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3 years ago

Which is the graph of f(x)=x^2-2x+3

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

Step-by-step explanation:

Hello, the vertex is (1,2), right?

You remember that when the parabola equation is in standard form like below

$y=ax^2+bx+c$

The vertex is for , and we apply with this example where a = 1, b = -2, c=3

$x=-\dfrac{b}{2a}=\dfrac{-(-2)}{2}=1\\\\1^2-2*1+3=4-2=2$

So this is the first graph.

Thank you

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5000 CL equals how many Liters

sp2606 [1]

5000 Cl equals 50 Liters

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2 years ago

Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,

Helen [10]

<h3>Answer: 3/10 of a shed</h3>

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

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

1/5 = 8/40 .... multiply top and bottom by 8
5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

$\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}$

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

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2 years ago

I need help on this.

grigory [225]

Answer:

YOU A FAN OF BTS

Step-by-step explanation:

ME TOOO SIR OR MAMA

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3 years ago

Sarah wants to arrive at her friend's wedding at 3:00. The distance from Sarah's house to the wedding is 97 miles. Based on usua

atroni [7]

Answer:

First, you need to remember the relation:

speed = distance/time

We know that she needs to arrive at her friend's wedding at 3:00.

We also know that the total distance between her house and the wedding is 97 miles.

Now we need to find the total time that she needs to arrive at the wedding, so we can estimate at which hour she needs to start the travel.

The first 20 miles are driven att 30 miles per hour.

Then:

distance = 20mi

speed = 30mi/h

30mi/h = 20mi/T

T = 20mi/(30mi/h) = 0.67 hours.

The next 12 miles are driven at 45 mi/h

then:

45mi/h = 12mi/T

T = (12mi/(45mi/h)) = 0.27 hours

And the remainder distance is traveled at 65 mi/h

First, at this point she did travel 20mi + 12mi = 32mi

And we know that the total distance was 97mi, then the remaining distance is:

97mi - 32mi = 65mi

Then now she travels 65 miles at the speed of 65mi/h

then:

65mi/h = 65mi/(T)

T = (65mi)/(65mi/h) = 1 hour

Then the total time needed for the travel is:

Time = 0.67 hours + 0.27 hours + 1 hour = 1.94 hours.

knowing that 1 hour = 60 min

0.94 hours = 0.94*(60 min) = 56.4 min

time = 1 hour and 56.4 min

Meaning that she needs to leave her house around two hours before 3:00

So she would need to leave her house at around 1:03

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2 years ago

Name the relationship of these angles

Julli [10]

1) linear pair
2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical

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2 years ago