Answer:
For 
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
Which is a value of x does (f+g)(x) =0
Quadratic equation with 
So
For
Answer:
y = 2x +5
Step-by-step explanation:
1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)
2. solve --> 7-(-12) / 1-(-5) = 2
3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b
4. solve --> 7 = 2(1) + b --> b = 5
5. put the equation together --> y = 2x + 5
I won't tell you the answer but I'll tell you how to do it
first, find the area of the rectangle (lxw)
Next, find area of the triangle (BxHx.5)
Then, subtract the area of the rectangle to the area of the triangle
Complete the square: x^2 + 24x = 17
Identify the coefficient of x. It is 24. Take half of that coefficient: 24/2 = 12.
Now add the square of 12 to both sides of x^2 + 24x = 17
x^2 + 24x + 144 = 17 + 144
Write in factored form:
(x + 12)^2 = 161
Taking the square root of both sides:
x+12 = plus or minus
Answer:
The list of event (pulling a face card,F or a number card, N) that correctly makes up the sample space when a card is drawn without replacement is;
FF
FN
NF and
NN
Step-by-step explanation:
Here we have the definition of a sample space as one which has all possible outcomes
Therefore, the list of events that correctly makes up the sample space of events when you pull out two cards we have either a face card F or a number card N, and the sample space is;
FF
FN
NF and
NN
Where the likelihood of each outcome changes as the number of face cards and number card changes as each card is drawn without replacement.
