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Tasya [4]
3 years ago
10

What property is shown 4/5 + (-4/5) =0

Mathematics
1 answer:
mina [271]3 years ago
3 0

Answer:

Inverse property of addition

Step-by-step explanation:

When you add two opposite numbers (4/5 is the opposite of [-4/5]) the answer is always zero.

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Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor
Ilya [14]

Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

M=0.4x

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

M=0.5x

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0
3 years ago
Determine the standard form of the equation of the line that passes through ( -5,0 ) ( 0 ,-9)
insens350 [35]

The general form for a line through two points (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

This is better than the slope forms because it works in the no slope case, as does the standard form.

If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.

Here we have

(0 - -5)(y - 0) = (-9 - 0)(x - - 5)

5y = -9(x+5)

5y = -9x - 45

9x + 5y = -45

Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero.  I like the constant alone.

Answer: 9x + 5y = -45

Check:

We check each point is on the line

(-5,0)

9(-5) + 5(0) = -45, good

(0, -9)

9(0) + 5(-9) = -45, good again


5 0
3 years ago
Read 2 more answers
P(n)=485n-14065 find slope
11111nata11111 [884]

Answer:

the slope is 485

Step-by-step explanation:

The slope form of a line is y=mx+b, or in this case, p(n)=mn+b. The coefficient of n is 485, giving you the slope.

5 0
3 years ago
Isaac walks 6/10 of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaac’s walking rate in miles pe
navik [9.2K]

Answer:

12

Step-by-step explanation:

u have to mutypl and div it up sum and k/=+56+8=90/h=+5689-097/p=11+y=1+11=12

4 0
3 years ago
Write and real-world problem that could be represented by the inequality below:
natima [27]

Answer:

Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.

I hope this helped! :) If it was correct for your question please give me brainliest!

7 0
3 years ago
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