You're correct, the answer is C.
Given any function of the form
, then the derivative of y with respect to x (
) is written as:
In which
is any constant, this is called the power rule for differentiation.
For this example we have
, first lets get rid of the quotient and write the expression in the form
:
Now we can directly apply the rule stated at the beginning (in which
):
Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
Answer:
y = 1/2x - 7
Step-by-step explanation:
slope intercept form:
y = mx + b
y = -5
m(slope) = 1/2
x = 4
y = mx + b
<em>substitute </em>
-5 = 1/2*4 + b
-5 = 2 + b
-5 - 2 = b
-7 = b
y = 1/2x - 7
Answer:
equation: p=15m+10
p=pages
m=months
amount of pages after 5 months: 85
Step-by-step explanation:
You know Clara already has 10 pages, and that 15 will be written per month. Therefore, the equation is p=15m+10
To find the answer for 5 months simply substitute m
15(5) + 10
75+10
85=total pages
Answer:
x = 5/39
, y = 539/39
Step-by-step explanation:
Solve the following system:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
In the first equation, look to solve for y:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:
y - (5 x)/2 = 27/2
Add (5 x)/2 to both sides:
{y = 1/2 (5 x + 27)
12.25 x - y = -12.25
Substitute y = 1/2 (5 x + 27) into the second equation:
{y = 1/2 (5 x + 27)
1/2 (-5 x - 27) + 12.25 x = -12.25
(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
In the second equation, look to solve for x:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:
(39 x)/4 - 27/2 = -49/4
Add 27/2 to both sides:
{y = 1/2 (5 x + 27)
(39 x)/4 = 5/4
Multiply both sides by 4/39:
{y = 1/2 (5 x + 27)
x = 5/39
Substitute x = 5/39 into the first equation:
{y = 539/39
x = 5/39
Collect results in alphabetical order:
Answer: {x = 5/39
, y = 539/39
<u>Correct Question:</u>
What is the product in simplest form?
<u>Answer:</u>
is the product in simplest form
<u>Step-by-step explanation:</u>
We can find the simplest form of solving two fractions. So, to make the fractions multiplication simple, multiply two fractions in the numerator and divide it by the denominators of the two fractions. In the given case,
To simplify, multiply both 6 and 3 in numerator and multiply 11 and 4 in denominator of two fractions. So, we get
To simplify the above, divide 18 and 44 by their greatest common factor, which is 2. By doing this, we get
