When a line and a curve are tangent to each other, they are joined together by 1 point (x,y). So, you equate both equations either in terms of x or y. For this problem, let's equate in terms of y.
y = k - x
y = x² + 3x + 1
k - x = x² + 3x + 1
k = x² + 3x + x + 1
k = x² + 4x + 1
This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
Hi there!
First, let's create an equation for the table: m = 2n + 40. Using this equation, we can find the values of x, y, and z.
WORK:
x = 2(4) + 40
x = 8 + 40
x = 48
y = 2(5) + 40
y = 10 + 40
y = 50
z = 2(6) + 40
z = 12 + 40
z = 52
Next, using the equation, we know that the initial investment would be 40, since that is the y-intercept of the equation. To express M in terms of N, that would be our equation m = 2n + 40. To find 10 years, we'll plug in 10 for n.
WORK:
m = 2(10) + 40
m = 20 + 40
m = 60 after 10 years
To figure out when his investment would double, we'll need to use 80 (double his initial investment of 40) in place of m.
WORK:
80 = 2n + 40
40 = 2n
n = 20 years
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer: i think its 65n
Step-by-step explanation:
You would multiply 32,000 x 0.05 = 1,600 so
1,600 x 4 = 6,400
So the population would grow by 6,400 every 4 years.
Answer:
90
Step-by-step explanation:
There are 10 people who can be picked for the first position, which leaves 9 people who can be picked for the second position.
10 × 9 = 90
You can also use permutations.
₁₀P₂ = 90
