Translate the English phrase into an algebraic expression: the product of the quotient of A and the sum of B and C, and the prod
1 answer:
Answer:
Step-by-step explanation:
You're multiplying two factors together (because at the start, it says the product of)
The first factor is the quotient of A, and the sum of B and C, so A divided by (B + C)
The second factor is whatever the product of D and E is, so you have to multiply those together first
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The sign of f on the interval -5/3 is negative
<h3>How to determine the sign?</h3>The function is given as:
f(x)=(2x−1)(3x+5)(x+1)
The zeros of the function are
x= -5/3, x= -1 and x= 1/2
Next, we plot the graph of the function
At x = -5/3, the function approaches negative infinity
This means that the sign of f on the interval -5/3 is negative
Read more about function intervals at:
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We have two points describing the diameter of a circumference, these are:
Recall that the equation for the standard form of a circle is:
Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.
For this we use the following equation:
Now, we replace and solve:
The center of the circle is (-8,-7), so:
On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:
In this case, we will solve the delta with the center coordinate and the B coordinate.
Therefore, the equation for the standard form of a circle is:
In conclusion, the equation is the following: