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

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:

Plz help I need to finish this now

Answers

Answer: it’s the second one

Step-by-step explanation:

Which word below means ¨to make as small as possible

Answers

Answer:

Minimize

Step-by-step explanation:

Hope this helps!

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

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].

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!

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:

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

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)

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

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

Answers

Answer:

x=17,x=5

Step-by-step explanation:

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

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.

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!

Y’all I need help!!! {picture}

Answers

Answer:

first and second choice

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:

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 :)

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

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.

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

Answers

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

Hope this helps

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! :)

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

Answers

Answer:

the slope of a horizontal line is 0

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

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 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 :)

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

Answers

Answer:

-2p3 • (62p2 + 72p - 143)

Step-by-step explanation:

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

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

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
Other Questions
Which statement describes a ratio? Do anybody know how to do this ? This typa work is unnecessary bruh I hate school ! Determine if the point (5, 7) is on the line ofEquation 5x + 6y = 67 Is this correct??? Someone please help PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table. Composed of two flat pins or flat holes for the live and neutral wire, commonly found in the household here in the Philippines.A.)FuseB.)circuit breakerC.)Type A electrical plug or outlet D.)Type B plug or outletScience subject Help me please thanks Los estudiantes (tener que*) estudiar los verbos= present; preterite; future *a) tengo que; tuve que; tendr queb) tiene que; tuvo que; tendr quec) tienen que; tuvieron que; tendrn qued) tienes que; tuviste que; tendrs que Help! Help help help help help help 4 substances containing nitrogen or phosphorous that are related to biological processes Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is 1+2+3=360. Help!! I need an answer asap!! Given ab, find m1 = 71. Find: m5, m8 The book Uncle Tom's Cabin by Harriet Beecher Stowe was popularamong southern planters for its positive portrayal of slavery and therural South question is in picture Discussion Topic: (In Your Own Words)How did writing change during the eighteenth century? Two ice-skaters are skating in circles on a frozen pond. Maria is making large circles with a radius of 12 m and skating 4.5 m/s. Her friend, Samantha, is making smaller circles with a radius of 6 m but is not skating as quickly, going only 3.8 m/s. How could each skater increase her centripetal acceleration without changing the size of her path? Explain your reasoning. Read the following sentence about the ending of a story: After searching for years, a woman finally finds her long lost son in Mexico. Which example of foreshadowing for this event would be the most obvious? A. Earlier in the story, the woman speaks to a relative who has lived in Mexico. B. Earlier in the story, the woman has a dream that she finds her son in Mexico. C. Earlier in the story, the woman recalls a trip she once took to Mexico) D. Earlier in the story, the woman thinks of different places to look, including Mexico, What does Dorothy learn on her adventures? Is she different when she gets home? The process that describes the body's natural physiological response to stress is known as the A. general survival response B. general adaptation syndrome C. physiological adaptation response D. physiological survival syndrome Does the blue on the graph represent a function ?