Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.
he has 188 bucks and 5 friends plus him each cost 19 bucks so divided 19 and 188 equal answer th em divided the answer and 5
Answer:
d) lim f(x) = -0.5
x---> 0
Step-by-step explanation:
Given:
lim [√(1 - x) - 1]/x
x -->0
When we directly substitute the limit x =0, we get
= 0/0 which is indeterminant form.
Now we have to use the L'hospital rule.
This is nothing but we need to differentiate the numerator and the denominator and apply the limit
d/dx (√1 - x) - 1= 1/2(√1 - x)^-1/2 (-1)
= -1/2(1-x)^1/4
Now we can apply the limit
lim -1/2(1 - x)^1/4 = -1/2 (1-0)^1/4
= -1 / 2(1)^1/4
= -1/2
= -0.5
Hope you understand the concept.
Thank you.
x-->0
Can you take a more clearer picture thx