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Ipatiy [6.2K]
2 years ago
14

What is the axis of symmetry for f(x) = 2x2 − 8x 8? x = −2 x = −3 x = 3 x = 2

Mathematics
2 answers:
Tatiana [17]2 years ago
7 0

<span>The first part of the quadratic formula, x = - b/2a, is the equation of the axis of symmetry, and the x-coordinate of the vertex. </span>

<span>In standard form: - 2x² + 8x - 5 = 0, a = - 2, b = 8, c = - 5 </span>

<span>The axis of symmetry: x = - 8/2(- 2) = - 8/- 4 = 2 </span>

<span>Go back and solve for y to find the y-coordinate of the vertex. </span>

<span>y = - 2(2)² + 8(2) - 5 </span>

<span>y = - 2(4) + 16 - 5 </span>

<span>y = - 8 + 16 - 5 </span>

<span>y = 3 </span>

<span>Vertex is (2, 3)</span>
lys-0071 [83]2 years ago
7 0

The answer i got was x=2

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The difference in unit prices of Jalen's and Tia's juice packs is $0.15

<em><u>Solution:</u></em>

Given that,

<em><u>Jalen bought 24 juice packs for $7.20</u></em>

Unit price means price per juice pack

Unit price is found by dividing 7.20 by 24

\text{Cost per juice pack } = \frac{7.20}{24} = 0.3

Thus unit price of Jalen is $ 0.3

<em><u>Tia bought six juice packs for $2.70</u></em>

Unit price is found by dividing 2.70 by 6

\text{Cost per juice pack } = \frac{2.70}{6} = 0.45

Thus cost per pack of Tia is $ 0.45

<em><u>Difference in the unit prices of Jalen and Tia juice pack</u></em>

Difference = $ 0.45 - $ 0.3

Difference = $ 0.15

Thus the difference in unit prices of Jalen's and Tia's juice packs is $0.15

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2 years ago
Katy is walking toward a bridge. See full question below
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

No c

 as she was initially 300m away from the bridge (distance from bridge=300m)   (time=0) so it was her starting point.

      and after 6 minutes  (time=6min)  she reached the bridge.      (distance from bridge = 0m)

5 0
2 years ago
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By the end of year 8, demarco and tanya would have to pay a final payout of $120,887. $130,900. $143,152. $154,768.
Lubov Fominskaja [6]

If a person invests $50 in a business and gets a percentage increase of 10%, then he would have $55 as his final payout.

<h3>What is an Investment?</h3>

This refers to the financial activity where a person puts money or an asset into a business or venture to gain profit after a period of time.

Hence, we can see that since your question is incomplete as it does not include the initial amount of both Demarco and Tanya, then a final payout cannot be found.

Read more about investments here:

brainly.com/question/25300925

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Find a function where f(0)=2 and f(1)=2
xenn [34]

Answer:

Do you want to be extremely boring?

Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?

f(x) = 2 is a valid solution.

Want something more fun? Why not a parabola? f(x)= ax^2+bx+c.

At this point you have three parameters to play with, and from the fact that f(0)=2 we can already fix one of them, in particular c=2. At this point I would recommend picking an easy value for one of the two, let's say a= 1 (or even a=-1, it will just flip everything upside down) and find out b accordingly:f(1)=2 \rightarrow 1^2+b+2=2 \rightarrow b=-1

Our function becomes

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

Notice that it works even by switching sign in the first two terms: f(x) = -x^2+x+2

Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: f(x) = A cos (kx)

Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need A= 2, and at that point the first condition is guaranteed; using the second to find k we get 2= 2 cos (k1) = cos k = 1 \rightarrow k = 2\pi

f(x) = 2cos(2\pi x)

Or how about a sine wave that oscillates around 2? with a similar reasoning you get

f(x)= 2+sin(2\pi x)

Sky is the limit.

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