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Amanda [17]
2 years ago
15

The vertex of the graph of f(x) = (x - 3| + 6 is located at

Mathematics
1 answer:
leonid [27]2 years ago
5 0

Answer:

The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)

3

and

6

Step-by-step explanation:

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Formula for 4,9,14 19​
alexira [117]

Answer:

a_{n } = 5n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

9 - 4 = 14 - 9 = 19 - 14 = 5

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 5 , then

a_{n} = 4 + 5(n - 1) = 4 + 5n - 5 = 5n - 1

4 0
3 years ago
Read 2 more answers
Le<br> 8. Complete the syllogism.<br> If d=&gt; and e=&gt;f, then
Nikitich [7]
Then d = e by transitive property
8 0
2 years ago
The height, H,of a cylinder is 5 units less than 3 times the radius, R, which expression expresses the height of the cylinder in
Zina [86]
The answer is:  [B]:  " 3r − 5 " .
_______________________________________________________
   
H = 3r <span>− </span>5
_______________________________________________________
3 0
3 years ago
A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. If section C held 300 fewer
White raven [17]

Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

A*$28 + B*$24 + (B/2 + 300)*$20 = $1,139,200

Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

(44,700 - B*(3/2))*$28 + B*$34 + $6,000 = $1,139,200

Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 =  $1,139,200 - $1,252,200  = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A =  44,700 - B*(3/2) =  44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

3 0
2 years ago
Marla filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of ga
romanna [79]

Answer:

23 1/2 miles per gallon

Step-by-step explanation:

We start with dividing 329 miles with 14 gallons because it asks to find the number of miles on each gallon of gas -

          Miles

-----------------------------     =

Each gallon of gas

329 ÷ 14 = 23 1/2 miles per gallon

6 0
2 years ago
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