Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Answer:
the value of 
such that there is no solution to the equation is 
.
Step-by-step explanation:
Let first simplify the expression presented on statement. The equation has no solution if and only if is eliminated in the process and an absurd is the result (i.e. 
).
To obtain an absurd, we need that 
. Hence, the value of such that there is no solution to the equation is:
Let prove the certainty of the result. We find that an absurd exist: ()
Answer: The value of cross price elasticity is 1.6.
Step-by-step explanation:
Since we have given that
Percent change in price = 10%
Percent change in quantity = 16%
So, we need to find the cross price elasticity between the two movie club memberships.
As we know the formula for cross price elasticity :
Hence, the value of cross price elasticity is 1.6.
Answer
18(2)+12(2)-4(5)
36+24-20
60-20
40
Step-by-step explanation:
since they had two-18 yard passes and two 12 yard runs, that's the first part of the expression, and then they had four penalties that cost them 5 yards, and that was the last term. When you simplify, you end up with 40 yards gained.
In math
Passes: 18(2)
Runs: 12(2)
Penalties:4(5)
equation
18(2)*12(2)-4(5)
Hope it helped
The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:
1 8/10 --> 18/10
2 2/5 --> 12/5
Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:
12/5 * 2/2 = 24/10
Now we can set up the equation as:
18/10 - 24/10 = -6/10 --> -3/5
The answer is negative 3/5.
I hope this helps.
