Rewriting the equation of the given line in slope-intercept form,
From this, we know the slope of the given line is -1/4.
Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.
Substituting into point-slope form,
Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
This shows that both functions have the same y-intercept
<h3>Polynomial and exponential functions</h3>
Given the following functions as shown:
f(x) = -x^2 + 2x + 1
g(x) = 2^x
The y-intercept occurs at x = 0
For f(x) = -x^2 + 2x + 1
f(0) = -0^2 + 2(0) + 1
f(0) = 1
For the g(x), the y intercept is caculated as:
g(0) = 2^0
g(0) = 1
This shows that both functions have the same y-intercept
Learn more on intercept here: brainly.com/question/1884491
Answer:
-10
Step-by-step explanation:
g(x) = -3x^2 +4x+5
Let x = 3
g(3) = -3*(3)^2 +4*3+5
= -3*9 +12+5
= -27+12+5
= -10
Y= 2x+6
You just have to go back wards from what you have. You already know the slope is 2 and slope is the change is y over the change in x. 2=2/1
So every time you take away 1 from x, you’re going to take away 2 from y.
(2,10) will become (1,8) which will be come (0,6).
You know have your y intercept (6)
So the equation for the line is y=2x+6
