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Anton [14]
4 years ago
6

What is the y-value of the vertex of the function f(x)=-(x+3)(x-14)?

Mathematics
1 answer:
SIZIF [17.4K]4 years ago
5 0

If we expand the product, we have

f(x)=-(x+3)(x-14)=-x^2+11x+42

The x-coordinate of the vertex is given by

V_x=-\dfrac{b}{2a}=-\dfrac{11}{-2}=\dfrac{11}{2}

Plug this value in the equation to find the correspondant y-value:

f\left(\dfrac{11}{2}\right)=-\left(\dfrac{11}{2}\right)^2+11\left(\dfrac{11}{2}\right)+42=-\dfrac{121}{4}+\dfrac{121}{2}+42

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Mashcka [7]
<h2>Time taken by Helga to wax the car is 72 minutes</h2>

Step-by-step explanation:

Let w be the work of waxing.

Rosita can wax her car in 2 hours or 120 minutes.

Time taken by Rosita = 120 minutes

\texttt{Rate of Rosita = }\frac{W}{120}

Let time taken by Helga be t,

\texttt{Rate of Helga = }\frac{W}{t}

When she works together with Helga, they can wax the car in 45 minutes.

We have

             \frac{W}{\frac{W}{120}+\frac{W}{t}}=45\\\\120t=45(120+t)\\\\120t=5400+45t\\\\t=72minutes

Time taken by Helga to wax the car is 72 minutes

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Alexeev081 [22]

Answer:

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Step-by-step explanation:

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Is the term (x+1) a factor of the polynomial shown below? <br> f(x)=x^3-10x^2+27x-12
Ksenya-84 [330]

We can tell if this is a factor of the polynomial shown by using the remainder theorem.

First, we need to set x + 1 equal to 0.

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Now, we solve for x.

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Now, we can plug this value into the polynomial, and if the solution is 0, it means there is a remainder of 0, which means they divide perfectly.

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x + 1 is not a factor of the provided polynomial.

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