Graph the function.
f(x) = 3 sin (x)
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

The length of each side of the square is (3x-2) units

The dimensions of the rectangle are (5x + 4y) and (5x -4y) units

From the question, we are to factor out the given expression for the area of the square

The expression is

9x² − 12x + 4

Factoring

9x² − 12x + 4

9x² −6x -6x + 4

3x(3x -2) -2(3x-2)

(3x -2)(3x -2)

Hence, the length of each side of the square is (3x-2) units

Part B:

The given expression is

25x² − 16y²

Factoring

25x² − 16y²

By difference of two squares, we get

(5x + 4y)(5x -4y)

Hence, the dimensions of the rectangle are (5x + 4y) and (5x -4y) units

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Answer:

e.

Step-by-step explanation:

it can be simplified to 7a-7b

Answer:

its none

Step-by-step explanation:

Answer:

none of these answers are correct.

Answer:

a) 201s / 1000

b) 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2

Step-by-step explanation:

Total de miembros de la familia = 4

Ganancia de la madre = s / 1000 por mes

Ganancia del papa = s / 40 por semana

Ganancia por venta de huevos = s / 10

Ganancia total por mes = s / 1000 + s / 40 * 4 + s / 10 = s / 1000 + s / 10 + s / 10 = 201s / 1000  

Gasto-

Servicio - S / 250 * 4 = 4s / 250

ropa - 4S / 40

servicios de agua - 4S / 30

Electricidad - 4S / 100

paquete de teléfono, internet y cable - S / 120

gas - S / 40

alimento para pollos - S / 15 cada mes

higiene personal 4S / 20

4 mascarillas de tela - 4S / 10

4 litros de alcohol - 4 S / 8

3 litros de lejía - 3S / 5

Gastos totales = 2s / 125 + s / 10 + 2s / 15 + s / 25 + s / 120 + s / 40 + s / 15 + s / 5 + 2s / 5 + s / 2 + 3S / 5

Gasto total = 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2

Answer:

b

Step-by-step explanation:

triangle B is two units down on the y axis.

if triangle B was not two units down, it would be a mirror image to triangle A across the y-axis.

together it makes a reflection across y-axis as well as translated 2 units down

Answer:

A = 68

B = 44

Step-by-step explanation:

The sum of the angles of a triangle add to 180

A+B+C =180

x + x-24 +68 = 180

Combine like terms

2x+44 =180

Subtract 44 from each side

2x+44-44= 180-44

2x = 136

Divide by 2

2x/2 = 136/2

x = 68

A = x = 68

B = x-24 =44

Answer: I’m confused with A but I’m 100% sure B is 44 I hope this helped

Step-by-step explanation:

Answer:

D) [tex]x^{2} =8y[/tex]

Step-by-step explanation:

Because the receiver of the parabolic dish antenna is 2 feet above the vertex, the parabola must be vertical. Therefore, we will use the equation [tex](x-h)^2=4p(y-k)[/tex] where [tex](h,k)[/tex] is the vertex of the parabola and [tex](h,k+p)[/tex] is the focus point. Since we are given that the receiver is 2 feet above the vertex which is located at the focus point and the vertex is [tex](0,0)[/tex] at the origin, then the focus point is [tex](0,0+p)[/tex] where [tex]p=2[/tex]. Therefore, the equation that models a cross section of the dish is [tex]x^{2} = 8y[/tex].

Answer:

12 apple pies

Step-by-step explanation:

If he uses 6 apples for each pie and he has 12 bags of apples with 6 apples in each bag, then we can infer that each bag is one pie.

So, 1x12 = 12 apple pies

Hope this helped :)

Answer:

( [tex]\frac{1}{2}[/tex], 0 )

Step-by-step explanation:

To find the x- intercepts let y = 0, that is

2x² + 3x - 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 2 = - 4 and sum = + 3

The factors are + 4 and - 1

Use these factors to split the x- term

2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )

2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term

(x + 2)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

The x- intercepts are (- 2, 0 ), ( [tex]\frac{1}{2}[/tex], 0 )

Answer:

$60

Step-by-step explanation:

Answer:

1.

3x+7x+2

=E.10x+2

when x=6

10*6+2

=62

2.

4y+5+2y

=A.6y+5

when y=3

6*3+5

=23

3.

9+x+4x

=E.5x+9

when x=8

5*8+9

=49

4.

8y+3+4y

=S.12y+3

when y=4

12*4+3

=51

5.

9x+5+x+8

=E.10x+13

when x=7

10*7+13

=83

6.

4y+8y+6+2y

=A.14y+6

when y=2

14*2+6

=34

7.

4x+2y+7x+3

=E.11x+2y+3

when x=3 &y=4

11*3+2*4+3

44

8.

8+3x+x+5y

=B.4x+5y+8

when x=8,y=5

4*8+5*5+8

=65

9.

9x+6y+5x+4y

=U.14x+10y

when x=7,y=9

14*7+10*9

=188

10.8+6x+4+8y

=H.6x+8y+12

when x=1,y=6

6*1+8*6+12

66

11.

3x+2y+4+9y

=H.3x+11y+4

when x=8,y=4

3*8+11*4+4

72

12.

4x+5y+7x+5+2y

=E.11x+7y+5

when x=2,y=3

11*2+7*3+5

=48

13.

9+8x+3y+3+5y

=C.8x+8y+12

x=7,y=5

8*7+8*5+12

=108

14.

x+6x+2y+1+9y

=F.7x+11y+1

when x=6,y=9

7*6+11*9+1

=142

15.

6x+2y+5y+7+y

=H.6x+8y+7

when

x=8,y=1

6*8+8*1+7

=63

16.

8x+8y+x+6y+4x

=S.13x+14y

when x=1,y=2

13*1+14*2

=41

17.

3x+8+4y+7+3x

=C.6x+4y+15

whenx=9,y=6

6*9+4*6+15

=93

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

Answer:

It is a many-to-one function.

Step-by-step explanation:

Step-by-step explanation:

There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)

When choosing a dog from random, you can either choose:

Brown/M

Brown/F

Black/M

Black/F

Yellow/M

Yellow/F

(This list is called the Sample Space, a list of all possible outcomes)

Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.

When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.

Answer:

$.40 cents in nickels and $1.50 (or 150 cents) in quarters in total she would have $1.90 in cents he would have 190 cents in total

Step-by-step explanation:

you would do 8x5 to get 0.40 cents and then do 6x25 to get $1.50 so she will

Step-by-step explanation:

29/8= 3.625

It lies between 3 and 4

Hope this helped!

Answer:

Between 3 and 4 pieces of fabric.

Step-by-step explanation:

29/8 is equal to 3.625, which you can round up to 4 or round down to 3, since they are both the nearest whole numbers to 3.625.

Answer:

$117,351 JMD

Step-by-step explanation:

It is simple. 1 US dollar is 150.45 JMD, so 780 US dollars should be:

780 * 150.45 = 117,351

Step-by-step explanation:

$1US dollar=$150.45JMD

$780US dollars=?

=$150.45×$780

=$117,351

Answer:

I the answer would be 150 millimeters.

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

Work Shown:

1 cm = 10 mm

15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15

15 cm = 150 mm

Answer:

[tex]y=-\frac{5}{2}x-4[/tex]

Step-by-step explanation:

[tex]slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}[/tex]

[tex]y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4[/tex]

Answer:

45

Step-by-step explanation:

5*60=300 minutes

300/300=1

means he makes 1 in one minute

so 45 for 45

Answer:

Step-by-step explanation:

7x-11=4x+4(being vertically opposite abgles)

7x-4x=4+11

3x=15

x=15/3

x=5

angle 2+angle1=180 degree(being straight line)

7x-11+angle 1=180

7*5-11+angle 1=180

35-11+angle1=180

24+angle 1=180

angle 1=180-24

angle 1=156 degree

By using Pythagorean's theorem we will find that the measure of AC = 5.66 units.

Remember that for any right triangle with an hypotenuse H and two legs A and B, the Pythagorean theorem says that:

A^2 + B^2 = H^2

Here we know that:

AB = 4

BC = 4

Because these two have the same length, we know that these two must be the legs, then AC (the side we want to find) is the hypotenuse.

Then we can write:

4^2 + 4^2 = AC^2

16 + 16 = AC^2

√(16 + 16) = AC

√32 = AC

5.65 = AC

The measure of the hypotenuse of the right triangle is 5.66 units.

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Answer:

Given b=1.7 and ∠β=39°,

So

x = 2.70133

Answer:

Step-by-step explanation:

??

Answer:

0.75

Step-by-step explanation:

you said it was 0.75

Answer: 98.1

Step-by-step explanation:

Given: mass= 970 gm

Time = 14 min

rate of decay= 15.1% per minute.

Now, computing to get amount of element remaining after 14 minutes.

Formula; Element remaining=

Element remaining=

⇒ Element remaining=

⇒ Element remaining= ≅ 98.1 (nearest 10th of a gram)

∴ 98.1 element is still remaining after 14 minutes.

Answer:

98.1

Step-by-step explanation:

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Answer:

b is 285

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Since the angles are equal, the side lengths are equal  (isosceles triangle)

12 =6x

Divide by 6

12/6 = 6x/6

2= x