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romanna [79]
3 years ago
6

The relationship between the number of days a public radio station spends fundraising per year and the number of dollars it rece

ives in donations during that year can be modeled by the equation y = 8000x + 98,000, where x is the number of days fundraising and y is the number of dollars donated. How much does 7 days of fundraising add to the amount donated?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0
56000
Explanation:
Using Y= and graphing you see after 7 days it will be 154000 but you have to subtract the 98000 so therefore your answer is 56000
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If f(x)= 3x squares +1 and g(x) =1-x what is the value of (f-g)(2)
ZanzabumX [31]

Answer: (f-g)(2)=14

Step-by-step explanation:

(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.

Method 1

f(2)=3(2)²+1                                [exponent]

f(2)=3(4)+1                                  [multiply]

f(2)=12+1                                     [add]

f(2)=13

g(2)=1-(2)                                    [subtract]

g(2)=-1                  

(f-g)(2)=13-(-1)                            [subtract f(2) and g(2)]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Method 2

(f-g)(x)=3x²+1-(1-x)                     [distribute -1]

(f-g)(x)=3x²+1-1+x                      [combine like terms]

(f-g)(x)=3x²+x

(f-g)(2)=3(2)²+2                         [plug in x=2, exponent]

(f-g)(2)=3(4)+2                           [multiply]

(f-g)(2)=12+2                             [add]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Now, we know that (f-g)(2)=14. We confirmed this with both methods.

8 0
4 years ago
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Arte-miy333 [17]
7.91 = 8 21.9 = 22

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7 0
3 years ago
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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

If we have: y = 2x-7

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Thus, the equation is of the form:

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Answer:

y = - \frac {1} {2} x + 2

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Step-by-step explanation:

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