It is going to be 20 inches
Divide 24/6 to get 4 You then multiply the four to the 5 to get 20
(5x³-7)(2x²+1)
OPTION D is the correct answer
The interval which the function is negative is (-∞, -6)
<h3>How to determine the interval?</h3>
The equation of the function is given as:
When the function is negative.
It means that g(x) is less than 0
i.e. g(x) < 0
So, we have:
Take the cube of both sides
x + 6 < 0
Subtract 6 from both sides
x < -6
The above represents a value from negative infinity to -6
i.e. (-∞, -6)
Hence, the interval which the function is negative is (-∞, -6)
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Answer:
Step-by-step explanation:
Slope intercept form is a way of expressing a line in the format;
Where (m) is the slope of the line, and (b) is the y-intercept. One can solve for (b) by substituting in a point on the line and using inverse operations to solve.
Substitute in point (-6, -1)
Area of the figure is 71.13
Step-by-step explanation:
- Step 1: Area of the figure can be found out by considering the parts individually as a semicircle, rectangle and a right triangle. Then add all the areas.
Find the area of the semicircle. Here, radius = 3.
Area = 1/2 πr² = 1/2 × 3.14 × 3² = 14.13
- Step 2: Find the area of the rectangle. Here, width = 6 and length = 8
Area = length × width = 8 × 6 = 48
- Step 3: Find the area of the right triangle. Here the height = width of the rectangle = 6 and base = 11 - 8 = 3
Area = 1/2 × base × height = 1/2 × 3 × 6 = 9
- Step 4: Find the total area.
Area of the figure = 14.13 + 48 + 9 = 71.13