victoria decorates 36 cookies eqch day. Thispast week,she decorated cookies for 5 days What is the best estimate for the total n

What is the domain and range?

lesya [120]

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

4 0

3 years ago

In the right triangle shown, \angle B = 60^\circ∠B=60

Liono4ka [1.6K]

Answer:

Part 1) $AC=6\sqrt{3}\ units$

Part 2) $AC=12\sqrt{3}\ units$

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB and the right angle is C

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(60^o)=\frac{AC}{12}$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{AC}{12}$

$AC=6\sqrt{3}\ units$

Problem 2

The hypotenuse is the segment BC and the right angle is A

we know that

In the right triangle ABC

$tan(B)=\frac{AC}{AB}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(60^o)=\frac{AC}{12}$

Remember that

$tan(60^o)=\sqrt{3}$

substitute

$\sqrt{3}=\frac{AC}{12}$

$AC=12\sqrt{3}\ units$

5 0

3 years ago

5x-4y=19 x+2y=8 solve the simaltaneous equation

STatiana [176]

Answer:

( 5, 3/2 )

x = 5

y = 3/2

Step-by-step explanation:

5x - 4y = 19

x + 2y = 8

-------------------

2(x + 2y = 8) = 2x + 4y = 16

----------------------

5x - 4y = 19

2x + 4y = 16

7x = 35

÷7 ÷7

x = 5

-----------------------

x + 2y = 8

5 + 2y = 8

-5 -5

2y = 3

÷2 ÷2

y = ( 3/2 )

I hope this helps!

8 0

3 years ago

Find the measurement of sides

mestny [16]

Answer:

(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°

Step-by-step explanation:

assuming side a/c is side BC/AB since it's opposite of angle A/C

(a) SOH CAH(cos = adjacent side/hypotenuse) TOA

=> cos (25°) = BC/AC or a/b

=> cos (25°) = a/25

=> a = cos (25°) × 25

=> a ≈ 22.7

(b) SOH(sin = opposite side/hypotenuse) CAH TOA

=> sin (25°) = AB/AC or c/b

=> sin (25°) = c/25

=> c = sin (25°) × 25

=> c ≈ 10.6

(c) 180° - 25° - 90°(the right angle) = 65°

7 0

3 years ago

What is the factored form of 4x2-4x?

FromTheMoon [43]

Answer:

2

Step-by-step explanation:

4x minus 4x then it leaves you with just 2 because the 4s cancel out

3 0

3 years ago