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galben [10]
4 years ago
9

The minimum value of f(x) = x3 – 3x2 – 9x + 2 on the interval [–4, 0] is

Mathematics
1 answer:
garri49 [273]4 years ago
5 0

Answer:

-74

Step-by-step explanation:

Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.

Substitute x = -4 into the equation.

f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2

f(-4) = -64 -3(16) +36 + 2

f(-4) = -64 - 48 + 36 + 2

f(-4) = -74

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A zoo has categorized its visitors into three categories: member, school, and general. The member category refers to visitors wh
HACTEHA [7]
The answer is B
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5 0
3 years ago
The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

6 0
4 years ago
Write Money as an amount 74/100
otez555 [7]
 The user below me is correct.
8 0
3 years ago
Read 2 more answers
Under which condition does a country with a small GDP have a large per capita income?
jeyben [28]
The concept here is that if a country has a small population, then the per capita income would be large. by dividing the total income by the total population giving you the per capita income. 

-hope this helps
3 0
3 years ago
Read 2 more answers
A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is
34kurt

Answer:

<u>22.67 ft</u> is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be x.

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, x is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

\frac{68}{54} =\frac{x}{18}

<em>By cross multiplying we get:</em>

<em />1224=54x<em />

<em>Dividing both sides by 54 we get:</em>

22.67=x

x=22.67\ ft.

Therefore, the height of the tree is 22.67 ft.

6 0
4 years ago
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