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Dmitry_Shevchenko [17]
4 years ago
13

Struggling, can anyone help me out on these three functions? It would be much appreciated. Thanks so much!! :)

Mathematics
1 answer:
Maurinko [17]4 years ago
8 0

Answer:

1. a) Not function

b) Domain is all real numbers greater than or equal 2 (x ≥ 2)

c) The range all real numbers ( -∞ < y < ∞)

2. a) Function

b) The domain is all real numbers (-∞ < x < ∞)

c) The range is all real number greater than or equal -4 (y ≥ -4)

3. a) Not function

b) domain is {-3 , -2 , -1 , 0 , 1 , 3}

c) The range is {-2 , -1 , 1 , 2 , 3 , 5}

Step-by-step explanation:

1. Not a function because some x has more than one corresponding y

Note: If we draw vertical line and move it left and right over the curve it will cut the cure in more than one point that means one x has more than one y

2. Function because every x has one corresponding y

3. Not function because some x have more than one corresponding y like

   (-3 , -2) (-3 , 2) and (3 , -1) (3 , 2)

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Rudik [331]

Answer:

36°

Step-by-step explanation:

Unknown Angle = 180° - 88° - 56°

Unknown Angle = 36°

5 0
3 years ago
Read 2 more answers
14 times a number decreased By eight is 22 Increase by 20 times The same number
kotegsom [21]

Answer:

14x - 8 = 22 + 20x

x = -5

Step-by-step explanation:

Let "the number" be represented by x

Take each part of the statement and translate into algebraic form

"14 times a number" 14x

"decreased By eight" -8

"is" =

"22 Increased by" 22 +

"20 times The same number" 20x

Put the equation together. Solve for x by isolating.

(

14x - 8 = 22 + 20x

14x - 8 - 20x = 22 + 20x - 20x Subtract 20x from both sides

-6x - 8 = 22

-6x - 8 + 8 = 22 + 8  Add 8 to both sides

-6x = 30

-6x ÷ -6 = 30 ÷ -6  Divide both sides by -6

x = -5

4 0
4 years ago
The third shipment weighed 10.25 times as much as the second shipment. if the third shipment weighed 15,662 pounds how much does
N76 [4]

Answer:

1528 = s

Step-by-step explanation:

15662 = 10,25s

______ _______

10,25 10,25

1528 = s

The second shipment weighs 1528pounds.

I am joyous to assist you anytime.

5 0
3 years ago
The weight of the books carried in a backpack depends on the number of books in the backpack. Susan’s books weigh from 1 pound t
vekshin1

Answer:

4 - 14 lbs

Step-by-step explanation:

Ok, so the most she can carry is 4 books. and they weigh 1 - 3.5 lbs. so you take 1 times 4. and thats well 4. then you do 3.5 times 4. thats 14 so your range would be 4 -14 lbs

4 0
3 years ago
Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. How many 1/6 foot cubic boxes can she fit int
alexandr402 [8]

Answer:  28 cube boxes.

Step-by-step explanation:

The volume of a cube can be found with this formula:

V_{(c)}=s^3

Where "s" is the lenght of any edge of the cube.

 You need to find the volume of a cube box:

V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3

To find the volume of the shipping box, first we must convert the mixed number to  an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

1\ \frac{1}{6}=\frac{(1*6)+1}{6}=\frac{7}{6}

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

V_2=(\frac{7}{6}\ ft)(\frac{1}{3}\ ft)(\frac{1}{3}\ ft)=\frac{7}{54}\ ft^3

Finally, in order to find the  number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:

\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28

5 0
3 years ago
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