To solve this, you know that both values listed (4x - 3 and -3x + 4) are equal to y, so you know that they also must be equal to each other! Therefore you can form the following equation:
4x - 3 = -3x + 4
Now you can add -3x to both sides to combine like terms:
7x - 3 = 4
Now add 3 to both sides:
7x = 7
Now if you divide everything by seven, you see that x = 1. Now that we have out x value, we can go ahead and plug it into one of the equations. This gives us:
y = 4(1) - 3
If we multiply out, we get:
y = 4 - 3
y = 1
So y also equals 1! Now that we have our answers, we can simply put them into an ordered pair which should be in the form of (x value, y value.)
Our final answer will be (1, 1).
Hope this helps!
1 + 1.5x - 3 is one possibility. That's what you get when you remove the brackets.
Answer:
See below
Step-by-step explanation:
<u>Given function</u>
<u>We can find its factors:</u>
- x³ + 3x² - 7x - 21 =
- x²(x + 3) - 7(x + 3) =
- (x² - 7)(x + 3)
We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)
Also one of zeros of the function is -3
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then
Using this rule, we get
Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).
