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3 years ago

The question is in the picture.

Mathematics

1 answer:

mafiozo [28]3 years ago

7 0

It’s -1 plug in -7.

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Following the lead of the National Wildlife Federation, the Department of the Interior of a South American country began to reco

chubhunter [2.5K]

Answer:

After 2009 the quality of the forests in this country improving.

Step-by-step explanation:

Consider the provided function.

$f(t) = \frac{1}{3}t^3-\frac{5}{2}t^2 + 80$

$f'(t) = t^2-5t$

Substitute f'(t)=0.

$t^2-5t=0$

$t(t-5)=0$

$t=0\ or\ t=5$

It is given that (0 ≤ t ≤ 10)

The test interval are (0,5) and (5,10)

For (0 < t < 5) the value of $f'(t)$

For (5 < t < 10) the value of $f'(t) >0$

Hence, the function is increasing from (5,10).

t = 0 corresponds to 2004.

Therefore, after 2009 the quality of the forests in this country improving.

7 0

3 years ago

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

damaskus [11]

Answer:

f(x)= (x+8)^2 + 200

Step-by-step explanation:

-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).

H is the x coordinate and K is the y coordinate

6 0

4 years ago

If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)

Luda [366]

The value of (f-g)(144) is 0

Step-by-step explanation:

We are given:

$f(x)=\sqrt{x}+12\,\,and\,\,\\ g(x)=2\sqrt{x}$

We need to find value of (f-g)(144)

We will put x=144 for both f(x) and g(x)

$(f-g)(144)=f(144)-g(144)\\=\sqrt{144}+12-(2\sqrt{12})\\=12+12-(2(12)\\=24-24\\=0$

So, the value of (f-g)(144) is 0

Keywords: Composite Functions

Learn more about Composite Functions at:

#learnwithBrainly

4 0

4 years ago

Read 2 more answers

The endpoints of GH are G(3,3) and H(-7,7). Find the coordinates of the midpoint M.

sesenic [268]

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

$midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2}$ )

$midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2}$ )

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

Hope it helps....

3 0

3 years ago

Keisha can jog 2 miles in 24 minutes. At the same rate , how many miles can she jog in 60 minute

asambeis [7]

In 24 minutes Keisha jogs 2 miles . So in 60 minutes she will jog (2/24) x 60 =5 miles . In 12 minutes she jogs 1 mile . so in 60 minutes it will be 5 miles.

5 0

3 years ago