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frozen [14]
3 years ago
11

PLEASE QUICK!!!

Mathematics
2 answers:
MrRa [10]3 years ago
8 0

Answer:

<h2>C) A bath tube has 360 liters of water remaining, and 72 liters of water is drained for each additional minute.</h2>

Step-by-step explanation:

First, we could find the slope of the linear relationship shown in the graph.

Using the points (5,0) and (0,360), the slope would be:

m=\frac{0-360}{5-0}=\frac{-360}{5}=-72

<em>This means the water in the bathtub decreases 72 liters per hour. Starting with 360 liters, to 0 liters after 5 hours.</em>

<em></em>

Therefore, the options that match with these results is C.

Ne4ueva [31]3 years ago
7 0

Answer:

c

Step-by-step explanation:

since the line is going downward, it automatically means negative

and the first to answers mention adding which is positive, so A and B should be eliminated

since the slope is 72 (i dont feel like explaining why it is but trust me it is) that means the answer is c

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Ede4ka [16]

Step-by-step explanation:

(a)

Using the definition given from the problem

f(A) = \{x^2  \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2  \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4]  = f(A \cap B)\\

Therefore it is true for intersection. Now for union, we have that

A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]

Therefore, for this case, it would be true that f(A\cup B) = f(A)\cup f(B).

(b)

1 is not a set.

(c)

To begin with  

A\cap B \subset A,B

Therefore

g(A\cap B) \subset g(A) \cap g(B)

Now, given an element of g(A) \cap g(B) it will belong to both sets, therefore it also belongs to g(A\cap B), and you would have that

g(A)\cap g(B) \subset  g(A \cap B), therefore  g(A)\cap g(B)  =  g(A \cap B).

(d)

To begin with A,B  \subset A \cup B, therefore

g(A) \cup g(b) \subset g(A\cup B)

7 0
3 years ago
Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent. How many text messag
professor190 [17]

Given that Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent.

Kimora's cell phone bill for one month is $52.

We need to determine the number of text messages Kimora sent for one month.

Also, we need to write and equation and solve it.

<u>The equation:</u>

Let x denote the number of text messages Kimora sent for one month.

Thus, the equation is given by

35+0.05x=52

Therefore, the equation for the number of text messages Kimora sent for one month is 35+0.05x=52

<u>Solving the equation:</u>

We need to solve the equation 35+0.05x=52

Subtracting both sides of the equation by 35, we get;

0.05x=17

Dividing both sides of the equation by 0.05, we get;

x=340

Therefore, the number of messages sent is 340.

3 0
3 years ago
10. Solve the inequalities and compare.<br> a. Solve 2x+6 &lt; 10.
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Answer:

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kenny6666 [7]

Answer:

x = 12

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Step-by-step explanation:

By the Alternate Interior Angles Converse, if (14x - 23) = (9x + 37), then l || m.

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\frac{5x}{5} = \frac{60}{5}

x = 12

4 0
3 years ago
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