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2 years ago

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

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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