Solve the absolute value equation, if possible. If there is no solution, explain why.

1 answer:

5 0

There is no solution. I know this because the answer to an absolute value expression cannot be a negative.

Let´s explain. The absolute value means how far the number is from 0. You can´t be -5 units away from 0, right? This is why the answer to an absolute value expression cannot be negative.

Since the whole left side of the equation is surrounded by absolute value bars, it should be equal to a positive number. But it's not. So, there is no solution.

You might be interested in

Find the area of this semi-circle with radius, r = 66cm. Give your answer rounded to 1 DP.

Darya [45]

Answer:

414.857143

Step-by-step explanation:

r=66

=2*66*22/7

=414.857143

4 0

2 years ago

Sarah went to the candy store to buy treats for her halloween party. She came out with 11 pounds of candy. She bought m&m's

Papessa [141]

Answer:

5lb of m&mns and 6lb of raisinets

Step-by-step explanation:

5lb x 2$ = $10

6lb x 1.5 = $9

8 0

3 years ago

What did the ancestral puebloans do to make the growing need for housing

koban [17]

Answer: How did the Ancestral Puebloans adapt their housing to the building materials that were available in the arid Southwest? They built some houses of stone blocks against canyon walls and built freestanding villages of stone and adobe brick.

Step-by-step explanation:

8 0

3 years ago

Calculate the next 3 terms and write the formula for the nth term for the following sequences. x, x+2, x+4,…

Vikki [24]

Answer:

Forth term = x + 6

Fifth term = x + 8

Sixth term = x + 10

Formular for nth term:

${ \tt{n _{th} = a + (n - 1)d}} \\ { \tt{{n _{th} = x + (n - 1) \times 2}}} \\ { \tt{{n _{th} =x + 2n - 2 }}}$

8 0

3 years ago

Read 2 more answers

You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere

attashe74 [19]

The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.

The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,

0.035x + 319 - 0.055x = 283

Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.

4 0

3 years ago