Answer:
(f + g)(x) = 3x² + 7x - 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + 2x
g(x) = 5x - 1
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute in functions: (f + g)(x) = 3x² + 2x + 5x - 1
- Combine like terms: (f + g)(x) = 3x² + 7x - 1
Answer:
First, we know that:
cot(x) = cos(x)/sin(x)
csc(x) = 1/sin(x)
I can't know for sure what is the exact equation, so I will assume two cases.
The first case is if the equation is:
if we replace cot(x) and csc(x) we get:
Now let's we can rewrite this as:
We can't simplify it more.
Second case:
If the initial equation was
Then if we replace cot(x) and csc(x)
This is equal to:
And we know that:
sin^2(x) + cos^2(x) = 1
Then:
sin^2(x) - 1 = -cos^2(x)
So we can replace that in our equation:
Find parallelogram ABCD attached
Answer:
x = 3
Step-by-step explanation:
In parallelograms, the diagonals typically divide each other into 2 equal parts.
This means that from the attached parallelogram, we can say that;
4x - 6 = 2x or 6x - 15 = x
Thus;
4x - 2x = 6
2x = 6
x = 6/2
x = 3
Let's confirm with the second equation;
6x - x = 15
5x = 15
x = 15/5
x = 3
Answer:
A
Step-by-step explanation:
Argument
C and D are wrong right off the top. When you have x + 2 in synthetic division the divisor (2) must change signs.
B is incorrect because you don't change the signs of the polynomial that is being divided into. So that only leaves A and it is correct.
Summary
- Change the sign of the binomial doing the dividing (2 goes to - 2)
- Leave the polynomial's coefficients alone.
Given:
The equation is
To find:
The solution of the given equation.
Solution:
We have,
Subtracting both sides by 20, we get
Multiply both sides by 3.
Therefore, the solution of the given equation is .