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artcher [175]
3 years ago
12

Given that f(x)=x2+2x +3 and g(x)=X+4/3, solve for f(g(x)) when X=2

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
G(2) =  2 + 4/3 =  10/3

f(g(x)) = f(g(2)) =   (10/3)^2 + 20/3 + 3 =   187/9  =  20 7/9 answer
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for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac
zloy xaker [14]
Total tickets sold  = 800
Total revenue = $3775

Ticket costs:
$3  per child,
$8  per adult,
$5 per senior citizen.

Of those who bought tickets, let
x =  number of children 
y = number of adults
z = senior citizens

Therefore
x + y + z = 800                   (1)
3x + 8y + 5z = 3775           (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y                                (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y                        (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775                 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225  adults,
125 senior citizens.
6 0
3 years ago
Which graph represents the function f(x)= -2^x - 1
MAXImum [283]

Answer:

the first graph does////=//

4 0
3 years ago
The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.
djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

where,

r_1 = radius of sphere = \frac{Diamtere}{2}=\frac{8cm}{2}=4cm

r_2 = radius of cylindrical wire = \frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

\frac{4}{3}\times r_1^3=r_2^2h

\frac{4}{3}\times (4)^3=(0.1)^2h

h=8533.33cm\approx 8533cm

Therefore, the length of the wire is, 8533 cm

6 0
3 years ago
The price of an item has dropped to $46 today yesterday was $115 find the percent decrease
Svetach [21]
Using cross multiply and divide the equation looks like so 46/115 next to x/100 to get an answer of 40%
6 0
3 years ago
Read 2 more answers
Simplify: (10*5+6)(13+2)+19
lianna [129]
The answer would be 859.  

<span><span><span><span><span><span>(10)</span><span>(5)</span></span>+6</span>)</span><span>(<span>13+2</span>)</span></span>+19
</span><span>=<span><span><span>(<span>50+6</span>)</span><span>(<span>13+2</span>)</span></span>+19
</span></span><span>=<span><span>56<span>(<span>13+2</span>)</span></span>+19
</span></span><span>=<span><span><span>(56)</span><span>(15)</span></span>+19
</span></span><span>=<span>840+19
</span></span><span>=<span>859

Hope this helps!!

</span></span>
7 0
3 years ago
Read 2 more answers
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