Plugging into the Given Formula the value of y:
Multiply the left side:
Add 14 to both sides to get:
Divide both sides by 8 and we get:
Therefore, x=7 and the proof is complete
It takes some trial and error
To find the factored form, you know that the format will look like
(x^n +/- a) (x^n +/- b)
Since the expanded form has x^4, the first part of each expression in parentheses will be x^2 because x^2 * x^2 will give you x^4
Then you have to figure out, how will you get -9 in the expanded form? The "a" and "b" parts of each expression will have to multiply to equal -9.
Factors of -9 will be -3*3 or -1*9 or -9*1
Also, consider the 8x^2 part - as it relates to finding the factors of 9. The parts of the expression that result in 8x^2 in the expanded form ...
a*x^2 + b*x^2 = 8x^2
If you think about this, you know the a and b will = -1 and 9 because you also have to add the expressions with x^2 to get 8x^2, and 3 and 3 would not give you the 8x^2 and neither would nor would -9 and 1.
Final factored form is
(x^2 - 1) (x^2 + 9)
Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1
Answer:
a = 12
Step-by-step explanation:
a² + 9² = 15²
a² = 15² - 9²
a² = 225 - 81
a² = 144
take the square root of both sides
a = 12
Answer:
there will be 2.38 ounces in one bag of the trail mix
