Answer:
3+x≥-16
Step-by-step explanation:
Answer:
m² + 8m + 7 = (m + 1) (m + 7)
m² – 6m + 8 = (m – 2) (m – 4)
Step-by-step explanation:
If a trinomial ax² + bx + c is "factorable", you can use the AC method.
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide the factors by a and reduce.
4. The numerators are the constants, the denominators are the coefficients.
For example:
m² + 8m + 7
a = 1, b = 8, c = 7
1. ac = 1×7 = 7
2. Factors of 7 that add up to 8 are 1 and 7.
3. Divide by 1: 1/1 and 7/1
4. The factors are (m + 1) and (m + 7).
Therefore, m² + 8m + 7 = (m + 1) (m + 7).
Let's try one with a negative coefficient:
m² – 6m + 8
a = 1, b = -6, c = 8
1. ac = 1×8 = 8
2. Factors of 8 that add up to -6 are -2 and -4.
3. Divide by 1: -2/1 and -4/1
4. The factors are (m – 2) and (m – 4)
Therefore, m² – 6m + 8 = (m – 2) (m – 4).
You can check your answers by distributing.
You would subtract the 1 first and leave the number with the X alone. Then after you have subtracted the 1 you would want to divide the 2x by 2 and also divide the 8 by 2
Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week
Solution:
Given that,
Kay spends 250 min/wk exercising
Therefore,
Exercising = 250 minutes per week
Ratio of time spent on aerobics to time spent on weight training is 3 to 2
Aerobics : weight training = 3 : 2
Let the time spent on aerobics be 3x
Let the time spent on weight training be 2x
Thus,
3x + 2x = 250
5x = 250
x = 50
Thus,
Time spent on aerobics = 3x = 3(50) = 150
Time spent on weight training = 2x = 2(50) = 100
Thus, Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week