What is the vertex of this parabola? y= 2x² + 4x +5

Answers

Answer 1

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )


Related Questions

Lupe spent $6.48 on a notebook and a pack of pencils, including tax. If the notebook cost $2.00 and the pencils cost $3.99, how much was the tax?

Answers

48 cents ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

What is the rental rate, in dollars per person, if 6 people plan to rent the houseboat?
1
Number of People (X)
Rental Rate (P dollars per person)
2
3
240
120
80

Answers

Answer: 120 i think

Step-by-step explanation:

HELP ME PLS DUE AT 2:30

Answers

Answer: okay i will help you :)

Step-by-step explanation I think while riding is the best company because $400 you can get a lot of pencils and it's not $144 for a hundred pencils and I think that's the best answer because you get more pencils but the other one give you more pencils but it's more so I think it's this one because you can a 100 pencil fo 40.. dollars so i think it is the first answer hope this helps :)

Find the value of y:

8y(4y+24)

Answers

Answer:

32y² + 192y

Step-by-step explanation:

First, we need to distribute 8y. This gets us 32y²+192y. I do not believe you can simplify that. I hope this helps!

That’s what i found

What is the value of f -1 (12)

Answers

-1 us a answer for your questions or support

The correct answer is The first one -2

uber charges a $5 pickup fee and $0.25 per mile. define variables and write an equation to model this situation.
KC yellow Cab Co. charges $1.75 for pickup and $0.75 per mile. define variables and write an equation to model this situation.
using both functions, determine which company is a better value for a 5 mile ride. show your work.

what are some real world limitations to the domain and range of both functions?​

Answers

Answer:

See below

Step-by-step explanation:

Uber$5 pickup fee$0.25 per mile

Equation

y = 0.25x + 5

Cost of 5 miles:

y = 0.25(5) + 5 = $6.25KC yellow Cab Co.$1.75 pickup fee$0.75 per mile

Equation

y = 0.75x + 1.75

Cost of 5 miles:

y = 0.75(5) + 1.75 = $5.5

Comparing the cost we see KC yellow Cab Co. is better value for a 5 mile ride.

If FGH=QRS, find the measure of
11
9
34
28

Answers

Answer:

9 degrees

Step-by-step explanation:

Set 2x+10 and 3x+1 equal to each other and solve

What is the slope of the line?
pls help I need the answer

Answers

Answer:

the slope of a horizontal line is 0

What is the common differenec in 7, 6, 5, 4,...

Answers

Answer:

d = - 1

Step-by-step explanation:

The common difference d between consecutive terms is

6 - 7 = 5 - 6 = 4 - 5 = - 1

Answer:

Step-by-step explanation:

help plss i will mark brainliest

Answers

Answer:

x = 8

Step-by-step explanation:

10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^

Answer:

x =25/2

10/8 = x/10

- Cross multiply

8x=100

- Divide both sides by 8

x=100/8

- Simplify

x=25/2

Hope This Helps!

7. Simplify the expression.
3[(15 – 3)2 + 4

Answers

Answer:

84

Step-by-step explanation:

Answer:

If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.

Step-by-step explanation:

3 [ ( 15-3 ) 2 ] + 4

= 3 [ ( 12 ) 2 ] + 4

= 3 [ 24 ] + 4

= 69 + 4

= 73

I WILL MARK BRAINIEST
PLEASE HELP ASAP

Answers

Answer:

2101

Step-by-step explanation:

Apply -12 to the x

-(-12)^3+3(-12)^2+5(-12)+1

Then Simplify

2101

I hope it's right

Y’all I need help!!! {picture}

Answers

Answer:

first and second choice

Solve the system.

x+2y=0

2x-y=4

The solution is ___

Explain your choice of method.

Answers

Answer:

x = 8/5 and y = -4/5

The method used was SUSTITUION METHOD

Step-by-step explanation:

x = -2y

2(-2y)-y = 4

-4y-y = 4

-5y = 4

y = -4/5

then

x= -2(-4/5)

x = 8/5

Plz help I need to finish this now

Answers

Answer: it’s the second one

Step-by-step explanation:

In softball, Marissa hits the ball 40% of the time when she is up to bat. Based on this information, how many times will Marissa hit the ball if she goes to bat 30 times?

Answers

Answer:

Marissa hit the ball 12 times if she goes to bat 30 times.

Step-by-step explanation:

Given that:

Marissa hits the ball 40% of the time when she is up to bat.

Marissa gets to bat for 30 times.

Balls hit by Marissa = 40% of the times Marissa goes to bat

Balls hit by Marissa = [tex]\frac{40}{100}*30[/tex]

Balls hit by Marissa = 0.4 * 30

Balls hit by Marissa = 12

Hence,

Marissa hit the ball 12 times if she goes to bat 30 times.

Which word below means ¨to make as small as possible

Answers

Answer:

Minimize

Step-by-step explanation:

Hope this helps!

is 1/4x -7+9/4x +2x equivalent to 4x-7

Answers

Answer:

no

Step-by-step explanation:

Answer:

I believe not

Step-by-step explanation:

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-5, -8): y = - 3x + 2​

Answers

Given:

The equation of line is

[tex]y=-3x+2[/tex]

To find:

The equation of line parallel to given line and passes through (-5,-8).

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=-3x+2[/tex] with the slope intercept form, we get

[tex]m=-3[/tex]

Slope of given line is -3.

Slope of two parallel lines are same. So, the slope of parallel line is -3.

Equation of line passes thorough the point (-5,-8) with slope -3 is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the line.

[tex]y-(-8)=-3(x-(-5))[/tex]

[tex]y+8=-3(x+5)[/tex]

[tex]y+8=-3x-15[/tex]

Subtract 8 from both sides.

[tex]y=-3x-15-8[/tex]

[tex]y=-3x-23[/tex]

Therefore, the equation of required line is [tex]y=-3x-23[/tex].

Brielle's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80/ If Brielle has 66 nickels, write and solve a linear equation to find the number of dimes she has. I know the answer is 45 dimes, but how do I write this in standard form?

Answers

Answer:

$4.50

Step-by-step explanation:

40x10=400

400 pennies=4 dollars

5x10=50

50 pennies=1/2 dollar

Find the product.
(4x2 + x - 5)(2x + 1)

Answers

8x^3+6x^2-9x-5

Hope this helps

simplify polynomial expressions with multiplication:
(8p-7)(5p^2+7p-3)

Answers

Answer:

-2p3 • (62p2 + 72p - 143)

Step-by-step explanation:

-9(x + 6) = -207 and
5x-3(x-3)= -6+6x-5

Answers

Answer:

x=17,x=5

Step-by-step explanation:

Item 4
Write an equation in point-slope form of the line that passes through the point (2,−8) and has a slope of 4.

Answers

Answer:

y = 4x - 16

Step-by-step explanation:

Plug in the slope and point into y = mx + b, and solve for b:

y = mx + b

-8 = 4(2) + b

-8 = 8 + b

-16 = b

Then, plug in b and the slope into y = mx + b

y = 4x - 16 is the equation in point slope form

9514 1404 393

Answer:

  y +8 = 4(x -2)

Step-by-step explanation:

Point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . line of slope m through point (h, k)

Filling in the given point and slope, you have ...

  y -(-8) = 4(x -2)

  y +8 = 4(x -2)

What is the length of segment JK

A. 6
B. 8
C. 9
D. 10

Answers

JK is equal to 9, so c
You have to set up a proportion, i’m going to use LM and DC
i’m going from the biggest quad to smallest quad, while setting up a proportion. 20/15=12/x
cross multiply, getting 20x=180
then divide both sides by 20, getting 9!

24=−3(2a−14)−3a
what is A?

Answers

Answer:

a = 2

Step-by-step explanation:

Hope this helps and have a nice day :)

Answer:

a=3

Step-by-step explanation:

24=3(2a-14)-3a

distribute

24=6a-42-3a

subtract 3a from 6a

24=3a-42

add 42 to both sides

66=3a

divide 3

3=a

a=3

hope this helps :)

50 % of blank = 21 plz I need help with that question

Answers

Answer:

42

Step-by-step explanation:

50% of ? = 21 is saying that you need to do 21 x 2, which is 42.

Answer:42

21 x2 = 42. Therefore 1/2 or 50% of 42 is 21

Step-by-step explanation:

Can someone explain to me what she was trying to say?-

Answers

Answer:

You had to solve the equation to it's fullest (so work out the problem on paper) Apperently that is her version of explaining something and I lost 100 braincells reading that! XD

Step-by-step explanation:

Hope this helps! :)

Pls help I will give brainlist!


Match each inequality with the number line that represents it.

Answers

Answer:

-3 [tex]\leq[/tex] x matches with 6,

3 < x matches with 5,

x [tex]\geq[/tex] 3 could not simplify any further

x < 3 could not simplify any further

x [tex]\leq[/tex] -3 could not simplify any further

-3 > x matches with 3

Step-by-step explanation:

i used a inequality calculator

4/5 + 3/5 add following numbers and simplify

Answers

Answer:

1 2/5 is your answer in decimal form it is 1.4

4+3/5

7/5~Simplify this fraction~

1 2/5~Is your answer after you simplify~

Answer:

7/5, or 1 2/5 if you're looking for a mixed fraction.

Step-by-step explanation:

Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5

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