Answer:
y=3x-9
Step-by-step explanation:
Hi there!
we are given a point (4,3), and a line (y=-1/3x+4)
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
first, let's find the slope of the new line.
we can find it with this formula: (m=slope)
-1/3m=-1
multiply both sides by -3
m=3
here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept
y=3x+b
we need to find b
Because the line passes through the point (4,3), we can use it to find b
substitute x as 4 and y as 3
3=3(4)+b
multiply
3=12+b
-9=b
substitute into the equation
<u>y=3x-9</u>
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Given
s(t) = 10t²
To find s(2) and s(5) substitute t = 2 and t = 5 into f(t)
(a)
s(2) = 10 × 2² = 10 × 4 = 40
s(5) = 10 × 5² = 10 × 25 = 250
(b)
s(5) - s(2) = 250 - 40 = 210
This represents the distance travelled in 3 hours
(c)
The average rate of change is measured as
= 
= 
= 70 miles per hour
Answer:
n = 15
Step-by-step explanation:
For inputs of the value of n, the running time for the algorithm A is 100n^2 and that of B is 2^n.
If A is to run faster than B, 100n^2 must be smaller than 2^n.
Let's check from n = 1 to know the value of n that fits
n = 1
100(1)^2 > 2^1
100 > 2
n = 2
100(2)^2 > 2^2
400 > 4
n = 4
100(4)^2 > 2^4
1600 > 16
n = 8
100(8)^2 > 2^8
6400 > 2^8
n = 16
100(16)^2 < 2^16
25600 < 2^16
This implies that between n = 8 and 16, A starts to run faster than B
n = (8+16)/2 = 12
100(12)^2 > 2^12
14400 > 2^12
n = (12+16)/2 = 14
100(14)^2 > 2^14
19600 > 2^14
n = (14+16)/2
n = 15
100(15)^2 < 2^15
22500 < 2^15
At n= 15, A starts running faster than B
I think AB is 3!!
i hope i’m right good luck ,:D
