1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naya [18.7K]
3 years ago
7

Y=(x^2-6x+14) Labeling the vertex

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0
I leaerned this neat trick
you don't need to convert to vertex form

where
y=ax^2+bx+c
the x value of the vertex is -b/2a
the y value is found by inserting the x value of the vertex into the equation


so

1x^2-6x+14
-b/2a=-(-6)/2(1)=6/2=3
plug that in
y=x^2-6x+14
y=3^2-6(3)+14
y=9-18+14
y=5

the vertex is (3,5)
You might be interested in
Which numbers belong to the domain of the relation?Choose all answers that are correct.
STALIN [3.7K]
B and D because the domain is the set of X coordinates. (x, y) x is your domain.
6 0
3 years ago
Aidan is paying his taxes and realizes that he was in the first tax bracket (10%) last year. Eleven years ago, he bought a commo
Makovka662 [10]
So let us analyze the given table above. In the first tax bracket, he doesn't have to pay tax on the dividends. The $565 he earned in dividends is not taxable as well. Also the common stock he bought for $705 since this is a long term evidence. So the only taxable would be <span>$780 in coupons on a corporate bond. So multiply this by 10% and you get $78. Therefore, the answer would be the first option. Hope this helps.</span>
3 0
3 years ago
Members of the theater club sold tickets for the spring
DerKrebs [107]

Answer:

C. 125 + 120x = 180 + 110x

t = $5.5

Step-by-step explanation:

A.125t + 120 = 180t + 110

B. 120t + 110t = 125 + 180

C. 125 + 120t = 180 + 110t

D. 125 - 120t = 180 - 110t

Friday

$125 + 120t

Saturday

110t + 180

equate Friday and Saturday

125 + 120t = 110t + 180

Collect like terms

125 - 180 = 110t - 120t

-55 = -10t

Divide both sides by -10

t = -55 / -10

= 5.5

t = $5.5

6 0
3 years ago
Consider a manufacturing company. They produce thousands of widgets with a defective rate of 0.11. If a sample of 3 widgets is d
kenny6666 [7]

Answer:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون

Step-by-step explanation:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالونفي الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل

6 0
3 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
3 years ago
Other questions:
  • Let f(X) = (x^7(x-6)^8)/(x^2+5)^9
    12·1 answer
  • Approximate the distance between points -3,5 and 7,-1. 5.7 units 32 units 11.7 units 136 units
    13·1 answer
  • susan was born in 1957 and Valerie was born in 1982.How many years old was susan when valerie was born
    11·2 answers
  • PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
    5·1 answer
  • Pls help, I need to get my test done b4 the end of today, and I still need to finish the rest of the questions!
    9·1 answer
  • Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?
    12·2 answers
  • 3h-5h+11=17 Solve Equation.
    5·1 answer
  • In a class of 32 students 25% are boys. How many students are boys?
    14·2 answers
  • Each student in a group of 32 students was asked the following question.
    15·1 answer
  • Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!