1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leni [432]
3 years ago
11

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Mathematics
1 answer:
Fofino [41]3 years ago
7 0
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

You might be interested in
I need help plz help me
Galina-37 [17]
147 divided by 7 which equals = 21
7 0
3 years ago
Find the value of X for the given parallelogram
KatRina [158]
Opposite angles in a parallelogram are congruent

So,


6x-10 = 2x + 50

Now solve like a normal equation

4x = 60
x = 15
8 0
2 years ago
What is 62500000 in standard form
8090 [49]
<span>Not included first digit (6), there are 7 digits so 

62 500 000 = 6.25×10^7</span>
5 0
4 years ago
Hannah and andrea were selling tickets to the homecoming dance. they were set up in different
coldgirl [10]

The relationship between the number of tickets is that Hannah sold three times as many tickets as Andrea.

<h3>How to determine the relationship?</h3>

From the question, we have:

Andrea = h

Hannah = 3h

This means that:

Hannah = 3 * Andrea

So, the relationship is that Hannah sold three times as many tickets as Andrea.

Read more about statements at:

brainly.com/question/4344214

#SPJ1

5 0
2 years ago
If
Nitella [24]

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

6 0
2 years ago
Other questions:
  • A group of five will rent a car for a spring break trip and divide the costs associated with the car among them. The rental cost
    11·1 answer
  • On the football team, two out of every seven players are seniors. If the team has 84 players, how many of the players are not se
    12·2 answers
  • How to do quadriatic equations
    11·1 answer
  • The pyramid shown has a volume of 248.22 units3 and a base area of 102.01 units2. Find the height of the pyramid.
    8·1 answer
  • A 18,000 gallon swimming pool contains 7,000 gallons of water of water when a hose is placed in the pool and begins adding water
    11·2 answers
  • How do solve this problem -45=28-13+10b
    6·2 answers
  • What is "7/4 as a mixed number?<br>A. 13/4<br>B. 1/4<br>C. 3/4<br>D. 1'/4<br>​
    8·1 answer
  • 50 points. Please explain each step​
    5·2 answers
  • I need help please (brainllest)
    6·1 answer
  • Which of these graphs represent a function?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!