Find the vertex of the parabola y=2x^2+10x+8​

Answers

Answer 1

Answer:

Step-by-step explanation:

Put the equation into vertex form.

y = 2x² + 10x + 8

= 2(x² + 5x) + 8

= 2(x² + 5x + 2.5²) - 2·2.5² + 8

= 2(x+2.5)² - 4.5

vertex (-2.5, -4.5)


Related Questions

Three landmarks of baseballachievement are Ty Cobb’s batting average of 0.420 in 1911,Ted Williams’s 0.406 in 1941, and George Brett’s 0.390in 1980. These batting averages cannot be compared directly becausethe distribution of major league batting averages has changed overthe years. The distributions are quite symmetric and (except foroutliers such as Cobb, Williams, and Brett) reasonably normal.While the mean batting average has been held roughly constant byrule changes and the balance between hitting and pitching, thestandard deviation has dropped over time. Here are the facts:
Decade
Mean
Standard Deviation
1910s
0.266
0.0371
1940s
0.267
0.0326
1970s
0.261
0.0317
Compute the standard units for the batting averages of Cobb,Williams, and Brett to compare how far each stood above his peers.Who is the better player of the three?

Answers

Answer:

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Step-by-step explanation:

Given the data:

Decade : 1910 __ 1940 ____ 1970

Mean, μ: 0.266 __0.267 ___ 0.261

S/dev, σ : 0.0371 _ 0.0326 __ 0.0317

To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.

Standardized score (Zscore) : (x - μ) / σ

Cobb, x = 0.420

Ted Williams, x = 0.406

George Brett, x = 0.390

COBB:

Zscore = (0.420 - 0.266) / 0.0371 = 4.1509

Ted Williams :

Zscore = (0.406 - 0.267) / 0.0326 = 4.2638

George, Brett = (0.390 - 0.261) / 0.0317 = 4.0694

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Adalia has a cooler where the inside is in a shape of a rectangular prism. The inside of the cooler is 20 inches wide, 14 inches high, and 12 inches long. What is the volume in cubic inches of the inside of the cooler?
( will give brainliest if u help)

Answers

Answer:

A.

Step-by-step explanation:

took test

I think the answer is A

What’s the slope of the line I forgot how to do it when it comes to negative ones :((!!

Answers

(4,-2) because your going up 4 and when you go up it’s positive and than left two it’s negative because when you go left it’s always negative (:

The number of students, s, is at most 30.​

Answers

Answer:

I'm confused

Step-by-step explanation:

maybe more context?

The diameter of a circle is 3 meters. What is the circumference?

Answers

Answer:

C≈9.42m

Using any of this formulas

C=2πr

C=2πrd=2r

Solution:

C=πd=π·3≈9.42478m

Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make chocolate pudding?

Answers

1/5=20%
4 gallons. 100%
x gallons. 20%
x=4•20/100
x=80/100
x=8/10
x=4/5
Mrs. Zirkle will use 4/5 gallons of milk.
I am not 100% sure.

Geometry!! Will give brainliest

Answers

    it's  the second one.

the manager of a school radio station is conducting a survey she wants to find out which type of music introvert how would the manager most likely get a random sample that represents the school population

Answers

Answer:

type of music students prefer. How would the manager most likely get a random sample

that represents the school population?

Step-by-step explanation:

I may or may not have given my explanation in my answer 0.0

the pounds p of the flour and how many cakes c you can make

Answers

Answer:

How many pounds of flour do you have and how many pounds of flour it takes to make a cake?

Step-by-step explanation:

the perimeter of a rectangle is 15x+17y. if the length is 7/2x+7y, then find the width of the rectangle
A.) 4x+3/2y
B.) 8x+3y
C.) 8x+10y
D.) 4x+3y

Answers

Answer:

A

Step-by-step explanation:

Length : [tex]\frac{7x}{2} + 7y[/tex]

Perimeter: [tex]15x + 17y[/tex]

Perimeter = 2(Length + Width)

15x + 17y = 2( [tex]\frac{7x}{2} + 7y[/tex] + Width)

15x + 17y = 7x + 14y + 2(Width)

15x + 17y -7x -14y = 2(Width)

8x + 3y = 2(Width)

Width = [tex]\frac{8x + 3y}{2}[/tex]

Width = 4x + 3y/2

Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2

Vertex ( ?,?)
y-intercept: ?

Answers

Answer:

Step-by-step explanation:

y = (x-1)²

vertex (1,0)

y-intercept = (0-1)² = 1

The age of a first-grader on September 1 at Garden Elementary School has the following distribution: f (x )space equals space 1 comma space space 5.8 less or equal than x less or equal than 6.8 We randomly select one first-grader from the class. Find the probability that she is over 6.5 years old. Round to one decimal place.

Answers

Answer:

lol

Step-by-step explanation:

lol

Is this a rational number

Answers

Answer:

Note that it is not a perfectly elastic result so it is irrational

Work out (5 x 10^3) (9 x 10^7)
Give your answer in standard form.

Answers

Answer:

(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10

(5x10^3)(9x10^7)=4.5x10^11
standard form move decimal to the right 11 times, so 450000000000

choose all answers that apply​

Answers

Answer:

none of the above

Step-by-step explanation:

An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.

Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?

Answers

Answer:

after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.

Easy Points! whats 2+2?

Answers

Answer:

4

Step-by-step explanation:

The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.

984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004

Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014

Answers

Answer:

Kindly check attached picture ;

(999.494 ; 1046.056) ;

(1003.235 ; 1042.315)

Step-by-step explanation:

Given the data:

888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260

Using calculator to obtain the mean and standard deviation :

Mean, x = 1022.775

Standard deviation, s = 75.124

Sample size, n = 40

Zcritical at 95% = 1.96

Zcritical at 90% = 1.645

Using the relation :

x ± E

E = error margin = Zcritical * s / sqrt(n)

At 95% ;

Error margin = 1.96 * 75.124/ sqrt(40) = 23.281

At 90% ;

Error margin = 1.645 * 75.124/ sqrt(40) = 19.540

Confidence interval at 95%:

(1022.775 - 23.281) ;(1022.775 + 23.281)

(999.494 ; 1046.056)

Confidence interval at 90%:

(1022.775 - 19.540) ;(1022.775 + 19.540)

(1003.235 ; 1042.315)

Which graph represents the function f(x)=0•2^x+3

Answers

Step-by-step explanation:

Literally, lets not waste anybody's time. Super simple fix, you'll thank me later!

Type in desmos graphing calculator.

POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?

Answers

There’s 355 milliliters of soda in one can

ill mark brainlist plss help

Answers

Step-by-step explanation:

Perimeter of rectangle = 2(l+b)

= 2(97+17)

= 2(114)

= 228cm

Answer:

P = 228 inches

Step-by-step explanation:

P = 2(l + w)

l = 97 inches

w = 17 inches

P = 2 (97 + 17)

P = 2 x 114

P = 228

Anji bought 4 shirts for $56.80. She later bought a shirt for $19.20. What was the mean cost of all the shirts in dollars?

Answers

Answer:

$15.20

Step-by-step explanation:

When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.

56.80 + 19.20 = 76

76 ÷ 5 = 15.20

Thus the mean cost is $15.20

Hope this helped!

The expression (x^3) (x12) is equivalent to x^n. What is the value of n?

3 and n are exponents

Answers

Answer:

Step-by-step explanation:

(x^3) (12x)

(x^4)(12)

12x^4

We can really find the exponent without knowing what x is equal to but I hope this helps

PLEASE HELP ME ITS URGENT ❗❗❗❗❗❗❗❗❗❗❗

Answers

Answer: W is your answer :)

Step-by-step explanation:

What is 0.11 / 22.77

Answers

Answer:

is your answer

0.00483091

Step-by-step explanation:

What is the product?

One-third times 33.99

Answers

Answer:

11.33

Step-by-step explanation:

um I'm not that good at explaining but...

33/3=11

99/3=33

put it together

11.33

Item 16
Find the perimeter of the figure to the nearest hundredth. due today

Answers

Answer:

42.84 cm

Step-by-step explanation:

1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm

2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm

3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm

Anastasia went shopping for birthday gifts and bought three of the same board game. She also spent $9.75 on birthday cards. Anastasia spent a total of $69.60. What was the price of each board game?

Answers

each board game costs $19.95

You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.

Answers

Answer:

dfffffdf

Step-by-step explanation:

The diagram below shows a circular pizza with a diameter of 16 inches. The pizza is in a square box with side lengths of 18 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

pls do mark my answer as the brainliest..........

Step-by-step explanation:

portion of square empty =  256 - 153.86 = 102.14cm^2

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