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den301095 [7]
3 years ago
15

what are the domain and range of the following functions? write your answer using inequality symbols if possible

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
C. 
Domain: x>-1
Range y>-1

d.
Domain: -∞<x<∞
Range: -∞<y<∞
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Write in slope intercept form<br><br> 2y+x=1
irga5000 [103]

Answer:

y = -x/2 + 1/2 or

y = -1/2 x + 1/2

(these are equivalent)

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

So we have to get the y all by itself on the left.

2y + x = 1

Subtract x from both sides.

2y = 1 - x

Divide both sides by 2. Divide all the terms by 2.

2y/2 = 1/2 - x/2

Simplify.

y = 1/2 - x/2

Rearrange the terms on the right side so that the x term is first and the constant is last.

y = -x/2 + 1/2

I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:

y = -1/2 x + 1/2

5 0
2 years ago
Read 2 more answers
11 = 3z + 5<br> What is this answer?
likoan [24]

Answer:

subtract 5 from each side z=2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1 over the square root of 8 = 4^(m − 2)?
andrew11 [14]

Answer:

5.5

Step-by-step explanation:

\frac{1}{ \sqrt{8} }  =  {4}^{(m - 2)}  \\

Squaring both sides

\frac{1}{8}  =  {4}^{2(m - 2)} \\   \frac{1}{8} =   {4}^{2}   \times  {4}^{(m - 2)}  \\  \frac{1}{8 \times  {4}^{2} }  =  {4}^{(m - 2)}  \\   \frac{1}{8 \times 16}  =  {4}^{(m - 2)}  \\  \frac{1}{128}  =  {4}^{(m - 2)}  \\  log_{4}(128)  = (m - 2) \\  \frac{7}{2}  = m - 2 \\ m =  \frac{11}{2}  = 5.5

7 0
4 years ago
Jenn went shopping and spent $112. She bought a book for $24 and CD's that cost $8 each. What equation would you use to find out
slavikrds [6]
I would use the equation
24 + 8x = 112

let x = the amount of CDs she bought.

Hope this helps!!
3 0
3 years ago
A is 2 feet tall and grows at a rate of 25 inches per year B is 10 feet y'all and grows at a rate of 9 inches per year How many
Komok [63]

Answer:

The number of years it will take for them to be the same height is 6 years

Step-by-step explanation:

Here we have a question relating to optimization

Let the number of years at which they will be the same height be M

we then have

2 ft + (25/12 × M) ft= 10 ft + (9/12 × M) ft which gives

→ (25/12 × M) ft -   (9/12 × M) ft  = 10 ft - 2 ft

→  (25/12 × M) ft -   (9/12 × M) ft  = 8 ft

→4/3 M ft = 8 ft

Therefore, M = (8 ft)÷(4/3 ft) = 6

Therefore, it will take 6 years for them to be the same height.

3 0
3 years ago
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