What is the vertex of the graph of y = x2 + 4X?
O (-2, -12)
O (-2,-8)
O(-2,-6)
O (-2,-4)

Answers

Answer 1

Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

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

y = x² + 4x ← is in standard form

with a = 1, b = 4, c = 0 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

Substitute x = - 2 into the equation for corresponding value of y

y = (- 2)² + 4(- 2) = 4 - 8 = - 4

vertex = (- 2, - 4 )


Related Questions

Which expression is a factor of 21x2 + 13x – 20?​

Answers

Answer:

B. 7x - 5

Step-by-step explanation:

U need to add more information to this individual question please answer this, thank you

Based on the picture below (note that it is not drawn to scale), Maggie says that . Is she correct? Explain why or why not.

Answers

Answer:

Step-by-step explanation:

By using the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

If ΔSMA ~ ΔPOD

[tex]\frac{SM}{PO}=\frac{MA}{OD}=\frac{SA}{PD}[/tex]

[tex]\frac{6}{10}=\frac{5}{10}=\frac{5}{12}[/tex]

[tex]\frac{3}{5}=\frac{1}{2}=\frac{5}{12}[/tex]

Since, ratios of corresponding sides are not equal,

Therefore, the given triangles are not similar.

A sum of money is shared between 2 friends in the ratio 2 : 3. If the larger

share is $450. What is the total sum shared?

Answers

Answer:

$750

Step-by-step explanation:

Larger share = $450

Smaller share : Larger share :: 2 : 3

Smaller share = (larger share x 2) / 3

= (450x2)/3

= 300

Sum= larger share + smaller share

= $450 + $300 = $750

Math help please I will give brainlist if correct

Answers

Answer:

A=48

B=25

C=44

D=67

im stumped by e srry

If 50 kg of rice cost Rs 375,how much can be purchased for Rs.525?​

Answers

Answer:

70kg can be purchased for Rs 525

Step-by-step explanation:

Let the quantity of rice that can be bought with Rs 525 be = x

           Rice ( kg)                Cost (Rs)

              50                          375

                x                           525

  [tex]\frac{50}{x} = \frac{375}{525} \\\\x \times 375 = 50 \times 525\\\\375x = 26250\\\\x = \frac{26250}{375} = 70 \ kg[/tex]

Therefore 70kg rice can be purchased for Rs. 525

Worth 10 points please help me

Answers

Answer:

(2,1)

Step-by-step explanation:

one half of (4,2) would be (2,1)

easy math, just a little tricky logic

-7 2/3 + (-5 1/2) + 8 3/4

Answers

Answer:

the answer would be -1339/24

i need help with this problem

Answers

Answer:

Step-by-step explanation:

Her angle of depression is the same measure as the angle of inclination inside the triangle. That's the base angle that is not the right angle. The height of the triangle is the 10,000 feet she is up in the air, and the reference angle is 20, and we are looking for the measure of the base of this right triangle. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio:

[tex]tan(20)=\frac{10000}{x}[/tex] and

[tex]x=\frac{10000}{tan20}[/tex] so

x = 27474.77 feet

Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work

Answers

Answer:

y = 6x - 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes , then

y = 6x + c ← is the partial equation

To find c substitute (3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = 6x - 19 ← equation of parallel line

At the grocery store last week, small boxes of facial tissue were on sale at 4 boxes for $5. This week they mark a new price at 5 boxes for $4. What is the percent decrease in the price per box this week?

Answers

Answer: 36%

Step-by-step explanation:

Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:

= $5/4

= $1.25 per box

This week they mark a new price at 5 boxes for $4. The price per box will be:

= $4/5

= $0.8 per box

The percent decrease in the price per box this week will be:

= (1.25 - 0.80)/1.25 × 100

= 0.45/1.25 × 100

= 36%

The Percentage decrease is 36%

Apply the distributive property to create an equivalent expression.
\dfrac12(2a - 6b+ 8) =
2
1

(2a−6b+8)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 2, a, minus, 6, b, plus, 8, right parenthesis, equals

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]a-3b+4[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: a-3b+4

Step-by-step explanation:

Credits to guy up there

3. Apply what you have learned to answer the following question. Select the correct choice
and explain your reasoning
Which equation has the same number of solutions as 914x + 2) 71588) -
А
C
3(8x 12) 5(
39)
B flor + 9) - / 12x + 8
D
3(180 + 10) = 313x + 2) -
A
О ООО

Answers

Answer:

shshghhhsjsjjsjsjs

Step-by-step explanation:

snnsbzhhhshs

These prisms are similar. Find the volume
of the larger prism in decimal form.
5 m
7 m
Volume = 50 m3
Volume = [ ? ] m3

PLEASE HELP IM OVERDUE

Answers

Answer:

98 m³

Step-by-step explanation:

For similar shapes

The ratio of the cube of the corresponding length of similar shapes is equal to the ratio of their volume.

Applying,

L³/L'³ = V/V'............... Equation 1

Where, L = Length of the smaller prism, L' = Length of the larger prism, V = Volume of the smaller prism, V' = Volume of the larger prism

From the question,

Given: L = 5 m, L' = 7 m, V = 50 m³

Substitute these values into equation 1

5²/7² = 50/V'

25/49 = 50/V'

V' = (50×49)/25

V' = 98 m³

Answer: 137.2

Step-by-step explanation:

I'm just making the correct answer an actual answer instead of a comment so it's easier to see

can someone pls pls help me?

Answers

Answer:

its 30 or 24

Step-by-step explanation:

but its most likely 30

A rectangle has an area of 161.2m2.
One of the sides is 5.2m in length.
Work out the perimeter of the rectangle

Answers

Answer:

72.4 m

Step-by-step explanation:

The area of a triangle is

A = l*w

161.2 = 5.2 *w

Divide each side by 5.2

161.2/5.2 = w

31 =w

Now find the perimeter

P =2 (l+w)

P =2 ( 5.2+31)

P =2( 36.2)

P =72.4

Which system of equations has infinitely many solutions?

Answers

The last one. Both lines are the same

How long would the processing take to develop 1000 negatives if it takes 5 minutes to develop 100 negatives? minutes Type the correct answer, then press Enter.​

Answers

Answer:

50 minutes

Step-by-step explanation:

First you need to find out how many times 100 will fit into 10

1000/100 = 10

then you need to multiply it by 5, because each 100 negatives takes 5 minutes.

10 * 5 = 50

your answer is 50.

Rearrange the formula to make x the subject.

y = x -5

Answers

Answer:

[tex]x=y+5[/tex]

Step-by-step explanation:

[tex]y=x-5[/tex]

[tex]y+5=x[/tex]

[tex]x=y+5[/tex]

Using the Pythagorean Theorem, find the distance between the points.

Answers

Answer:

(5,7,8.6)

Step-by-step explanation:

Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

Which of the following segments is a diameter of O? ​

Answers

Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB

16. Solve y2 - 17x + 30 = 0 by factoring.​

Answers

Answer:

x = 15 , x = 2

Step-by-step explanation:

[tex]x^2 -17x + 30 =0\\\\x^2 -2x-15x +30=0\\\\x(x-2)-15x(x-2) =0\\\\(x-15)(x-2)=0\\\\[/tex]

x = 15 , x = 2

Fessvhrddvg 26fggggggioytrewe

Share $600 between Anna and Raman in the ratio 3:7 and 1:4

Answers

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

Shares when ratio is 3 : 7

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

                   [tex]\frac{3}{10} \times 600 = \$ 180[/tex]

Raman 's share=

                  [tex]\frac{7}{10} \times 600 = \$ 420[/tex]

Shares when ratio is 1 : 4

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

                   [tex]\frac{1}{5} \times 600 = \$ 120[/tex]

Raman's share =

                  [tex]\frac{4}{5} \times 600 = \$ 480[/tex]

Which is the graph of y - 3 = -2/3(x + 6)?

Answers

Answer:

Step-by-step explanation:

y - 3 = -2/3(x + 6)       Remove the brackets on the right

y - 3 = -2/3x - 2/3 * 6  Simplify the right

y - 3 = -2/3x -  4          Add 4 to both sides

y = - 2/3 x - 1

I'm going to enclose the graph. Pick the one that has a y intercept at (0,-1) and and an x intercept of (-1.5, 0)goes from the lower right to the upper left as the graph below shows.

What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)

Answers

Answer:

[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]

PLEASE HELP!! Which variable is most important to the following problem?

Jackie played the first 8 minutes of a basketball game. Layla then replaced
her for the rest of the half. Layla started the second half and was replaced by
Jackie with 9 minutes left in the game. If each half is 16 minutes long, how
long did Jackie play?

A. The number of players who played during the game

B. The number of minutes Layla played in the second half

C. The total number of minutes Jackie played

D. The length of the half

Answers

Answer:

Step-by-step explanation:

d

D because I need free pass

how many eggs are 5 dozen​

Answers

Answer:

A dozen is 12.

12*5 = 60 eggs

5 dozen eggs are equal to 60 eggs.

A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.

When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.

To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):

5 dozen x 12 eggs/dozen = 60 eggs

Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ6

Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.

How many pieces can he cut?


Ignore the answer I put

Answers

Answer:

80

Step-by-step explanation:

Given that :

Length of rope = 16 m

Length per Piece of rope to cut = 0.2 m

The number of pieces of rope that can be cut :

Length of rope / length per piece of rope

16 / 0.2

= 80

Hence, 80 pieces of 0.2 m rope will be cut

Simplify by factorising first

Answers

Answer:

x+8

Step-by-step explanation:

Simplify the numerator

list the factors of 16

16: 1, 2, 4, 8, 16

look for two factors that add up to the b value

in this case it is 18

by looking at the factors 2 and 8 add up 10

so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]

Split the trinomial into two separate binomials each having one of the factors that add up to 10

So it should be [tex]x^{2} +2x and 8x+16[/tex]

Factor both binomials

you can factor an x from the first one

Then it is x(x+2)

Factor an 8 from the second one

8(x+2)

So it should be [tex]x(x+2) 8(x+2)[/tex]

This can rewritten as (x+8)(x+2)

So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]

simplify it by canceling out the two (x+2)'s

this is because (x+2)/(x+2) is 1

Finally you get x+8

I NEED THIS NOW NO LINKS OR ILL REPORT PLZZZ

Answers

Answer:

2x + 4

Step-by-step explanation

Answer:

it's B, because 2*x and 2*-6 give 2x-12+16 which is 2x+4

- If 4x = 4, what is the value of 3y ?
2y
X
A)
3
4
B)
ما در
C)
2
D) 2

Answers

Answer:

C

Step-by-step explanation:

[tex] \frac{4x}{2y} = 4[/tex]

Simplify fraction:

[tex] \frac{2x}{y} = 4[/tex]

Divide both sides by 2:

[tex] \frac{x}{y} = 2[/tex]

[tex] \frac{x}{y} = \frac{2}{1} [/tex]

[tex] \frac{y}{x} = \frac{1}{2} [/tex]

[tex] \frac{3y}{x} [/tex]

[tex] = 3( \frac{y}{x} )[/tex]

[tex] = 3( \frac{1}{2} )[/tex]

[tex] = \frac{3}{2} [/tex]

Step-by-step explanation:

everything can be found in the picture

Other Questions
Kayleigh has $4500 in a savings account at the bank that earns 0.8% interest per year. How muchinterest will she earn in 3 years? Which integer represents a gain of 4 yards in a football game? PLZ HELP!!!! NO LINKS What was the purpose of Hardy and Weinbergs work?A) To learn where genetic information is storedB) To count the total number of alleles in the worldC) To learn how to control the mating of organismsD) To determine how allele frequency changes PLEASE help! I really appreciate it thanks! If the surface becomes smaller the pressure becomes PLEASE HELP WILL GIVE BRAINLIEST what did the bill & Melinda gates foundation do to help with climate change Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth. GIVING OUT BRAINLIEST HELP PLEASE In a newsvendor model where the demand has normal distribution, if Co < Cu, i.e., the overage cost is lower than the underage cost, then the optimal ordering quantity (i.e., the Newsvendor ordering quantity) will be:_______. which idea is shared by both the declaration of independence and the declaration of the rights of man Solve this im stuck please solve! Gillette invented the safety razor. When they decided to sell the safety razor at a low price then charge higher prices for replacement blades, they created a new business model called:_______. Khi nim Kinh t cng nghip Which line on this excerpt from Walt whitman's "O captain! My captain!" Reflects the theme of patriotism that dominates the poem In a sewage treatment facility, an optimal environment is maintained for the survival of naturally occurring species of microorganisms. These organisms canthen break the sewage down into relatively harmless wastewater. For these microorganisms, the wastewater facility serves as1.its carrying capacity2.a food chain3.an ecosystem4.an energy pyramid function travelSpeed = CalculateTravelSpeed(startX, startY, endX, endY, travelTime) % startX, startY: Starting coordinates % endX, endY: Ending coordinates % travelTime: Travel time in hours % Write an anonymous function to compute distance given two coordinates % Function name: EuclideanDist % Function inputs: x1, y1, x2, y2 % EuclideanDist = ... % Do not modify the statement below travelSpeed = EuclideanDist(startX, startY, endX, endY) / travelTime; end Helppp and explain pleaseeeeee!!!!!! There has to be 10 connections..