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Arturiano [62]
3 years ago
14

A friut stand sells watermelons during the summer. The revenue for selling x watermelons is given by f(x)=2.5x. The team's profi

t is $25 more than 60% of the revenue for selling x watermelons. Write a funcction g to model the profit. Then find the profit for selling 44 watermelons.
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:

$91

Step-by-step explanation:

f(x) = 2.5 x

$25 more would + $25 to the function

60% = .6

Revenue is f(x) = 2.5x  which we have to multiply by the .6

g(x) = $25 + .6 (2.5 x)

If we have 44 watermelons then we plug in 44 for x

x = 44

g(x) = $25 + .6 (2.5*44)

g(x) = $25 + .6 (110)

g(x) = 25 + 66

g(x) = $91

The profit is $91

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Subtract 2 from 10

-6x+5y+10-2

-6x+5y+8

6 0
3 years ago
Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0
Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: x^4+9x^2-4x^2-36

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: x^2(x^2+9)-4(x^2+9)

Now you can rewrite this as (x^2-4)(x^2+9) , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is a^2-b^2=(a+b)(a-b) . Applying that here, we have (x+2)(x-2)(x^2+9) . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 2x^2+10x-x-5

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 2x(x+5)-1(x+5)

Now you can rewrite the equation as (2x-1)(x+5) . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is (x+2)(x-2)(x^2+9)(2x-1)(x+5)=0</u></h3>
5 0
3 years ago
Pls help and remember to include the paranthesis
nydimaria [60]
I did this to get 47.5 as the answer not 47 im not sure why but i did (61-7+7×1/2)+17 using the PEMDAS please excuse my dear aunt sally
parenthesis exponents multiply divide add subtract
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3 years ago
Which of the following is a quadratic function?
Gala2k [10]

Answer:

A

Step-by-step explanation:

A

when multiplied out

the highest exponent of x is 2

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7 0
3 years ago
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X + y = so please help me out
sladkih [1.3K]

Answer: x + y = z

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Lets say if x 5 and y is 10 then z would equal 15.

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3 0
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