When solving an equation with an absolute value term, you make two separate equations ans solve for x:
Equation 1: |4x-3|-5 = 4
1st add 5 to both sides:
|4x-3| = 9
Remove the absolute value term and make two equations:
4x-3 = 9 and 4x - 3 = -9
Solving for x you get X = 3 and x = -1.5
When you replace x with those values in the original equation the statement is true so those are two solutions.
Do the same thing for equation 2:
|2x+3| +8 = 3
Subtract 8 from both sides:
|2x+3| = -5
Remove the absolute value term and make two equations:
2x +3 = -5
2x+3 = 5
Solving for x you get -1 and 4, but when you replace x in the original equation with those values, the statement is false, so there are no solutions.
The answer is:
C. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.
Answer:
Step-by-step explanation:
1) (x-3),(x-8)
2) 3x^3+3x^2=27x
3
(
x
3^3+
x
^2
−
9
x
−
9
)
3
(
x
^2
(
x
+
1
)
−
9
(
x
+
1
)
)
3
(
(
x
+
1)(
x
^2
−
9
)
)
3
(
(
x
+
1
)
(
x
^2
−
3
^2
)
)
3
(
x
+
1
)
(
x
+
3
)
(
x
−
3
)
Answer:
<h2> 7.3%</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest to get the rate of return;
Simple Interest = Principal * Rate * Time/100
Given Principal = $450,
Time (in years) = 1 year
Simple interest = $32.75
Rate (in %) =?
Substituting the given values in the given formula to get the rate;
32.75 = 450*1*R/100
450R = 3275
R = 3,275/450
R = 7.3%
The rate of return is 7.3%
Answer:
Step-by-step explanation:
960 which is the area u divide by the one foot which is 144 square units to get your answer,6.66666666667
Two tractor trailers would weigh 160,000 pounds, which is equal to 80 tons. 100-80= 20 tons that are still available.
