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Lunna [17]
3 years ago
10

Please help me with this!!!

Mathematics
1 answer:
Yuri [45]3 years ago
5 0
The easiest way to attempt such questions is to throw in some numbers and do trial and error.

The question is asking about the change in values p depending on the change in w. So, let's play around with w.

Take w=1, then p=-0.25\times 1+15=14.75
Take w=2, then p=-0.25\times2+15=-0.5+15=14.5
Take w=3, then p=-0.25\times3+15=-0.75+15=14.25
.
.
.
Take w=100, then p=-0.25\times100+15=-25+15=-10

Notice how p decreases in value for every increase in w?

Therefore, as w increases, the value of p decreases (always).

Ans: B
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Step-by-step explanation:

When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.

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<em>Additional comment</em>

Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.

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Step-by-step explanation:

Step 1:

Assume a = the number of letters, b = the number of bills, c = the number of ads, and d = the number of magazines.

From the question, they got 15 pieces of mail that day so a+b+c+d=15.

They got 5 more magazines than bills so d = b + 5.

The got the same number of letters as ads so a=c.

They got 3 more bills than ads so b= c + 3.

Step 2:

As we have only one equation to solve the values, we need to make every term in terms of a single term.

We make everything in terms of c.

So a=c, b = c+3, c=c, d = b+5 = (c+3)+5=c+8.

Substituting all this in the equation, we get

a + b+c+d =(c)+(c+3)+(c)+(c+8) = 15, 4c+11=15.

4c=4, c = 1.

Step 3:

Substituting c = 1 in other terms, we get

a=c=1,

b=c+3=1+3=4,

c=1, and

d = c+8 = 1+8=9.

As a = 1, they received 1 letter that day.

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Step-by-step explanation:

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