Answer:
m < 36
yes, Jamie is correct.
Step-by-step explanation:
I've bolded the statements that you can put down to show your work
the maximum that Jamie is willing to practice for the week is 300 minutes, so you can start by creating an inequality for that.
total minutes throughout the week < 300
next, you know that a week is monday through friday + the weekend, and the amount of minutes Jamie will practice for the weekend is already given.
so, you can rewrite the earlier inequality like so
Monday through Friday practice + 120 < 300
since Jamie plans to practice the same amount of time (m) for each day, and there are 5 days between monday and friday, you can substitute values in the equation
5m + 120 < 300
simplify
5m < 300 - 120
5m < 180
m < 36
since half an hour is 30 minutes, the answer is yes, Jamie's claim is correct.
Answer: If you multiply or divide both sides of an inequality by the same negative number, you must swap the inequality symbol for the statement to still be correct.
Additionally: The absolute value of -200 is 200.
Answer:
Only equation 1 and 2 are equal.
Step-by-step explanation:
2 (x + 4)2 = 2
2( x² + 8x+ 16) = 2 Applying the square formula
2x² + 16x+ 32 = 2
2x² + 16x+ 32 -2= 0
2x² + 16x+ 30 = 0
2( x² + 8x+ 15)= 0 Taking 2 as common
x2 + 8x + 15 = 0------------eq 1
x2 + 8x + 15 = 0-------------eq 2
(x − 5)2 = 1
x²-10x+25= 1 Applying the square formula
x²-10x+25- 1= 0
x²-10x+24= 0-------------eq 3
x2 − 10x + 26 = 0 -------------eq 4
3(x − 1)2 + 5 = 0
3( x²-2x+1)+5= 0 Applying the square formula
3x²-6x+3+5= 0
3x²-6x+ 8= 0-------------eq 5
3x2 − 6x + 8 =1
3x2 − 6x + 8 -1=0
3x2 − 6x + 7 =0-------------eq 6
