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creativ13 [48]
3 years ago
5

The linear graph shows the possible combinations of cakes and pies a club must sell to meet their fundraising goal. What is the

domain of the graph? A) {x: 0 < x < 40} B) {x: 0 ≤ x ≤ 40} C) {x: 0 < x < 20} D) {x: 0 ≤ x ≤ 20}
Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

\{x: 0 \le x \le 40 \}

Step-by-step explanation:

Given

See attachment for graph

Required

The domain of the graph

To do this, we simply write out the range of value of the x-coordinate.

From the attached graph, the x values are:

x = [0,40] i.e. from 0 to 40 (both inclusive)

So, the domain is:

\{x: 0 \le x \le 40 \}

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Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y
miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

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2 years ago
Round the decimal to the nearest hundredths 983.625
r-ruslan [8.4K]
983.625
9 = hundreds
8 = tens
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5 = thousandths
You want to round to the nearest hundredths
Look at the number on the right, if it's bigger than 5, round up, if it's 4 or lower, round down.
In this case, the number to the right is a 5, so you round the 2 (hundredths) up one so:
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5 0
3 years ago
I need the answer pls
Oduvanchick [21]

Answer:

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Step-by-step explanation:

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3 years ago
What is the simplest form of of 4/12
VikaD [51]
You have to divide both the numerator and the denominator and you get 1/3 and thats the simplest form
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Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is
Volgvan

Answer:

(x,y)=(0,7.333)

Step-by-step explanation:

We are required to:

Maximize p = x + 2y subject to

  • x + 3y ≤ 22
  • 2x + y ≤ 14
  • x ≥ 0, y ≥ 0.

The graph of the lines are plotted and attached below.

From the graph, the vertices of the feasible region are:

  • (0,7.333)
  • (4,6)
  • (0,0)
  • (7,0)

At (0,7.333), p=0+2(7.333)=14.666

At (4,6), p=4+2(6)=4+12=16

At (0,0), p=0

At (7,0), p=7+2(0)=7

Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).

At x=0 and y=7.333, the function p is maximized.

7 0
3 years ago
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