Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.
Step-by-step explanation:
- Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
- Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.
⇒ 3x² - 6x + 5x - 10 = 0
⇒ 3x(x - 2) + 5(x - 2) = 0
⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.
- Step 3: Find zeros by equating the factors to 0.
⇒ 3x + 5 = 0 and x - 2 = 0
⇒ x = -5/3 and 2
Area of a square
A = s^2, where s = length of side
A = (12 mm)^2
A = 144 mm^2
The area if 144 mm^2.
The relationship between the years since the tree was transplanted and its height in inches is linear and represented graphically by a line with positive slope and positive y-intercept
Step-by-step explanation:
Their is a linear relation between the years since the tree was transplanted and its height in inches because
- The tree has a constant rate of increasing of its height per year
- Assume that the initial height of the tree when it planted is b inches
- Its height increases m inches per year
- Its height (y) after x years can be expressed in the formula y = m x + b
y = m x + b is the form of the linear equation, where
- m is the slope of the graph of the equation
- b is the y-intercept (value y at x = 0)
The relationship between the years since the tree was transplanted and its height in inches is linear represented graphically by a line with positive slope and positive y-intercept
Learn more:
You can learn more about the linear functions in brainly.com/question/4152194
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For this case we must multiply the following expression:
Applying distributive property we have:
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents:
Adding similar terms:
Answer:
