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aksik [14]
2 years ago
13

The graph shows the functions f(x), p(x), and g(x):

Mathematics
2 answers:
AleksandrR [38]2 years ago
7 0
Um yes lol beat me to it, but yes ^they^ are correct
Savatey [412]2 years ago
3 0
Part A:
The solution of the equations p(x) and g(x) is the intersection of the two lines.
p(x): y=3x-15..................(1)
g(x): y=-2x+5..................(2)

By comparison, 3x-15=-2x+5 => 5x=20 => x=4 
Substitute x=4 in (1), y=3(4)-15=12-15=-3
=>  Solution: (4,-3)
(see second attached image)

Part B: write any two solutions for g(x).
We cannot write a solution to a function unless there is an equation.
ASSUMING what is meant is to write two points that lie on the line g(x), then we can assume any two values of x, say x1, x2, and evaluate y1=g(x1) and y2=g(x2).
If x1=0, then g(x1)=g(0)=-2(0)+5=5 => point is (0,5)
If x2=1, then g(x2)=g(1)=-2(1)+5=-2+5=3 => point is (1,3) .... and so on.

Part C: what is the solution to the equation g(x)=f(x)
g(x)=f(x) => -2x+5=4+1.5^x => 1.5^x+2x-1=0 .......................(3)
There is no analytic solution to solve this kind of problems.  However, we can always solve it graphically and check the answer algebraically.
As we can see from the third graph, the solution is (0,5).
Check: 1.5^(0)+2(0)-1 = 1+0-1 = 0    => solution (0,5) is good.
Answer: solution is (0,5)

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coldgirl [10]

The absolute and relative cost difference in the restaurant and copycat meal are :

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  • Restaurant meal cost 1.88 times as much as copycat meal

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Cost of copycat version = $4.75

1.)

Difference in cost of meal for both version :

Cost of restaurant meal - Cost of copycat version

($8.95 - $4.75) = $4.20.

The copycat meal is $4.20 less than the restaurant meal

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I need help please !!!!!!!!
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30-60-90 triangles have special side proportions that would be very beneficial to memorize because I guarantee you will use it in the future.

Please see the attached image.

The answer is 7*√3=7√3

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