Which point gives the vertex of f(x) = - x2 + 4x - 3?
A) (2,-1)
B) (-2,-13)
C) (2,1)
D) (2,-13)

Answers

Answer 1

Answer:

(2,1)

Step-by-step explanation:

f(x) = - x^2 + 4x - 3

Factor out the negative

f(x) = - (x^2 - 4x + 3)

Factor

f(x) = -(x-3) (x-1)

The zeros are at

0 = -(x-3) (x-1)

 x-3 =0   x-1 =0

x=3   x=1

We know the vertex is 1/2 way between the zeros

(3+1)/2 = 4/2 =2

The x coordinate of the vertex is 2

Substitute x=2 into the equation

f(2) = -(2^2-4(2) +3)

     = -(4-8+3)

    = -(-1)

    = 1

The vertex is (2,1)


Related Questions

Which triangle side lengths form a right triangle? Choose all that apply.

➪ 5, 6, 7
➪ 6, 8, 14
➪ 8, 15, 17
➪ 10, 12 15
➪ 15, 20, 15
➪ 16, 18, 20​

Answers

Your answer would be C (8,15,17) and E (15,20,15) or is it 25?

Step-by-step explanation:

:)

Nancy uses her $10 allowance to buy a dress. She got $2 bills and 2quarters in change. what was the price of the dress???

Answers

Answer:cdjbskbbN

Step-by-step explanation:2 2/4

Answer:

$7.50

Step-by-step explanation:

10 - 2.50 = 7.50

What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8

Answers

Answer:

4/1/7 ( 4 and 1 over 7)

Step-by-step explanation:

First add all the numbers

1+2+3+4+5+6+8= 29

Finally you divide the total by counting the numbers which you have add up

29÷7

= 4/1/7 ( 4 and 1 over 7)

Mark me as the brainiest answer

Answer:

Step-by-step explanation:

1. Mean

1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32

32/ how many numbers there are

32/ 8 . = 4

Mean = 4

1 2 3 3 4 5 6 8

3 2 1 1  0 1 2 4

3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14

14/how many numbers there are

14/8 = 7/4 or in mixed form 1 3/4

help me please will give brainliest

Answers

Answer:

0.4

Step-by-step explanation:

What is 12% of 36 plz help

Answers

Answer:

12% of 36 is 4.32

4.32
0.12 times 36 is 4.32

please help I'll give brainliest

You are wrapping a cube shape present that is 1.5 feet tall. How much wrapping paper will you need to wrap the entire present?​

Answers

the answer is going to be 6.0

Step-by-step explanation:

1.5 + 1.5 = 3

3 + 3 = 6

sharon runs 7/10 mile mile in 6 minutes. How many miles does she run in one minute? In one hour?

Answers

Answer:

7/60 miles in one minute

7 miles in one hour

Step-by-step explanation:

7/10 = 6 minutes

/6        /6

7/10  / 6 =    7/10 * 1/6 =  7/60

B. 7/10 = 6 minutes

     *10         *10

7/10 *  10 =   70/10  = 7 miles

7 miles = 60 minuites

What is the average rate of change for f(x) = 2x - 4 over the interval 2 Sxs 6?
A)
8
B)
10
C)
15
D)
18

Answers

Answer:

8 i think i hope it helps

good night

You buy a watch for $60. There is a 6% sales tax. What is your total cost for the watch?
(Answer is $63.60)

Use the information above to help you answer this question. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? (DO NOT INCLUDE THE TAX)

Answers

Answer:

Step-by-step explanation:

60 *15%= 9

60 - 9 = 51

the discounted watch cost

$51.00

Please help! I need help ASAP and the question is in the picture. I’m giving 35 points! PLEASE HELP ASAP

Answers

Answer:

36x

Step-by-step explanation:

I believe this should be the answer. I hope it helps.

1. You are rolling a pair of dice. What's the probability of getting different numbers on both dice?

Answers

Answer:

5/6

Step-by-step explanation:

Total outcomes:

6*6 = 36

Outcomes with same numbers on both dice:

6

Outcomes with different numbers on both dice:

36 - 6 = 30

Probability of different numbers on both dice:

30/36 = 5/6

please help quick please

Answers

Answer:I need help with the same thing.

Step-by-step explanation:

Answer:

I want to say it is b but yeah not sure.

hope I am right

Use 4 terms of the series to approximate :

Answers

[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]

-. For the event of rolling three standard fair 6-sided dice, find the following probabilities. Give all
answers as a simplified fraction.
The probability of rolling a sum of 8 or a sum of 12.
P(Sum is 8 u Sum is 12)


Answers

Answer:

23/108

Step-by-step explanation:

Remark

There are 6 * 6 * 6 = 216 ways that you can throw three dice. There are 21 different ways of throwing an 8There are 25 different ways of throwing a 12I'll list the eights. The 12s are done the same way.

Ways of making Eight

116125134143152161215224233242251314323332341413422431512521611

Answer

P(8) = 21 / 216

P(12) = 25/ 216

P(8 or 12) = 21/216 + 25/216

P(8 or 12) = 46/216 = 23/108

help me asap please help me help thank you

Answers

Answer:

H

Step-by-step explanation:

Area of a square is given as 16 unit²

Since formula of square is

A=l²

16=l²

l=√16

=4

4. Let's say we do an opinion poll and find that 56% of the people say the Green Bay Packers
are their favorite team, while 22% choose the Chicago bears, and 10% choose the Dallas
Cowboys. What percent of people must have a favorite team other than these three teams?

Answers

56+22+10 = 98
100 - 88 = 12
12% of people have a favorite team other than the three teams

Ethan earns $41.25 in five hours. Oliver earns $30.00 in four hours. Fabianna's hourly rate is less than Ethan's, but more than Olver's. What is her hourly rate?



$7.35


$8.25



$7.75



$6.50

Answers

Answer:

7.75

Step-by-step explanation:

41.25 divided by 5 is 8.25

30 divided by 4 is 7.5

7.75 > 7.5 but 7.75 < 8.25

I hope this helps!

Anyone know this......

Answers

The general equation is given as,

Un+1 = (Un)^3+2

here, n = number of the sequential entries like 0,1,2,3... so on.

so we get here as,

Uo = -3 , so we find U1 and U2

U1 = n+1 = 0+1

so,

===> U1 = (-3)^3 +2

===> U1 = -27 + 2 ==> U1 = -25

now, U2

U2 = n+1 = 1+1

so,

U2 = (-25)^3 + 2

U2 = -15625 + 2 ===> U2 = -15623

hence,

U1 = -25 and U2 = -15623

Will give the brainliest answer and 20 points to anyone who can give a complete answer and not a scam link or a joke answer or begging for points (those 3 types of answers will be reported)

Courtney and Christy both leave the coffee shop at the same time, but in opposite directions. If Christy travels 9 mph faster than Courtney and after 7 hours they are 189 miles apart, how fast is each traveling?

Courtney is traveling ___________ mph.

Christy is traveling _____________ mph.

Answers

Answer:

Courtney is travelling at 9mph

Christy is travelling at 18mph

Step-by-step explanation:

Courtney's speed = x

Christy's speed = y

Christy travels 9 mph faster than Courtney: x+9=y

Distance = speed * time

Courtney's distance after 7 hours = 7x

Christy's distance after 7 hours = 7y

After 7 hours, they're 189 miles apart:

7x+7y=189

x+y=27

x+y=27

x+x+9=27

2x=18

x=9

y=x+9

y=9+9

y=18

One coin is flipped six times. What is the probability of flipping two heads and four tails?

Answers

Answer:

1/6 x 1/6 = 1/36

1/36 is our probability of getting two heads and four tails.

Lillian has 26 counters. Bill has 9 times as many counters as Lillian. How many counters does Bill have?

Answers

Answer:

234 counters

Step-by-step explanation:

If Lillian has 26 counters, and Bill has 9 times as many counters. You can do 26 x 9 which gives you the answer 234. Therefore, Bill has a total number of 234 counters.

The number of the counters Bill will have are 234.

What is the relation?

The connection between the two variables by making them one time to the other is called a relation.

If Lillian has 26 counters, and Bill has 9 times as many counters. You can do 26 x 9 which gives you the answer 234. Therefore, Bill has a total number of 234 counters.

Read more on relations follow

https://brainly.com/question/23220139

#SPJ2

Heavy general purpose trucks are often used in pipeline operations. They are built to hold up when carrying or pulling substantial loads, and yet still be suitable for regular highway use. A new truck with appropriate options is purchased for $47,000. It is estimated to have a useful life of 5 years and a salvage value of $2,900 at that time.

Required:
Develop a table showing the depreciation.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price=  $47,000  

Salvage value= $2,900  

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1                 8820                                8820                  38180

2                 8820                                17640                  29360

3                 8820                                26460                  20540

4                 8820                                      35280                 11720

5                 8820                                 44100                    2900

What is the perimeter of the figure on the coordinate plane below.

Answers

Answer:

C) 22 units

Step-by-step explanation:

2x(9-1)=16

2x(5-2)=6

16+6=22

Answer: maybe 0 if i sound unreasonable then I'm really sorry I'm only in 4th grade.

Step-by-step explanation: -10 + 10 + -10 + 10

Y(2.5+7)+y-2
10.5y-2

Answers

Answer:

−200y − 2

Step-by-step explanation:

y(2.5 + 7) + y −210.5y − 2

=9.5y + y + −210.5y + −2

=(9.5y+ y + −210.5y) + (−2)

−200y − 2

Mark me brainllest

Complete this table. FRACTION DECIMAL PERCENT 3. (a) 0.6 (b) (99) 4. (a) (b) 5% (99)​

Answers

Answer:

for number 3 fraction is ⅗ and percentage is 60%

for number 4 the fraction is 1/20 and the decimal is 0.05

Step-by-step explanation:

hope it will help

should I show the working?

A right cylinder has a radius of 3 and a height of 12. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units​

Answers

Answer:

[tex]A=72\pi\ units^2[/tex]

Step-by-step explanation:

Given that,

The radius of the cylinder, r = 3

Height of the cylinder, h = 12

We need to find the surface area of the cylinder. The formula for the surface area of a cylindrical object is given by :

[tex]A=2\pi rh\\\\=2\times \pi\times 3\times 12\\\\=72\pi\ units^2[/tex]

So, the surface area of the cylinder is equal to [tex]72\pi\ units^2[/tex].

Stock in Macy's costs $25.75 per share. Hector buys 200 shares of Macy's
through his broker who charges a commission of $25.75. How much did George
pay in total to purchase the stock?

Answers

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

If a 100 part spinner is spun and then a coin is flipped how many possible outcomes are in the sample space for the compound event

Answers

Answer:

200

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

If x= 10 which lines are parallel? Check all that apply. (8x - 25) b (12x - 5) (7x - 5) (10x + 15) a​

Answers

Answer:

150 A

Step-by-step explanation:

THIS THE ANSWER

I HOPE IT HELPS

You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary. (Answer $31.94)
The cost of shipping is 15% of the total cost. What is the total cost plus shipping?
$36.73

(Use the questions/answers above to help solve this below)
If the total cost plus shipping is greater than $35, then you receive a 10% discount off the original selling price. Do you qualify? If so, what is the new total cost plus shipping?

Answers

the answer is 33.06 because 36.73 is 33.06 with the 10% discount
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