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Answer:
m < 49/12
Step-by-step explanation:
The portion of the quadratic formula under the square root sign is the discriminant.
If the discriminant is > 0 then there are two real roots.
b² -4ac > 0
-----------------------------
7² - 4(3)m > 0
49 - 12m > 0
Subtract 49 from both sides
-12m > -49
Divide both sides by -12
(when multiplying or dividing by a negative the inequality must be reversed)
m < 49/12
X represent the number of laps Marcy swam, 114x represent the number of times Toni swam.
20 + 0.80(114x) + 15 + 0.85x = 257
20 + 91.2x + 15 + 0.85x = 257
92.05x + 35 = 257
Required equation is 92.05x + 35 = 257
Answer:
45 old houses
Step-by-step explanation:
new houses : old houses
3 : 9
15 : ?
(3 = 1st ratio and 9 = 2nd ratio)
To find the missing ratio, divide the first ratio from the new ratio:
15 / 3 = 5
Take the product and multiply that by the second ratio to find the missing ratio:
9 x 5 = 45