What are the domain and the range of this function?

D : _ _ x: _ _
R: _ _ Y: _ _

for a test

Answer:6

Step-by-step explanation:

The base is 3 and the height is 4

3*4/2 = 6

Answer:

6 units^2

Step-by-step explanation:

The base (segment DE) is 3 units.

The height is 4 units. (From point F going horizontally until it intersects segment DE)

Formula for area of a triangle: (1/2)BH

(1/2)(3)(4) = (1/2)12 = 6

Answer:

4

Step-by-step explanation:

1 1/2 ÷ 3/8

Change to an improper fraction

3/2 ÷ 3/8

Copy dot flip

3/2 * 8/3

Cancel like terms

8/2

4

Answer:

4

Step-by-step explanation:

all work is in the image below!

Factor the numerator and denominator and cancel the common factors.

Answer:

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation:

Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:

PA + PB = 2a

PA = 2a - PB

PA² = 4a² + PB² – 4a ∙ PB

PA² – PB² = 4a² – 4a ∙ PB

[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB

-4hc = 4a² – 4a∙PB

a ∙ PB = a² + hc

Taking square

a² ∙ PB² = (a² + hc)²

a² [(h + c)² + (k - 0)²] = (a² + hc)²

a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²

a²h² – h²c² + a²k² = a⁴ – a²c²

(a² – c²)h² + a²k² = a² (a² – c²)

h²/a² + k²/(a² – c²) = 1

Therefore, the required equation to the locus of P is

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Answer:

A. 1.0

B. 1.3

C. 2.2

D. 13.0

Answer:

B.

Step-by-step explanation:

Answer:

5x^5

Step-by-step explanation:

45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5

The right answer is 5x^5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Percent of error = 4.80% (Approx)

Step-by-step explanation:

Given:

Mass of sample = 109 gram

Actual mass of sample = 104 gram

Find:

Percent of error.

Computation:

Error = Mass of sample - Actual mass of sample

Error = 109 gram - 104 gram

Error =5 gram

Percent of error = (Error / Actual mass of sample)100

Percent of error = (5 / 104)100

Percent of error = 4.80% (Approx)

Answer:  the slope is up 1 and to the right 2, or if your going the opposite direction it would be down 1 and to the left 2

Answer:

1/2

Step-by-step explanation:

Slope is change in y over change in x.  The change in Y is 2.5 - 1= 1.5 .The change in X is 1 - (-2)= 3 .  Therefore, the slope is 1.5/3 which simplifies to 1/2

Answer:

She uses 7.5 feet of twine to make 3 bundles of wood.

The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are y = 6x - 11 and

- 2x – Зу = -7

substitute y value in second equation.

-2x-3(6x-11)=-7

Apply distributive property

-2x-18x+33=-7

Combine the like terms

-20x+33=-7

Subtract 33 from both sides

-20x=-7-33

-20x=-40

Divide both sides by 20

x=2

Now subtract x=2 in equation 1

y=12-11=1

Hence,  the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

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9) obtuse 10) isosceles

Answer:

x + 5x = 14

6x = 14

x = 14/6

x = 7/3

Step-by-step explanation:

________________________________

Hey!!

Solution,

Diameter=40 mm

Radius=40/2=20mm

Height=30mm

Volume of cylinder=?

Now,

Volume of cylinder=pi (r)^2 h

= 3.14*(20)^2*30

=3.14*400*30

=37,680 mm^3

So the right answer is of option A

hope it helps

Good luck on your assignment

__________________________________

Answer:

37,680 mm3

Steps:

Formula: Volume = Area * height

1:    = (pi/4)*D^2 * h

2:   = (pi/4)*(40)^2 * 30  

3:    = 37,680 mm3

Description:

We know that r is the radius and h is the height. So the

radius of the cylinder going to be r=40/2=20mm

Height of cylinder: 30mm

Meaning when you add up all the numbers answer will come as  37,680 mm3.  So a is the right answer for this question.

Answer: A.   37,680 mm3

Please mark brainliest

Hope this helps.

The values of f and g are;

f = 6

f = 6g = 8

We are given the trapezium ABCE where;

AD is parallel to BC

DE = 4 cm

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

f and g are sides of the rectangle ABCD. Thus;

fg = 48 - - - (eq 1)

Also,for the trapezium ABCE;

½(g + g + 4)f = 60

(2g + 4)f = 120 - - - (eq 2)

From eq 1, f = 48/g

Thus;

(2g + 4) × (48/g) = 120

96 + 192/g = 120

192/g = 120 - 96

192/g = 24

g = 192/24

g = 8

Thus;

8f = 48

f = 48/8

f = 6

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Answer:

216 ft²

Step-by-step explanation:

For this question, first find the area of the outsides of the square walls.

Since the cube has side lengths of 6, we can simply find the area of each wall. Remember, for a square, A = s².

A = 6²

A = 36. This is the area for each side of the wall. Since she is painting 4 walls, we can multiply this by 4.

36 ×4 = 144.

To find the area of the ceiling, we will need to use the formula for the area of a triangle : A = 1/2(bh). The base in the figure would be 6, and the height is also 6.

A = 1/2(6 ·6)

A = 1/2 (36)

A = 18. Therefore, each part of the ceiling is 18. Since the base is a square shape, there are 4 triangles that make up the ceiling. Multiply this by 4, giving you:

18 × 4 = 72.

Add the two areas from the walls and the ceiling:

144 + 72 = 216 ft²

Answer:

Ok, so i got 216

Step-by-step explanation:

mulityply 6✖️6✖️6=216 the rest of the numbers are tricking you hopefully this helps.

Answer:

C. zero

Step-by-step explanation:

a * (-b/b)

-b/b = -1

a* -1

If a = 0 then

0 * -1 = 0

Answer:

0

Step-by-step explanation:

pls give brainliest

Answer:

Ox+y+z=180

Step-by-step explanation:

The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

We know that a triangle has three angles.

Let x, y and z be the three angles of the given triangle.

We know that, the interior angles of a triangle sum up to 180°.

The given three angles are x, y and z.

So, x + y + z = 180°

Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.

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Answer:

1x16

Ste divided by 16 p-by-step explanation:

Answer:

(2) 21.6

Step-by-step explanation:

The segment OA is the radius of the circle

The arc of the complete circle is equivalent to its perimeter

perimeter = 2*π*radius = 2*π*10 = 62.83 cm

This arc is proportional to 360°. So, for 124°:

360°/124° = 62.83 cm/ x cm

x = 124*62.83/360

x = 21.6 cm

Answer: D

Step-by-step explanation:

Answer:

2( 6x+5+2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2*6x + 2*5 + 2*2y

2( 6x+5+2y)

Answer:

3.61 sec

Step-by-step explanation:

Set the given d= 3t + 3t ^2 equal to 50 and solve for t:

3t^2 + 3t - 50 = 0

This is a quadratic equation with coefficients 3, 3 and -50.  The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609

The roots of this quadratic are therefore:

     -(3) ± √609           -3 ± 24.68           21.68

t = --------------------  =  -------------------  =  ----------- = 3.61 sec

           2(3)                           6                     6

Answer:

44, 46, and 48

Step-by-step explanation:

add them and you should get 138.

Answer:

Step-by-step explanation:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Answer:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Step-by-step explanation:

Answer:

C. infinitely many solutions

Step-by-step explanation:

You have the following 2x2 system of equation:

[tex]-5.9x-3.7y=-2.1\ \ \ \ (1)\\\\5.9x+3.7y=2.1\ \ \ \ \ \ \ \ (2)[/tex]

You can notice that if you multiply the equation (1) by -1 you obtain the equation (2). That is, the first equation is scalar multiple of the second one. Due to this situation, the system of equation has infinite solution

C. infinitely many solutions

Answer:

B. 0.35 + 0.03x = 0.45 + 0.02x

Step-by-step explanation:

I don't really know how to explain it, but it is correct.

Answer:

B

Step-by-step explanation:

This is the answer because a function cannot have an x-value that produces more than one y-value.

The equation is in slope-intercept form (y = mx + b), where F is y and C is x.

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

Answer

x= 4.75       y=-22

Step-by-step explanation:

got it right on the unit test!!

Answer:

(0, 4)

Step-by-step explanation:

Just set x = 0 and find y = f(x):

f(0) = [-(0)^2]÷1 +4  =  0÷1 + 4 = 4

The y-intercept is (0, 4)

Answer:

A+B=B+A

B+0=B

E-C=E+(-C)

Step-by-step explanation:

Answer:

A) A+B = B+A

C) B+0= B

D) E-C= E+(-C)

Step-by-step explanation: