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borishaifa [10]
3 years ago
15

F(x) = 5x^2 + 9x – 4 g(x) = – 8x^2 – 3x – 4 Find (f + g)(x).

Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer:

(f + g)(x) = – 3x^2 + 5x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)

= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

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A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
How do you explain how you convert a decimal?
Troyanec [42]
For example if we have 7/10 we have one 0 in the denominator so we move the decimal spot 1 to the left

So:
7.0 becomes 0.70 or .7

To make a decimal into a fraction:

0.32

Just add two zeros to the right and that means 2 0's will be added in the denominator
so:

0.32
32.0/100 or 32/100

Hope that helps :)
6 0
3 years ago
What is: <br> 8x - 2(4 + 3x)
Angelina_Jolie [31]
8x-2(4+3x) =0\\ 8x-8-6x=0 \\ 2x-8=0 \\ 2x=8 \\ x=4
6 0
3 years ago
Read 2 more answers
I NEED AN ANSWER NOWWWW!!!!!!!!!!!!!
Lunna [17]

9514 1404 393

Answer:

  (c)  The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

The pyramid with the same overall dimensions will obviously have a smaller volume. The ratio is 1/3.

__

The formula for the volume of a rectangular prism is ...

  V = LWH

The formula for the volume of a rectangular pyramid is ...

  V = (1/3)LWH

The pyramid has 1/3 the volume of the prism.

5 0
3 years ago
Read 2 more answers
$12,800 at 12% for 3 years find the total amount ?
HACTEHA [7]

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

5 0
3 years ago
Read 2 more answers
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