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ryzh [129]
3 years ago
7

What is the domain and range of f(x) = |x+6|?

Mathematics
1 answer:
Ronch [10]3 years ago
3 0
Here is the answer

Domain: (- infinity, infinity) 
Range:  [0, infinity) 
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5 barrels catch rainwater in the schoolyard. Four barrels are the same size, and the fifth barrel holds 10 liters of water. Comb
ch4aika [34]

Answer:

The volume each of the four barrels of the same size will be at least 47.5 liters.

Step-by-step explanation:

Let the volume of each of the four barrels is v liters.

Now, the amount of water that can be held in the fifth barrel is 10 liters. The total capacity of holding water for the 5 barrels combines is at least 200 liters.

So, from the above-given information, we can write the inequality to determine the volume of each of the four barrels will be  

10 + 4v ≥ 200

Solving this we get,

4v ≥ 190

⇒ v ≥ 47.5

Therefore, the volume each of the four barrels of the same size will be at least 47.5 liters. (Answer)

3 0
3 years ago
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution?
Vinvika [58]

Answer:

we have 8 quarts of 40% antifreeze,

according to the britain equivalent, 1 quart = 1.13L

so, we have 8 * 1.13L  = 9.04 L

out of the 9.04 L, 40% is antifreeze

amount of antifreeze = 0.4 * 9.04 = 3.616 L

moles of antifreeze present = 3.616/22.4 = 0.16 moles

moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v          

<em>(where v is the volume of final solution)</em>

molarity of initial solution = 0.16/9.04 = 0.018 M

molarity of final solution = 0.027*v/v = 0.027 M

m1*v1  = m2*v2

0.018 * 9.04 = 0.027 * v

v = 0.018 * 9.04/0.027

v = 6.026 L

amount if antifreeze in the final solution = 6.026 * 0.027 =  

0.163 Moles of antifreeze

amount in L = 0.163 * 22.4 = 3.65 L

amount in quarts  = 3.65/1.13 = 3.23 quarts

4 0
3 years ago
What is (f+g) (x) f(x) = -3x g(x)=-2x^2+x as a polynomial or rational function in simplest form?
fredd [130]

Answer:

56xy23

Step-by-step explanation:

56 x 12 bhi 56 xy23

4 0
2 years ago
This makes no sense, I don’t understand
julsineya [31]

Answer:

the range where we see the function is between x=0 and x=7

its B

A is impossible btw, no number is smaller or equal to 0 AND bigger or equal to 7

please brainliest

8 0
3 years ago
Help me please i’m failing lol
nalin [4]

16) k=176 hope you get to a point were your not failing

6 0
3 years ago
Read 2 more answers
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