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asambeis [7]
3 years ago
11

Find the vertex of the parabola given by y=2x^2-4x-1

Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0
Given the quadratic y = 2x^2-4x-1,  I identify A = 2, B= -4 and C = -1. The axis of symmety: x = -b/2a  --> 4/2(2) = 4/4 = 1. Therefore, the x-coordinate of the vertex is 1. To find the y-coordinate, I plug in 1 for x into the quadratic. Hence, y = 2(1)^2-4(1)-1 ---> -3.  The coordinates of the vertex are (1,-3).
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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul
Stella [2.4K]

Answer:  F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.


Explanation:


1) The three expresssions,  F / 0.15;  15 F / 100; 3F / 20; are equivalent.


2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:


  • Call n the amount of figurines owned last year.
  • F is the number of figurines purchased: F  = 15%n = 0,15n
  • Hence, you just need to clear F from the expression F = 0.15n
  • Divide both sides by 0.15:

        F / 0.15 = n or n = F / 0.15 (reflexive property)

  • To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

       (F / 0.15) × (100 / 100) = 100F / 15

        100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

 



4 0
3 years ago
Read 2 more answers
Find the unit cost of a store sells a dozen eggs for 1.99.
Charra [1.4K]

Answer: 0.16$

Step-by-step explanation: You would do 1.99 divided by 12 because 12 equals to a dozen, 1.99 divided by 12 to get 0.16 cents.

8 0
3 years ago
What is 12 divided by 22
Yuki888 [10]

12 divided by 22 is a repeating decimal

12 ÷ 22 = 0.545454......

Hope this helps you

-AaronWiseIsBae

7 0
3 years ago
Read 2 more answers
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,
Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red  and 6 blue cards. Then the event of  of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′  = It  will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0
3 years ago
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
boyakko [2]

Answer:

y^2 + 8y + 16

Step-by-step explanation:

(6y^2 + 2y + 5) - (5y^2 - 6y - 11) =

The first set of parentheses is unnecessary, so it can just be removed.

= 6y^2 + 2y + 5 - (5y^2 - 6y - 11)

To remove the second set of parentheses, you must distribute the negative sign that is to its left. It changes every sign inside the parentheses.

= 6y^2 + 2y + 5 - 5y^2 + 6y + 11

Now you combine like terms.

= 6y^2 - 5y^2 + 2y + 6y + 5 + 11

= y^2 + 8y + 16

7 0
3 years ago
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