Answer:
it's c , x= 1.5 or -4
2x^2 + 5x - 12 = 0
First factor the left side of the equation
(2x-3)(x+4)=0
Second, set the factors equal to 0
2x-3=0 or x+4=0
+3 +3 -4 -4
2x=3 -4
divide both side by 2 and you get 3/2 which equals 1.5
x=1.5 or x= -4
Answer:
1700
Step-by-step explanation:
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
Answer:
4
Step-by-step explanation:
she can use all 63 beads because 67 divided by 9 is 7 remainder 4
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