To determine the value of X in the given equation substitute the value of y into the equation and solve for x.
1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x -10 = 30
1/5x - 10 + 10 = 30 + 10
1/5x = 40
1 = 5x • 40
1 = 200x
X = 1/200.
Domain: {-3}
Range: {8, 7, 6, 5}
This is not a function.
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.
Answer:
The total number of cookies they baked altogether is 216 cookies
Step-by-step explanation:
Here, we want to know the number of cookies that they baked together
From the question, we are told that Clementine baked 72 cookies while Jake baked twice as much
what this mean is that the number of cookies baked by Jake will be (2 * 72) = 144 cookies
Thus, the total number of cookies baked by the two of them will be;
72 + 144 = 216 cookies
So, he had 2 thirds then removed 2 sixths. You have to subtract the fractions.
2 sixths is equal to 1 third.
2 thirds-1 third= 1 third.
Grant has 1/3 of a cup of ice cream left in his bowl.
I hope this helped!
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