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galina1969 [7]
3 years ago
5

Find the decay factor from the model y =4520(0.6)square 6

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!
Nookie1986 [14]

Answer:

\large\boxed{y=\dfrac{1}{4}x^2-x-4}

Step-by-step explanation:

The equation of a parabola in vertex form:

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

<em>(h, k)</em><em> - vertex</em>

The focus is

\left(h,\ k+\dfrac{1}{4a}\right)

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using k+\dfrac{1}{4a}

<em>k = -5</em>

-5+\dfrac{1}{4a}=-4        <em>add 5 to both sides</em>

\dfrac{1}{4a}=1           <em>multiply both sides by 4</em>

4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4

\dfrac{1}{a}=4\to a=\dfrac{1}{4}

Substitute

a=\dfrac{1}{4},\ h=2,\ k=-5

to the vertex form of an equation of a parabola:

y=\dfrac{1}{4}(x-2)^2-5

The standard form:

y=ax^2+bx+c

Convert using

(a-b)^2=a^2-2ab+b^2

y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5

<em>use the distributive property: a(b+c)=ab+ac</em>

y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4

3 0
4 years ago
Please help <br>(-35)÷(-5)=?​
erik [133]

Answer: 7

Step-by-step explanation:

negative / negative = positive

-35 / -5 = 7

6 0
3 years ago
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F(x)=4x+1<br> g(x)=−4x−1<br> Write g in terms of f
Assoli18 [71]

Answer:

i think that the answers is -16x + 5

4 0
3 years ago
Hi i need help please
Likurg_2 [28]

Answer:

28

Step-by-step explanation:

16 Ada to eves house

12 Eva to pool

28

7 0
3 years ago
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Which order pair is the solution of the system of equations shown?ITS DUE TONIGHT HELP
kap26 [50]

Answer:

Step-by-step explanation:

-x + 5 = 5x - 6

-6x + 5 = -6

-6x = -11

6x = 11

x = 11/6

-11/6 + 30/6= 19/6

(11/6, 19/6)

answer is C

6 0
3 years ago
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