x*3-5=40
x*3-5+5=40+5
x*3=45
x*3/3=45/3
x=15
Therefore, the number is 15.
Answer:
Step-by-step explanation:
The figure is shown in the image attached.
Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.
The area of the bigger square is:
The area of the smaller square is:
The difference between these areas is:
Therefore, the expression that can be used to find the light gray area is:
Additionally, the expression is also a right answer, because it's equivalent to the first answer.
Answer:
The quotient is 2x² - 5x + 5, while the remainder is 0
Step-by-step explanation:
Given polynomial function;
4x³-12x²+15x-5 and a factor of 2x - 1
The quotient and remainder of the polynomial is calculated using the long division method;
2x² - 5x + 5
------------------------
2x - 1 √ 4x³-12x²+15x-5
- (4x³ - 2x²)
----------------------------
-10x² + 15x - 5
- ( -10x² + 5x)
--------------------------------
10x - 5
- (10x - 5)
-----------------------------------------
0
Therefore, the quotient is 2x² - 5x + 5, while the remainder is 0.
Answer: 5% commission rate
Step-by-step explanation:
50/1000 = 0.05
convert that to percent
which is 5%
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.