what is the vertex of y=x^2 +x-6?

Answers

Answer 1

y =(x+ 1/2 ²- 25/4 . explanation. y=x²+x=6 . complete the square.

y=x²+x+(1/2)² -6 - 1/4 . simplify

y=(x+1/2²)- 25/4 in the vertex form

hope this will help u


Related Questions

airplane a traveled 1273 miles in four hours.For airplane b y=621 x/2 represents rate of speed over the same four hours wichair plane traveled at a faster rate and by what factor?round to the nearest hundredth

Answers

Answer: Airplane A by a scale factor of 1.02

Step-by-step explanation:

Airplane A: 1273/4=318.25

Airplane B: Rate is the slope of equation, 621/2=310.5

So,

318.25/310.5=1.0249

Airplane 'a' is faster than airplane 'b' by a factor of  1.03 times.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, An airplane 'a' traveled 1273 miles in four hours.

∴ The airplane 'a' traveled (1273/4) = 318.25 miles per hour.

For airplane b y = (621x)/2 + 0b represents the rate of speed over the same four hours

∴ The rate of change per hour for airplane 'b' is (621/2) = 310.5 miles.

So, airplane 'b' is faster than airplane 'a' by a factor of (318/25/310.5) = 1.0257 = 1.03 times.

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Marcelle claims that both these functions have the same discriminant.
Do you agree with Marcelle?
If you do, what is the value
of the discriminant?
If you disagree, explain why?

Answers

Answer:

Yes because they both only have one zero so the discriminant for both is 0

Step-by-step explanation:

explanation above lol

The two functions have the same discriminant b² - 4a = 0.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.

Now, From the graph the discriminant and properties here,

D = 0 as the vertex of the parabola intersect only at one point.

b² - 4ac = 0.

The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).

So, they have the same discriminant.

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What is 78/100 in standard form

Answers

Answer:

0.78 x 10^ 0

Step-by-step explanation:

Please help me with this and explain how you got the answer. :)

Answers

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

=

The selling price of an item is Rs 194. If the loss is 3 %, find the cost price

Answers

Answer:

188.88

Step-by-step explanation:

A toy store marks down every toy by 15% in January. How much does a toy cost during January? Use p for the price in December.

Answers

Answer:

s=p−(p⋅d) .      0.75p

Step-by-step explanation:

A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above

Answers

Answer:

The answer is B

Step-by-step explanation:

Determine whether the ordered pair (-5,36) is a solution to the equation 2x- y/2 = -8

Answers

No.
An order pair is in the format of (x,y). Therefore, in the order pair (2,4), 2 is the x and 4 is the y. When you plug these numbers into the equations you don’t get equal answers:

4(2) = 4 - (4)
8 ≠ 0

3(2) = 26 + 5(4)
6 ≠ 46

Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Wyatt played and the number of rides Wyatt went on.

Answers

Answer:

Wyatt played 3 games and went on 6 Rides

Step-by-step explanation:

Let games be represented as x

Let ride be represented as y

Each game cost $1.25

Each ride cost $2.75

Total money spent by Wyatt= $20.25

x1.25 + y2.75 = 20.25 ..... Equation 1

the number of rides he went on is twice the number of games he played

Y= 2x ... Equation 2

Substituting the value of y into equation 1

x1.25 + y2.75 = 20.25

x1.25 + 2(x)2.75 = 20.25

x1.25 + x5.5 = 20.25

x6.75= 20.25

x= 20.25/6.75

X= 3

Y= 2x

Y= 2(3)

Y= 6

Wyatt played 3 games and went on 6 Rides

An architect's scale drawing of a new school is 8.4 inches
long. The scale used in the drawing is 2 inches = 8 feet.
What is the actual length, in feet, of the school?
Select one:
16.8
18.4
51.2
o
33.6

Answers

Answer:

33.6

Step-by-step explanation:

What is the result when you change the line y = 6/5 x + 2 to
Ax + By + C = 0 form?

Answers

Answer:

14x+7y=-214x+7y=−2

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

37x+26=42x+6
someone please help me solve this step by step

Answers

Step-by-step explanation:

37x+26=42x+6

x=4

If am wrong sorry

Answer:

x = 4

Step-by-step explanation:

1. Subtract 26 on both equation. (37+26−26=42+6−26)

2. Simplify and Subtract the numbers and repeat. (37=42−20)

3. Subtract 42x on both equation. (37−42=42−20−42)

4. Put together (simplify). (−5=−20)

5. Now divided with -5x. ( −5/−5=−20/−5)

6. Get your answer! (=x4)

~~~Hope this helps~~~

A taxi charges a flat fee of $2 and $0.75 per mile.
Angela can spend no more
than $20. How many miles
can she travel in the taxi?

Answers

Answer:

She can travel 7 miles in the taxi.

Step-by-step explanation:

2.75×7=19.25

5 (2k - 8 ) - 15 = -25
how do I solve this?

Answers

Answer:

3=k

5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=k

Rita owed her brother $ 15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive for her birthday ?

Answers

she received $60 on her birthday

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank

Answers

Answer:

it would be 0.64

Step-by-step explanation:

Need help with this question, Its geometry

Answers

Answer:

B. FE=40

Step-by-step explanation:

A. correct because FE = 58  6(8)+10=58

C. correct because 6(8)+10=40

D. correct because DF= 40  8(8)-24=40

Rachel's school play started at 9:20 AM.
It lasted 2 hours and 10 minutes.
What time did the play end?

Answers

Answer:

11:30

learn how to count you bozo

What is the area of the composite figure? Please answer need the answer now!

Answers

Answer:

65

Step-by-step explanation:

I think it’s 65 for this question

7/4x-5 + 2y - 3.5 + -1/4x + 5

Answers

-7/4+2y+1/4x is the answer

True or False. When adding a positive and negative integer, the sum maybe a positive Integer.

Answers

Answer:

True

Step-by-step explanation:

If the positive integer is greater than the negative integer, the sum will be positive.

Answer:

True

Step-by-step explanation:

Eg: 9+ -5=

Since 9 is the greater number, the answer shall take that value.

So, The main point is that when adding a positive to a negative, you can get a positive integer!

I hope this helps you!!  :)

Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place.

What is the percent of change in the cost of a hot dog? il mark you brainly

Answers

Answer:

devide them by each other and then when it is deamal form put it in %

:)

Step-by-step explanation:

Brainliest plz

Answer:

Cost of the Pizza is 20%

Cost of the Cheeseburger is 30%

Cost of the Fries is 125%

Step-by-step explanation:

The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?

Answers

Answer:

0.025 $/in.

The store bought 300 ft of rope.

1 ft = 12 in.

300 ft * 12 in./ft = 3600 in.

The store bought 3600 inches of rope.

The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.

($1.60)/(40 in.) = $0.04/in.

The store sells the rope at a price of $0.04 per inch.

The store sold all the rope at $0.04/in.

3600 in. * $0.04/in. = $144

The store sold all the rope for $144.

The profit was $54 for selling ll the rope.

$144 - $54 = $90

The bought the rope for $90.

The cost is dollars per inch is

($90)/(3600 in.) = 0.025 $/in.

Step-by-step explanation:

The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).

In this case, the slope is given as 0.08.

Interpreting the slope:

A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.

This indicates a linear relationship between the quantity of rope sold and the selling price.

In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

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Midpoint (24,-20), endpoint (16,-17)

Answers

Answer:

Endpoint = (32,-23)

Step-by-step explanation:

end point = (16,-17)

midpoint = 24,-20)

other point = (x,y)

(x + 16)/2 = 24

x + 16 = 24 * 2

x + 16 = 48

x + 16-16 = 48-16

x = 32

======================

(y - 17/2 = - 20

y - 17 = - 20 * 2

y - 17 = - 40

y - 17+17 = - 40 + 17

y = - 23

ILL MARK U BRAINLIEST IF U EXPLAIN!!

Answers

Answer:

93

Step-by-step explanation:

the total of all those are 150 so if you multiply it by three you get 450

so multiply pizza by three too

to get 93

Answer:

93 students

Step-by-step explanation:

You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.

Therefore, 93 students would say pizza is there favorite food.

Hope this helps :)

√-125 Help what is the equal to

Answers

Answer:

Evaluation: √2

Simplified: |-2|+2

Hope this helps!

Answer:

11.18033989

Step-by-step explanation:

19 - 4x + 15x.

Please Help And Explain How To Do This.

Answers

Answer:

Step-by-step explanation:

19-4x+15x  combine like terms

19+11x

The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle

Answers

Answer:

L=8, W=4

Step-by-step explanation:

2L+2W=p

2(4)+2(8)=p

8+16=24

Answer:

length = 8 in.; width = 4 in

Step-by-step explanation:

Help needed. Only 1-5 is needed help on plz and ty

Answers

Answer:

number 5 is y= 3    7-3=4x4=16

Step-by-step explanation:

In order to find a constant rate of change, the function must be linear.
True or False?

Answers

TRUE, a linear function has a constant rate of change while a non-linear does not.
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