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
notka56 [123]
3 years ago
10

Find the vertex and zeros of the following function f(x)=x^2-6x-7

Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Try this solution:

Step-by-step explanation:

1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.

2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).

x₀=6/2=3;

y₀= (4ac-b²)/4a; ⇒ y₀= -16.

It means, the coordinates of the vertex are (3;-16).

You might be interested in
If you see that gasoline costs $1.70 in Georgia and $3.40 in California, you can
grin007 [14]

The question is incomplete:

If you see that gasoline costs $1.70 in Georgia and $3.40 in California, you can  conclude that gasoline is twice as expensive in California as in Georgia. This  conclusion from this comparison reflects the function of money as a:

-store of value

-an object with a value that varies sharply from one place to another

-medium of exchange

-unit of account

Answer:

Unit of account

Step-by-step explanation:

-Store of value refers to something that can be kept for a period of time and maintains its value in the future.

-An object with a value that varies sharply from one place to another  means that products can have different prices in different places.

-Medium of exchange refers to an object with an standard value that allows  you to purchase goods or services.

-Unit of account refers to a numerical unit that allows you to compare the value of products and services.

According to this, the answer is that this  conclusion from this comparison reflects the function of money as a unit of account because it indicates that money works as a unit that you can use to compare the value of products, in this case the price of gasoline in different places.

6 0
3 years ago
The slope of the line is 0. It passes through the point (-3,4). Identify two other points on the line. Justify you answer
BARSIC [14]

Answer:

Two other points: (2, 4) (6, 4)

Step-by-step explanation:

A line with a slope = 0 is a horizontal line [with a y-intercept of (0, <em>b</em>)], given by the linear equation, <em>y</em> = 4<em>.  </em>This means that the y-coordinate will always equal to 4, regardless of its corresponding x-coordinate. Basically, we could choose any x-coordinate to pair with the y-coordinate of 4.

I chose the ordered pairs, (2, 4) and (6, 4).

Attached is a screenshot of the graphed linear equation, y = 4.        

5 0
2 years ago
The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated
Nookie1986 [14]

f(x) + n - shift a graph of f n units up

f(x) - n - shift a graph of f n units down

f(x + n) - shift a graph of f n units left

f(x - n) - shift a graph of f n units right.

f(x) = x³, g(x) = (x - 2)³ - 3 = f(x - 2) - 3

2 units right and 3 units down.

3 0
3 years ago
Read 2 more answers
The volume of a prism is 150 cm3.
Flauer [41]
This is a conversion problem..

<span>1 cm = 0.01 m
</span>
so 150 cm would be 1,50

So it's D.<span>1.50 m</span>³
8 0
3 years ago
Frenza is planning an $160,000 expansion to launch a new product line. Frenza currently earns $100,000 in net income, and the ne
Tcecarenko [31]

Based on the current income to Frenza, and the proposed expansion amount, the net income and return on equity for the three options are:

Don't Expand:

  • Net income = $100,000.
  • Return on equity = 25%.

Debt financing:

  • Net income = $137,200.
  • Return on equity = 34.3%.

Equity financing:

  • Net income = $150,000.
  • Return on equity = 26.8%.

<h3>What happens if Frenza doesn't expand?</h3>

Net income will remain at $100,000.

Return on equity would be:

= Net income / Equity

= 100,000 / 400,000

= 25%

<h3>What happens if Frenza uses debt financing?</h3>

Income goes to $150,000.

Net income:
= Income - interest

= 150,000 - (8% x 160,000)

= $137,200

Return on equity:

= 137,200 / 400,000

= $34.3%.

<h3>What happens if Frenza uses equity financing?</h3>

Income goes to $150,000.

No interest payment so net income is $150,000.

Return on equity:

= 150,000 / (400,000 + 150,000 new equity)

= 26.8%

Find out more on return on equity at brainly.com/question/1427854.

3 0
2 years ago
Other questions:
  • How to set up this problem
    7·1 answer
  • Isac bought 7 packages of chips. Each bag contained 14oz. What is the total weight of 7 bags. Give your answer in ounces and pou
    13·2 answers
  • A car is driven on a straight track such that its displacement from the starting point is given as x = t + 2t2. What is the aver
    8·1 answer
  • The ratio of empty seats to full seats in the auditorium is 3 to 7 if there are 203 seats for find the total number of empty sea
    7·1 answer
  • Factor 20pq- 20 qr +4p - 4r
    6·1 answer
  • A t-shirt company has initial costs of $1200 per month and it costs them $3.50 per shirt.
    10·1 answer
  • Pleeeeeeassesesesaerxvdrcgcdrcxf help me
    15·2 answers
  • The graphic shows the 108 students
    6·1 answer
  • (8 ^ 4 * 9 ^ 5)/(16 ^ 2 * 27 ^ 3)<br>help needed plzzzzzz helppppp ​
    12·1 answer
  • What is the geometric mean between 20 and 15?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!