Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
Find the slope using rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(2 - 0) / (1 + 2)
2 / 3
= 2/3
Then, plug in the slope and a point into y = mx + b to solve for b:
y = mx + b
2 = 2/3(1) + b
2 = 2/3 + b
1 1/3 = b
Plug in the slope and y intercept into y = mx + b
y = 2/3x + 1 1/3 is the equation of the line
that would be the letter d :)
each value of x has a unique value of y
No. A function maps one input to exactly one output. The given relation maps 1 to both 1 and -1, as indicated by the pairs (1, 1) and (1, -1).
1. A quadratic equation has the following form: ax²+bx+c.
2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.
3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:
(x-5)(x+3)=0
4. When you apply the distributive property, you obtain:
x²+3x-5x-15=0
x²-2x-15=0
5. Therefore, the answer is:
x²-2x-15=0
Answer:
The answer to your question is p = -2 q = -6 remainder = -10
Step-by-step explanation:
Data
Dividend = 8x⁴ - 2x² + 6x - 7
Divisor = 2x + 1
Quotient = 4x³ + px² - qx + 3
Process
1.- Divide using long division
4x³ - 2x² + 3
2x + 1 8x⁴ + 0x³ - 2x² + 6x - 7
- 8x⁴ - 4x³
0 - 4x³ - 2x²
+ 4x³ +2x²
0 0 + 6x - 7
-6x - 3
0 - 10 Remainder
px² = -2x² then p = -2
-qx = 6x then q = -6
