Answer:
B: 3
Step-by-step explanation:
The expression would be 14m + 23 = 65.
14m + 23 - 23 = 65 - 23 =
14m = 42
14m ÷ 14 = 42 ÷ 14 =
m = 3
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
the possible line of best fit equation is;
y = 10x + 24
Step-by-step explanation:
Here, we want to get the approximate line of best fit
Mathematically, we have the general line of best fit as
y = mx + b
where m is the slope and b is the y-intercept
By joining the given lines, we can see that the y-intercept values fall a little below 30
This means that the possible y-intercept value is 24
Now, to get the slope value, we select any two points and use the slope equation
We can have (3,50) and (6,80)
Using the slope equation;
m = (y2-y1)/(x2-x1) = (80-50)/(6-3) = 30/3 = 10
The equation is thus;
y = 10x + 24
Answer:
Step-by-step explanation:
we know that
The <u><em>conjugate root theorem</em></u> states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial
In this problem we have that
The polynomial has roots 1 and (1+i)
so
by the conjugate root theorem
(1-i) is also a root of the polynomial
therefore
The lowest degree of the polynomial is 3
so
Remember that
The leading coefficient is 1
so
a=1
![f(x)=(x-1)(x-(1+i))(x-(1-i))\\\\f(x)=(x-1)[x^{2} -(1-i)x-(1+i)x+(1-i^2)]\\\\f(x)=(x-1)[x^{2} -x+xi-x-xi+2]\\\\f(x)=(x-1)[x^{2} -2x+2]\\\\f(x)=x^{3}-2x^{2} +2x-x^{2} +2x-2\\\\f(x)=x^{3}-3x^{2} +4x-2](https://tex.z-dn.net/?f=f%28x%29%3D%28x-1%29%28x-%281%2Bi%29%29%28x-%281-i%29%29%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-%281-i%29x-%281%2Bi%29x%2B%281-i%5E2%29%5D%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-x%2Bxi-x-xi%2B2%5D%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-2x%2B2%5D%5C%5C%5C%5Cf%28x%29%3Dx%5E%7B3%7D-2x%5E%7B2%7D%20%2B2x-x%5E%7B2%7D%20%2B2x-2%5C%5C%5C%5Cf%28x%29%3Dx%5E%7B3%7D-3x%5E%7B2%7D%20%2B4x-2)
Answer:
16.3
Step-by-step explanation:
You can use pynthagoras theorem.
And round it to nearest tenth...
hope i helped
Answer:
A. Yes, because each of the two outcomes are equally likely.
Step-by-step explanation:
A sales representative for a baby food company wants to survey 300 random couples who are new parents to find out if their newborn child is a boy or a girl.
The representative uses a 1 for a girl and a 2 for a boy when running a simulation.
Yes, the simulation will be a fair representation of possible survey results.
A. Yes, because each of the two outcomes are equally likely.
