Answer:
Step-by-step explanation:
we know that
The equation of a line in point slope form is equal to
step 1
Find the slope m
we have the points
A(-2,-1),B(6,5)
The formula to calculate the slope between two points is equal to
substitute the values
simplify
step 2
Find the equation of the line
we have
substitute
Answer:
The answer is 7/8.
Step-by-step explanation:
If you add 11/16 to 3/16, you'll get 14/16. 14/16 has two numbers that are divisible by 2, so when you divide 14/16 by 2 you'll get 7/8 which is 14/16 in a simplified form. 7 is prime and you can't divide it down any more, but 8 i'snt the same way. The rule is, whatever you do to one side, you have to do to the other. You can divide 8, but not 7; therefore, you cannot simplify the fraction any further.
Answer:
y = 2x-17
Step-by-step explanation:
We have a point and a slope, we can write the equation in point slope form and then convert to slope intercept form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y-1 = 2(x-9)
Distribute
y-1=2x-18
Add 1 to each side
y-1+1 = 2x-18+1
y = 2x-17
This is slope intercept form
Answer:
Step-by-step explanation:
The domain of the function is the set of all possible inputs for the function. Therefore, the set of all possible inputs is .
Answer: 15e^5x
Step - by - step
y=3e^5x - 2
By the sum rule, the derivative of 3e^5x - 2 with respect to x is d/dx [ 3e^5x ] + d/dx [-2].
d/dx [ 3e^5x ] + d/dx [ -2 ]
Evalute d/dx [ 3e^5x ]
Since 3 is constant with respect to x , the derivative of 3e^5x with respect to x is
3 d/dx [ e^5x ].
3 d/dx [ e^5x ] + d/dx [ -2 ]
Differentiate using the chain rule, which states that d/dx [ f(g(x))] is f' (g(x)) g' (x) where f(x) = e^x and g(x) = 5x.
To apply the Chain Rule, set u as 5x.
3 ( d/du [ e^u] d/dx [5x] ) + d/dx [ -2]
Differentiate using the Exponential rule which states that d/du [ a^u ] is a^u ln(a) where a=e.
3( e^u d/dx[5x] ) + d/dx [ -2 ]
Replace
3(e^5x d/dx [5x] ) + d/dx [ -2 ]
3(e^5x( 5 d/dx [x] )) + d/dx [ -2 ]
Diffentiate using the Power Rule which states that d/dx [x^n] is nx^n-1 where n=1.
3(e^5x(5*1)) + d/dx [-2]
3 ( e^5x * 5 ) + d/dx [-2]
Multiply 5 by 3
15e^5x + d/dx [-2]
Since -2 is constant with respect to x, the derivative of -2 with respect to x is 0.
15e^5x + 0
15e^5x