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The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:
(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40
Hence:
(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)
= 5(x² - 6x - 8)(x + 7)
= 5(x - 4)(x - 2)(x + 7)
The roots are at:
0 = 5(x - 4)(x - 2)(x + 7)
x = 4, x = 2 or x = -7
The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7
Find out more on equation at: brainly.com/question/1214333
We can divide the shape into a rectangle and a triangle:
(1) Area of rectangle = length*width
From the graph we can see that the length of the rectangle is 7 units and the width is 5 units
Area = 7*5 = 35 units^2
(2) Area of triangle = 1/2*bh
From the graph we can see that the base of the triangle is 4 units and its height is 5 units
Area = 1/2*4*5 = 10 units^2
(3) Total area = area of triangle + area of rectangle
= 10 + 35
= 45 units^2
Answer: answer B
Step-by-step explanation:
Numerator is the one above, and the one above is always the parts per whole.
The one beneath is what you count and it's called the denominator.
Answer:
Graph A
Step-by-step explanation:
