Answer:
<u>2x⁵ + x⁴ - x³ + 6x² + 3x - 3</u>
Step-by-step explanation:
Given :
- f(x) = x³ + 3
- g(x) = 2x² + x - 1
Finding (f × g)(x) :
- f(x) × g(x)
- (x³ + 3)(2x² + x - 1)
- 2x⁵ + 6x² + x⁴ + 3x - x³ - 3
- <u>2x⁵ + x⁴ - x³ + 6x² + 3x - 3</u>
Answer: Decompose means the opposite, to take apart. In this lesson, the words composition and decomposition are used to describe how irregular figures can be separated into triangles and other polygons. The area of these parts can then be added together to calculate the area of the whole figure.
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
x:12
6:3
When 12 go to 3: multiple 4
So 6 multiple 4 = 24
Answer:
The next step is to find the point on the circle which makes a tangent line that passes through the outside point.
Step-by-step explanation:
A tangent line to a circle is a line that touches the circle at exactly one point. You need two points to draw a line. You already have one point and the circle, then you need the other point, which lies on the circle. These two points have to lie on the same line. Notice that there are two possible tangent lines.
Answer:
a.) 13 students
b.) 53 members
Step-by-step explanation:
a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.
b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.
