The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
<h3>How to determine the solution?</h3>
The equation is given as:
3 − 2|0.5x + 1.5| = 2
Subtract 3 from both sides
-2|0.5x + 1.5| = -1
Divide both sides by -2
|0.5x + 1.5| = 0.5
Expand the equation
0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5
Subtract 1.5 from both sides
0.5x = -1 or 0.5x = -2
Divide both sides by 0.5
x = -2 or x = -4
Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
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Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
Well, estimate means to get like a general idea, or "in the ball park".
The factors include; the trip which is $26, and the ammount of students in the class, which is 22.
In order to estimate, you need to round.
$26 rounded becomes $30.
22 rounded becomes 20.
So now that we have the rounded numbers, we solve the problem. In order to find the total cost for all the students, we multiply the amount of students, by the ammount of money it costs per student.
The estimated version of this is: 20x30=600
This means that the estimated answer is $600 total.
Now do the same thing with the actual numbers.
22x26=572.
This means that the actual answer is $572.
The roumded total
Answer is $600.
You can say it is better use the actual numbers, and not estimate, because it is the actual answer.
I hope this helps you, im sorry for the long answer :)
