Answer: -260
Step-by-step explanation:
Answer:
Infinitely many
Step-by-step explanation:
12x+1=3(4x+1)-2
Expand 3(4x+1)-2
12x+3-2
12x+1
12x+1=12x+1
Simplify.
0=0
True for all values of x
The function that is a tangent to the graph of f is
<h3>What is the concept of integral?</h3>
The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.
Knowing that :
- 40x + y = 0 is tangent of f(x)
- slope of the line = -40
therefore, f'(x)|x=a = -40, so only look for a we have:
if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:
Therefore,
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Answer:
Step-by-step explanation:
we know that
The function of the graph is a vertical parabola open upward
The vertex is a minimum
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
In this problem
Looking at the graph
The vertex is the point (0,-4)
substitute
To determine the value of "a" take a point in the graph
I take the point (3,5)
substitute the value of x and the value of y and solve for a
therefore
The equation of the quadratic function is
False because 5 is associated with two values.
To be a function, the domain can only map to one range value, but in this case, 5 is mapped to two values, 1 and 3.