Answer:
The key chain's are 0.75 each
Step-by-step explanation:
Answer:
s
sStep-by-step explanation:
<em>If the rate is a constant, the relationship is proportional.</em> (The rate is the constant of porportionality.)
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For two or more points on the function curve, divide the dependent variable value by the independent one. If you get the same result in every case, the relationship is porportional.
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<em>Note</em>
For some non-proportional relationships, it is possible to find points on the graph that will pass the above test. If you suspect the relationship is actually not one of proportionality, try more points. Check also to make sure that (0, 0) is on the curve.
Answer:
m = 3
n = 14
p = 2
Step-by-step explanation:
Given:

We need to find the values of m, n, p
Solution:
We will first solve the L.H.S
L.H.S = 
Now we will first make the denominator common by taking L.C.M

Now the denominator is common hence we will subtract the numerators.
L.H.S 
Now Comparing the the value of L.H.S with R.H.S we can say that;

m = 3
n = 14
p = 2
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n