Fill in the point values in the formula for the derivative.
____
<u>Example</u>
y = x^2 + 3x . . . . . we want y' at (x, y) = (1, 4)
y' = 2x +3 . . . . . . . take the derivative dy/dx of the function
Fill in the value x=1 ...
y' = 2·1 +3 = 5
The value of the derivative at (x, y) = (1, 4) is 5.
Vertex form is
y=a(x-h)²+k
vertex is (h,k)
to solve
input the given vertex and then the given point, solve for a
vertex at (-2,2) and a point is (-4,-10)
y=a(x-(-2))²+2
y=a(x+2)²+2
put point (-4,-10)
-10=a(-4+2)²+2
-10=a(-2)²+2
-10=4a+2
-12=4a
-3=a
y=-3(x+2)²+2
Answer:
The numbers are
and
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so

----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
so
The positive real number is
Find the value of y

Answer:
13
Step-by-step explanation:
1/4 of 52 is actually telling us to multiply 1/4 by 52 over 1.
1/4×52/1
=13
Answer:
The y-intercept is where an equation's graph hits the y-axis. It represents the constant value, when x=0, the intercept is the constant
Step-by-step explanation: