Answer:
(3/2x)+14
Step-by-step explanation:
The answer is maybe C lol
Answer:
3x = 50 - 10y
Step-by-step explanation:
Here, x represents the number of 3 lb weights and y represents the number of 10 lb weights,
So, total weight of 3 lb weights = 3x
And, the weight of 10 lb weights = 10y
Total weight of all his weights = 3x + 10y
According to the question,
Total weight = 50 lb,
⇒ 3x + 10y = 50
Or 3x = 50 - 10y
Which is the required equation.
Second option is correct.
<span>5a + 2 = 6 - 7a
5a + 7a = 6 - 2
12a = 4
a = 4/12 = 1/3
</span>
Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
