Answer:
The pairs of integer having two real solution for
are
Step-by-step explanation:
Given
Now we will solve the equation by putting all the 6 pairs so we get the following
for 
for 
for 
for 
for 
for 
The above all are Quadratic equations inn general form 
where we have a,b and c constant values
So for a real Solution we must have
for we have
which is less than 0 ∴ not a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is equal to 0 ∴ a real solution.
for we have
which is less than 0 ∴ not a real solution.
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
Answer:
Step-by-step explanation:
From the given table,
To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,
Since, 2 cups of blue paint are mixed with 10 cups of yellow paint
Therefore, ratio in which these shades have been added = 
= 
= 
= 5 : 1
For 1 cup of blue paint number of cups of yellow paint required,
x = 5 cups
For 3 cup of blue paint number of cups of yellow paint required,
x = 15 cups
Cups of blue paint Cups of yellow paint
2 10
1 5
3 15
Answer:
556
Step-by-step explanation:
Because thats the answer
Answer:
72 lb bags
Step-by-step explanation:
18 / 0.25 = 72 bags :D
