Hello!
You have to find what a and b are
3a + 4a = 14
b + 6b = 21
Lets do a first
3a + 4a = 14
Combine like terms
7a = 14
Divide both sides by 7
a = 2
Now lets do b
b + 6b = 21
Combine like terms
7b = 21
Divide both sides by 7
b = 3
Put a and b into the third equation
7( 2 + 3) =
Do what is in parenthesis first
7(5) =
Multiply
35
The answer is 35
Hope this helps!
Math to me is very complicated. I know that I need it in life, but when have you ever needed to find the square root of the distance from the sun to mars on a normal day-to-day basis? But jokes aside, I know that I do math without thinking about it. It is important, even for the jobs that you would think that you would NEVER need it (even English teachers do it, haha.) Overall, math is kinda iffy. In my opinion, you can't live with it, but you <u>really</u> can't live without it.
Solving for the polynomial function of least degree with
integral coefficients whose zeros are -5, 3i
We have:
x = -5
Then x + 5 = 0
Therefore one of the factors of the polynomial function is
(x + 5)
Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
x^2 + 9 = 0
Therefore one of the factors of the polynomial function is (x^2
+ 9)
The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)
= x^3 + 9x + 5x^2 = 45
Therefore, x^3 + 5x^2 + 9x – 45 = 0
f(x) = x^3 + 5x^2 + 9x – 45
The polynomial function of least degree with integral coefficients
that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45
0.3
according to the graph the intercept is on point line of 0.003 so we take that run it through some multiples we get 0.3
