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3 years ago

What was done to the quadratic parent function F(x) = x2 to get the

Mathematics

1 answer:

zubka84 [21]3 years ago

5 0

Answer:

Option C.

Step-by-step explanation:

If k<0, the function g(x) = f(x) + k represents the function f(x) shifted k units downwards.

In this case, given that k=-3 (k<0). The graph was shifted 3 units down. Therefore, the correct option is Option C.

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A lake polluted by bacteria is treated with an antibacterial chemical. Aftertdays, thenumber N of bacteria per milliliter of wat

jeyben [28]

Answer:

N(1)=50 is a minimum

N(15)=4391.7 is a maximum

Step-by-step explanation:

<u>Extrema values of functions </u>

If the first and second derivative of a function f exists, then f'(a)=0 will produce values for a called critical points. If a is a critical point and f''(a) is negative, then x=a is a local maximum, if f''(a) is positive, then x=a is a local minimum.

We are given a function (corrected)

$N(t) = 20(t^2-lnt^2)+ 30$

$N(t) = 20(t^2-2lnt)+ 30$

(a)

First, we take its derivative

$N'(t) = 20(2t-\frac{2}{t})$

Solve N'(t)=0

$20(2t-\frac{2}{t})=0$

Simplifying

$2t^2-2=0$

Solving for t

$t=1\ ,t=-1$

Only t=1 belongs to the valid interval $1\leqslant t\leqslant 15$

Taking the second derivative

$N''(t) = 20(2+\frac{2}{t^2})$

Which is always positive, so t=1 is a minimum

(b)

$N(1)=20(1^2-2ln1)+ 30$

N(1)=50 is a minimum

(c) Since no local maximum can be found, we test for the endpoints. t=1 was already determined as a minimum, we take t=15

(d)

$N(15)=20(15^2-2ln15)+ 30$

N(15)=4391.7 is a maximum

7 0

3 years ago

A fish is 12 feet below the sea level. A bird is 28 feet above sea level. If the bird is directly

MrMuchimi

Answer:

they are 40 feet apart!

Step-by-step explanation:

hopes this helps!!>_<

7 0

3 years ago

Read 2 more answers

X ≤ 4 and X>-2<br> Interval Notation

Yuri [45]

$\color{pink} \rule{500pt}{100000000pt}$

6 0

2 years ago

5. -4n + 7 + 2n =1

Minchanka [31]

5.
-4n+ 7+ 2n= 1
⇒ (-4n+ 2n)+ 7= 1 (combine like terms)
⇒ -2n= 1-7
⇒ -2n= -6
⇒ n= -6/(-2)
⇒ n= 3

Final answer: B. 3~

6. 4(y-4)= 8
⇒ y-4= 8/4
⇒ y-4= 2
⇒ y= 2+4
⇒ y= 6

Final answer: D. 6~

3 0

3 years ago

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The Eastern Point Lighthouse in Gloucester, Massachusetts was established in 1832 to help fishermen into the harbor. It is still

Fynjy0 [20]

Answer is 36

Divide 6 by 1.7 and multiply the answer by 10.2

7 0

3 years ago

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