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3 years ago

The function f(x)=3x+12x+11 can be written in vertex form as?

1 answer:

7 0

y = -3(x - 2)^2 + 1 x-coordinate of vertex: x = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1 Vertex form: y = -3(x - 2)^2 + 1 Check. Develop y to get back to standard form: y = -3(x^2 - 4x + 4) + 1 = -3x^2 + 12x - 11.

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Worth lot of points :))))

maxonik [38]

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

-4/3 = (6 - y)/[4-(-2)]

-4/3 = (6-y)/6

(-4/3)×6 = 6-y

-8 = 6-y

y = 6 + 8

= 14

7 0

3 years ago

Read 2 more answers

(a) The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it

cricket20 [7]

Answer:

0.714 ; 0.556 ; (A1 n A2 n A3) = 0

Step-by-step explanation:

Given that :

P(oil) = 0.35

P(filter) = 0.45

P(oil n filter) = 0.25

P(filter | Oil) = P(oil n filter) / P(oil)

P(filter | Oil) = 0.25 / 0.35 = 0.714

11)

P(Oil | filter) = P(oil n filter) / P(filter)

P(Oil | filter ) = 0.25 / 0.45 = 0.556

Number of red aces = 2

Queen or king = 4 + 4 = 8

Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16

Total number of cards in deck = 52

Choosing without replacement :

Hence,

A1 = 2 / 52

A2 = 8 / 51

A3 = 16 / 50

(A1 n A2 n A3) ;this means card common to all three events.

However, (A1 n A2 n A3) = 0 because ;

1.) No red ace card is greater than 3 and less than 8.

11.) An ace card can neither be a king nor a queen

3 0

2 years ago

Identify the terms of the coefficients of the expression. 8x-20y-10

baherus [9]

The terms of this expression would be 8x,-20y, and -10. The coefficients are the numbers in front of the variable so they would be 8 and 20 because they are accompanied by a variable.

3 0

3 years ago

Tan^2 70° -sec^2 70°

kipiarov [429]

Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°.

We know that,

$\sec^2\theta-\tan^2\theta=1$ ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

4 0

2 years ago

Hello! How to do question 5 (iii)?

Colt1911 [192]

Answer:

using your brain you have to find it on your own

8 0

2 years ago