Hello there!
You're answer is -8.
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B. X^2-6x. =14
Half of -6 is -3 and -3^2=9 so add 9 to both sides
X^2-6x+9 = 14+9
(X-3)^2= 23
Answer:
18 and 27
Step-by-step explanation:
Let x = first (smaller) number
Let y = second (larger) number
Sum of two numbers is 45:
⇒ x + y = 45
The greater number is 9 more than the other number:
⇒ y = x + 9
Substitute y = x + 9 into x + y = 45 and solve for x:
⇒ x + (x + 9) = 45
⇒ 2x + 9 = 45
⇒ 2x = 36
⇒ x = 18
Substitute found value for x into y = x + 9 and solve for y:
⇒ y = 18 + 9
⇒ y = 27
Therefore, the two numbers are 18 and 27
Answer: 1 hour 15 minutes
Step-by-step explanation:
From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:
= 5 × 30 minutes
= 150 minutes
= 2 hours 30 minutes
Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:
= 5 × 45 minutes
= 225 minutes
= 3 hours 45 minutes
We then calculate the difference in their exercise per week which will be:
= 3 hours 45 minutes - 2 hours 30 minutes
= 1 hour 15 minutes
