The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.
<h3>What is a factorization?</h3>
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
f(x) = x³ - x² - 4x + 4
Then the factor of the equation will be
f(x) = x²(x - 1) - 4(x - 1)
f(x) = (x² - 4)(x - 1)
f(x) = (x² - 2²)(x - 1)
f(x) = (x + 2)(x - 2)(x - 1)
Then the solution to the equation will be
(x + 2)(x - 2)(x - 1) = 0
x = -2, 1, 2
The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.
More about the factorization link is given below.
brainly.com/question/6810544
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It is 33/8......
You multiply the whole by the denominator then add the numerator and you'll get 33/8!
The volume of the cylinder is 254,571.43cm³.
The surface area of the cylinder is 22,628.57 cm².
<h3>What is the volume of the cylinder?</h3>
A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder =πr²h
- π = 22/7
- r = radius = diameter / 2 = 60/2 = 30cm
22/7 x (30²) x 90 = 254,571.43cm³
Surface area = 2πrh + 2πr²
(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)
16, 971.43 + 5657.14 = 22,628.57 cm²
To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219
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Answer: The base is 18.3ft
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)
Step-by-step explanation:
Given;
Area = 280ft^2
height = 5x
Base = 6x
The area of the parallelogram A can be written as;
Area = base × height
A = b×h
Substituting the values of Area, base and height.
280 = 5x × 6x
280 = 30x^2
x^2 = 280/30
x = √(280/30)
Since the base = 6x ;
Substituting the value of x.
Base = 6x = 6(√(280/30))
Base = 18.3ft
The base is 18.3ft
5x + 1 = 5x + n
n - any real number except 1
Examples:
n = 2
5x + 1 = 5x + 2 <em>subtract 5x from both sides</em>
1 = 2 FALSE -> NO SOLUTION
n = 0
5x + 1 = 5x + 0 <em>subtract 5x from both sdies</em>
1 = 0 FALSE -> NO SOLUTION
n = -4
5x + 1 = 5x + (-4) <em>subtract 5x from both sides</em>
1 = -4 FALSE -> NO SOLUTION
