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goldenfox [79]
2 years ago
11

Evaluate the following function from this rule:

Mathematics
1 answer:
klasskru [66]2 years ago
7 0

Answer:

f(5) = 20

f(-4) = 2

Step-by-step explanation:

I assume the equation is f(x) = 2x + 10  (Not sure why the "{" is there.)

f(5) = 2*5+10

f(5) = 20

f(-4) = 2*(-4) + 10

f(-4) = 2

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Given the graph, find an equation for the parabola.
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Answer:

\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \  }

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

y=a(x-h)^2+k

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus  is (3,2) so we can say.

2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}

So an equation for the parabola is.

\large \boxed{\sf y=\dfrac{1}{16}(a-3)^2-2 }

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
3 years ago
Fifteen over eight plus two over five plus negative seven over eight
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4 0
2 years ago
How do you write r2/3 t1/3 in radical form?
amid [387]

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4 0
3 years ago
Write 0.222222... as a simplified fraction.<br> How do you do it
Dvinal [7]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Last year 762 students voted in the student council election at San Bruno Middle School this year 721 students voted to the near
Soloha48 [4]

Answer:

Percent change = 5.4%

Step-by-step explanation:

Given:

Number of students voted last year = 762

Number of students voted this year = 721

Change in the number of students who voted from last year to this year is given by the difference of their number. This gives,

Change in the number of students that voted = 762 - 721 = 41

Now, percentage change in the number of students that voted is given as:

\textrm{Pecent change}=\frac{\textrm{Change in number}}{\textrm{Number last year}}\times 100\\\\\textrm{Pecent change}=\frac{41}{762}\times 100\\\\\textrm{Pecent change}=\frac{4100}{762}=5.38\%\approx 5.4\%

Therefore, the percent change in the number of students that voted is 5.4%.

5 0
3 years ago
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