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Elanso [62]
3 years ago
6

State the domain of the function y=3/x

Mathematics
1 answer:
mixer [17]3 years ago
8 0
Notice \ the \ equation \ contains \ x \ in \  the \ denominator. 

Since \ any \ denominator \ must \ not \ equal \ zero, 

our \ domain \ is \ restricted \ to \ x<span>≠0</span>
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I NEED HELP!!!
oksano4ka [1.4K]

Answer:

x= -2, y = -3

Step-by-step explanation:

1. substitute x = 4+2y in the first equation: \begin{bmatrix}2\left(4+2y\right)+y=-7\end{bmatrix}

simplify it : \begin{bmatrix}8+5y=-7\end{bmatrix}

2. isolate y in 8 + 5y = -7 --> 5y = -7 - 8 -->

3. solve for y:  5y = -15 --> y = -15/5 --> y= -3

4. solve for x: x = 4 + 2y

x = 4 + 2(-3)

x = 4 + (-6)

x = -2

6 0
3 years ago
Marti is filling a 10– inch diameter ball with sand to make a medicine ball that can be used for exercising. To determine if the
Mice21 [21]

Answer:

Option A. 30\ pounds

Step-by-step explanation:

step 1

Find the volume of the sphere ( medicine ball)

The volume is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=10/2=5\ in ----> the radius is half the diameter

Convert inches to feet

Remember that

1 ft=12 in

r=5\ in=5/12\ ft

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(5/12)^{3}

V=0.3029\ ft^{3}

step 2

Find the weight of the ball

Multiply the volume in cubic foot by 100

0.3029*100=30.29\ pounds

Round to the nearest pound

30.29=30\ pounds

6 0
3 years ago
What is the solution to the trigonometric inequality sin(x) &gt; cos(x) over the interval 0 ≤ x ≤ 2pi radians?
suter [353]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
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A bag contains 10 red marbles, 15 yellow marbles and 5 green marbles. What is the probability of drawing a red or green marble f
Volgvan
Probability = 

             (number of ways it can come out the way you want)
divided by
             (total number of ways it can come out).

Total number of ways to draw a marble = 30 (marbles in the bag).

Number of ways it can succeed = 15 (number of red or green ones)

Probability = 15/30 = 1/2 = 50% .
8 0
3 years ago
Read 2 more answers
The librarian needs to return 24 books to the shelf. In one hour she finished 3/4 of the job. How many books has she
Rudiy27

Answer:

18 books done and 6 books left

Step-by-step explanation:

24 *3/4 = 18

3 0
3 years ago
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