{2}+9 w-30}[/tex]

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}[/tex]

Cancel the common factor (w + 5).

                      [tex]$=-\frac{2(w-5)}{3(w-2)}[/tex]

Now substitute this in the given expression.

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]

Multiply the fractions [tex]\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}[/tex]

                               [tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}[/tex]

Factor the denominator [tex]3(w-2)(6 w-30) =18(w-2)(w-5)[/tex]

                               [tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}[/tex]                        

Cancel the common factor 2(w – 5).

                               [tex]$=-\frac{w^{2}+5 w-14}{9(w-2)}[/tex]

Factor the numerator [tex]w^{2}+5 w-14=(w-2)(w+7)[/tex]

                               [tex]$=-\frac{(w-2)(w+7)}{9(w-2)}[/tex]

Cancel the common factor (w – 2).

                               [tex]$=-\frac{w+7}{9}[/tex]

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]

Answer: 41 1/4

Step-by-step explanation: 160/4=40

5/4= 1 1/4

LIKE IF CORRECT

Answer:

[tex]\frac{2}{1}[/tex]

Step-by-step explanation:

[tex]\frac{2}{1} = 2[/tex]

If a fractions denominator is a one that means the fraction is equal to the numerators whole number in this case we have 2/1 since the denominator is a 1 that means the whole fraction is equal to 2 because the numerator is 2.

Hope this helps.

Answer:

3 dollars

Step-by-step explanation: divide 25 by .12=3.00

Answer:

$3

Step-by-step explanation:

25 X 1.12 = 28       $28-$25= 3 dollar difference.

(0.12 is the decimal form of 12%)

Answer:

0.64

Step-by-step explanation:

Sine and cosine of angles are complimentary

This means

Sin x = Cos (90-x)

Cos x = sin (90 - x)

Therefore sin 40 = 0.64

Sin 40 = cos (90 - 40)

Sin 40 = cos 50

Cos 50 = 0.64

I hope this was helpful, please mark as brainliest

Answer:

7/4

Step-by-step explanation:

Parallel lines have the same slope, so all you have to do is find the slope of A.

The slope of A is (9-2)/(10-6) = 7/4

Answer:

7/4

Step-by-step explanation:

Have a nice day :)

using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.

We can use the Law of Cosines to find the length of side ( p ) (opposite angle[tex]\( \angle P \))[/tex] when we know the lengths of the other two sides [tex]\( q \) and \( r \)[/tex] and the angle [tex]\( \angle P \)[/tex].

The Law of Cosines formula is:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos(C) \][/tex]

In this case, we want to find the length of side \( p \), so we'll use \( p \) as the side opposite angle \[tex]( \angle P \), \( q \) as side \( q \), and \( r \) as side \( r \)[/tex].

Substitute the given values into the Law of Cosines formula:

[tex]\[ p^2 = q^2 + r^2 - 2qr \cos(\angle P) \]\[ p^2 = (6.0)^2 + (7.2)^2 - 2(6.0)(7.2) \cos(27^\circ) \]\\[/tex]

Now, calculate the value of \( p \):

[tex]\[ p^2 = 36 + 51.84 - 86.4 \cos(27^\circ) \][/tex]

Using a calculator, find \( \cos(27^\circ) \approx 0.891 \):

[tex]\[ p^2 = 36 + 51.84 - 86.4 \times 0.891 \]\[ p^2 = 36 + 51.84 - 77.02 \]\[ p^2 = 10.82 \][/tex]

Take the square root of both sides to solve for \( p \):

[tex]\[ p = \sqrt{10.82} \approx 3.29 \][/tex]

So, using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.

Answer:

On Graph B, at 0 seconds, the graph will be 0 or nothing.

Then the graph will increase until 2 seconds.

Answer:

On Graph B, at 0 seconds, the graph will be 0 or nothing.

Then the graph will increase until 2 seconds.

Step-by-step explanation:

Answer: diameter =20ft

Step-by-step explanation:

Answer:

four x minus ten

Step-by-step explanation:

4x = four x

-10 = minus ten

Answer:

Four times a number x minus 10

Answer:             -3 degrees

Step-by-step explanation:

Lets say that the original temperature was "x."

The temperature rose by 11 degrees so it is now at 11+x.

Then the temperature fell by 14 degrees so you subtract. 11+x-14

11-14= -3 so you subtract 3 degrees from the original temperature and there fore the relative temperature is -3

I hope this helps!!!

Answer:

hemisphere.

Step-by-step explanation:

it is a hemisphere with radius=5 units.

or hemisphere with diameter=10 units

Answer:

A semisphere (half sphere) with diameter 10 units

Step-by-step explanation:

Answer:4960

Step-by-step explanation:

Answer:

Look below

Step-by-step explanation:

Searched it up.

66

Answer:

First choice A : 2x +3y is less than or equal to 18. x greater than or equal to 0. y greater than or equal to 0.

If fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.

A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used.

Given that, fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol.

The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.

Thus, if fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.

Learn more about inequality here,

https://brainly.com/question/28823603

#SPJ2

1. Remove parentheses

-3x^2 + x^4 + x + 2x^4 - 7 + 4x

2. Collect like terms

-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7

3. Simplify

-3x^2 + 3x^4 + 5x - 7

Answer:E

Step-by-step explanation:

All of the above

Final answer:

The correct answer is E. All of the above.

There are several different ways to factor a quadratic expression.

Explanation:

There are several different ways to factor a quadratic expression:

Therefore, the correct answer is E. All of the above.

Answer:

m = -1/2

Step-by-step explanation:

It moves right 2 and down 1.

Answer: slope is -1/2

Step-by-step explanation:

Answer:

62 inches

Step-by-step explanation:

Answer:

1. 13 2. 10

Step-by-step explanation:

The area of the smallest square is one quarter of the original square if its height and width are each half of the original.

Using geometrical shapes' proportional relationships, the area of a scaled-down square is calculated by squaring the factor by which the dimensions are reduced.

The area of the smallest square can be determined by comparing it with the area of a larger square.

If the dimensions (height and width) of the smallest square are half that of the original square, then its area is a quarter (1/4) of the original square.

This is because area is a two-dimensional measurement, hence when both dimensions are halved, the area is reduced by a factor of 2×2, which equals 4.

For instance, if we consider a square with an area represented by T2, and we know that the smallest square has half the height and half the width, we can calculate its area as (1/2T)×(1/2T) = T2/4.

If the area of a larger square is 4 m2, halving the dimensions will lead to an area of 1 m2 for the smallest square.

This concept is applicable to any geometrical shape where the dimensions are reduced proportionally.

The scaling down of dimensions and the resulting area calculation is a key concept in understanding how areas of similar planar figures relate to each other.

Answer:

5y

Step-by-step explanation:

All you have to do is subtract 1 from both side so subtract 1 from one side than the other. If you have to find out what y equals, then after subtracting, divide 5 from both sides and y would equal 5. Hope this helped

Answer:

1)  If you want to solve the equation, x is 0/5 or 0

2) If you want to subtract 1, the answer is 5y = 0

Step-by-step explanation:

1)  5y + 1 = 1

        5y = 0

2) 5y + 1 = 1      Subtract both sides by 1

         5y = 0     Isolate the variable by dividing 5 on both sides

            y = 0/5 or 0

Answer: Therefore, approximately 225/8 tiles will be needed along the 9 3/8 foot wall.

Step-by-step explanation:

To determine how many tiles will be needed along the 9 3/8 foot wall, we need to find the number of tiles that can fit in that space.

First, let's convert the mixed number 9 3/8 to an improper fraction. To do this, we multiply the whole number (9) by the denominator (8) and add the numerator (3):

9 * 8 + 3 = 75/8

Now, we have the length of the wall as 75/8 feet.

To find the number of tiles needed, we divide the length of the wall by the length of each tile. The length of each tile is 1/3 foot.

Dividing 75/8 by 1/3, we multiply the first fraction by the reciprocal of the second fraction:

(75/8) / (1/3) = (75/8) * (3/1)

Simplifying the calculation, we get:

(75 * 3) / (8 * 1) = 225/8

Therefore, approximately 225/8 tiles will be needed along the 9 3/8 foot wall.

To tile a 9 3/8 foot wall with 1/3 foot square tiles, 282 tiles are needed.

The question is asking how many 1/3 foot square tiles will be needed along a 9 3/8 foot wall in your rectangular room. To find the answer, we first need to convert the length of the wall, which is given in mixed number, into an improper fraction. So, 9 3/8 is equal to 75/8 feet. Since each tile covers 1/3 foot, the number of tiles needed along the wall will be total distance divided by the length covered by each tile.

Therefore, the number of tiles = (75/8) ÷ (1/3) = (75/8) * (3/1) = 281.25

However, because we can't use a fraction of a tile, this number needs to be rounded up. Hence, you'll need 282 tiles to cover the 9 3/8 foot wall.

https://brainly.com/question/33512543

#SPJ11

Answer:

Slope = 3/2 or 1.5

Step-by-step explanation:

(0,1) (2,4) (6,10)

Slopes:

(4-1)/(2-0) = 3/2

(10-4)/(6-2) = 6/4 = 3/2

(10-1)/(6-0) = 9/6 = 3/2

Any two points on the line will give the same slope because a straight line has a constant slope

Answer: 5x < 65

Step-by-step explanation: please give brainliest hope it helps and thankyou

Answer:

5x < 65

Step-by-step explanation:

Because 5*some number, you could use x.  then the less than symbol means that 5x is less than 65

Answer:

F' (2, 0 )

Step-by-step explanation:

A translation < 5, - 1 > means add 5 to the x- coordinate and subtract 1 from the y- coordinate, that is

F(- 3, 1 ) → F'(- 3 + 5, 1 - 1 ) → F'(2, 0 )

The image of the point F(-3, 1) after being translated along the vector <5, -1> is (2, 0). The process involves adding the vector components to the original point's coordinates.

The initial point on the coordinate system is F(-3, 1). A translation moves a point by a specific vector. This vector is <5, -1>, meaning we move the point 5 units to the right and 1 unit down.

To perform the translation, we add the components of the vector to the coordinates of the original point. So, we add 5 to the x-coordinate (-3) and -1 to the y coordinate (1). This gives us the following results:

So, the image of F(-3, 1) after being translated along the vector <5, - 1> is the point (2, 0).

https://brainly.com/question/31905247

#SPJ3

Answer:

0.008375

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

8.375 can be written as

8375/1000

8375/ 10³

put in q

8375×10 power -3 × 10 power -3

8375× 10 power -6

0.008375

Answer:

Step-by-step explanation:

The arc of a circle is a portion of the circumference of a circle and the radius is a straight line from the center of a circle to the circumference of a circle.