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
Sergio [31]
2 years ago
12

Find the equation of the quadratic function F whose graph is shown below. F(x) = ?

Mathematics
1 answer:
zepelin [54]2 years ago
6 0

Answer:

y = x² - 2x - 3

Step-by-step explanation:

y + 4 = C(x - 1)²

To determine C, use x = 4, y = 5

5 + 4 = C(4 - 1)²

9 = 9C, C = 1

y + 4 = (x - 1)² = x² - 2x + 1

y = x² - 2x - 3

You might be interested in
The length of a vegetable garden is 4 feet longer than its width. If the area of the garden is 140 square feet, find its dimensi
Lena [83]
Length is 14 and the width is 10
4 0
2 years ago
Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n
nikklg [1K]

Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ

6 0
2 years ago
A supervisor finds the mean number of miles that the employees in a department live from work. He finds x=29 and s=3.6 . Which s
qwelly [4]

Answer:

Option 3 is right

z37 is between 2 and 3 standard deviations of the mean.

Step-by-step explanation:

Let X be a random variable which represents the mean number of miles that the employees in a department live from work

X is normal (N(29,3.6)

WE have to find Z score for X

Z =\frac{x-29}{3.6}

=2.22

i.e. 37 is 2.22 std deviations from the mean.

In other words, z37 is between 2 and 3 standard deviations of the mean.

3 0
2 years ago
Two friends, Alejandro and Mia, agreed to split the check at a restaurant. Alejandro ordered $12 worth of food and Mia ordered $
kvasek [131]

Cost of Alejandro's food = $12

Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4

Cost of Mia's food = $18

Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7

Total Tip Paid = 2.4+2.7 = 5.1

Total Check Amount = 12 + 18 = 30

Total tip paid by Alejandro and Mia is r% of the total check amount.

So, we need to determine what % of 30 is equal to 5.1%

⇒ r% × 30 = 5.1

⇒ r% = 5.1 / 30

⇒ r% = 17%

Hence, r is 17%

8 0
3 years ago
The price of a four star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how m
leva [86]

For this case we can solve the problem by means of the following rule of three:

100 $ --------------> 100%

x -------------------> 250%

From here, we clear the value of x.

We have then:

x = (\frac{250}{100}) (100)

Rewriting we have:

x = 250

Answer:

The price of a four star dinner today is $ 250.

5 0
3 years ago
Other questions:
  • Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
    9·1 answer
  • The surface area S of a cube is equal to the sum of the areas of the 6 square faces that form the cube. We want to paint the cub
    10·1 answer
  • Can someone please help me draw in this grid and help find the perimeter and area of it !
    8·1 answer
  • A model rocket is launched with an initial upward velocity of 15 m the Rockets height is H equals 50 T minus 5T squared
    7·1 answer
  • You went to 23 houses trick or Treating and you get 3 pieces of Candy at each house how much candy do you have Total ?
    15·1 answer
  • When the sun shines at a 60° angle to the ground, Talisa's shadow is 36 inches long.
    13·2 answers
  • Pls help me pls and thank you
    12·1 answer
  • 0.1562 rounded to the nearest hundredth place
    12·2 answers
  • Please do the following step by step ​
    7·1 answer
  • The seventh grade students are having an end-of-year party in the school
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!