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:
A. 22 feet
Step-by-step explanation:
22 + 22 + 22 + 22 = 88 the formula is
Length x Width X length X Width but since it is a square just divide
Hope this helps
Answer:
the machine is mixing the nuts are not in the ratio 5:2:2:1.
Step-by-step explanation:
Given that a machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1.
A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans.
Create hypotheses as
H0: Mixture is as per the ratio 5:2:2:1
Ha: Mixture is not as per the ratio
(Two tailed chi square test)
Expected values as per ratio are calculated as 5/10 of 500 and so on
Exp 250 100 100 50 500
Obs 269 112 74 45 500
O-E 19 -12 -26 -5 0
Chi 1.343 1.286 9.135 0.556 12.318
square
df = 3
p value = 0.00637
Since p value < alpha, we reject H0
i.e. ratio is not as per the given
Ok so convert it to an improper fraction. 10 x 2 + 1 = 21. So it is 21/2 the reciprocal flips it over so it is 21/2
F(x)=-4x-1 if you sub 3 into it you get 3(-4)-1 which is -13 and 2x+4=10