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yulyashka [42]
3 years ago
9

Solve the absolute value equation,if possible. If there is no solution, explain. I 5x + 10 I = -7

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

No solution.

Step-by-step explanation:

The range of the abs. val. function is [0, infinity).  In other words, the output of this function is never negative.  Thus, the equation you have posted has no solution.

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Asap, need help. Thanks if your going to help me! Please explain the steps!​
Rasek [7]

Answers:

  • Person A receives at least 800 dollars, but no more than 1600 dollars
  • Person B receives at least 1000 dollars, but no more than 2000 dollars

=============================================================

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

-------------------------

To summarize:

  • Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).
  • Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

-------------------------

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

8 0
2 years ago
Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1
N76 [4]

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2  then |-2|=2>1  satisfying the equation

so we have

x-7>1\\\\x-7+7>1+7\\\\x>8

and we have

x-7

to graph it it goes from (-∞,6)∪(8,∞)

8 0
3 years ago
True expression -50x+ 100 represents the balance, in dollars, of a bank account after x months. What is the range of change, in
JulijaS [17]

Let

x--------> the number of months

y-------> represents the balance, in dollars, of a bank account

we know that

y=-50x+100

the rate of change is equal to the slope of the line

so

m=-50\frac{\$}{month}

therefore

<u>the answer is</u>

the rate of change is -50\frac{\$}{month}

5 0
3 years ago
Using the table, what is the relative frequency of the blue beads?
Pepsi [2]
20% is ur answer to the question
7 0
3 years ago
What is the solution to the compound inequality in interval notation?
ohaa [14]

The given compound inequality is

2(x+3)>6 \ or \ 2x+3\leq  -7

First we solve the first inequality,

2(x+3)>6&#10;\\&#10;x+3 >3&#10;\\&#10;x>0

Now we solve the second inequality

2x+3\leq -7&#10;\\&#10;2x \leq  -7-3&#10;\\&#10;2x\leq  -10&#10;\\&#10;x\leq  -5

So we have

x > 0 \ or  \ x\leq  -5

So the required solution is

( - \infty,-5] \ or \ (0, \infty)

Correct option is A .

4 0
3 years ago
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