The quadratic equation
can be written in the form:
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
Answer:
Number of hours= 13.61 hours
Step-by-step explanation:
Giving the following information:
Mr. Halloway knows that it is about 885 miles to their destination.
Average speed= 65 miles per hour
<u>To calculate the number of hours to be drive, we need to use the following formula:</u>
Number of hours= total miles / miles per hour
Number of hours= 885/65
Number of hours= 13.61 hours
<span>y = (1/2)x + 6. hope it helps
</span>
Answer:
The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is (-∞,2] ∪ [8,∞)
Step-by-step explanation:
When solving absolute value inequalities, there are two cases to consider.
Case 1: The expression within the absolute value symbols is positive.
Case 2: The expression within the absolute value symbols is negative.
The solution is the intersection of the solutions of these two cases.
In other words, for any real numbers a and b,
- if |a|> b then a>b or a<-b
- if |a|< b then a<b or a>-b
So, being |3x-9|≤15
Solving: 3x-9 ≤ 15
3x ≤15 + 9
3x ≤24
x ≤24÷3
x≤8
or 3x-9 ≥ -15
3x ≥-15 +9
3x ≥-6
x ≥ (-6)÷3
x ≥ -2
The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]
So, being |2x-3|≥5
Solving: 2x-3 ≥ 5
2x ≥ 5 + 3
2x ≥8
x ≥8÷2
x≥8
or 2x-3 ≤ -5
2x ≤-5 +3
2x ≤-2
x ≤ (-2)÷2
x ≤ -2
Expressing the solution as an interval: (-∞,2] ∪ [8,∞)
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