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dimulka [17.4K]
3 years ago
10

Please help me. This is urgent

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

(2,3)

Explanation:

When asked for the solution of f(x) = h(x), they want to know where the point or points where the two functions are the same. One way you can solve this by setting f(x) and h(x) equal to each other like so:

f(x) = h(x),

x+1/x-1 = (x-2)^2 +3

At this point you'd need to solve for x. However, since you have the graph present before you, you can just look at that to find the points; which is waaaaay easier that solving by the normal way in this particular instance.

Using the graph I can see that they intersect at (2,3). And you can double check that by plugging the numbers in to find that they do indeed match there. So assuming they don't intersect on some other number way off the graph provided [which I guess is possible], (2,3) is your ordered pair.

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A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft d
makkiz [27]

Hi, Siyasi2 ! Let x = the number of hot dogs, y = the number of chips, and z = the number of drinks. Then we know:

 

5x + 4y + 5z = 15.75

x = y + 0.75

z = 2x - 1

 

Let's substitute the 3rd equation into the first one.  

 

5x + 4y + 5(2x - 1) = 15.75

5x + 4y+ 10x - 5 = 15.75

15x + 4y = 20.75

 

Now, let's re-write the 2nd equation as x - y = 0.75

 

We now have a system of two equations with two unknowns.

 

15x + 4y = 20.75

x - y = 0.75

 

To solve this, we can multiply the bottom equation by 4 and add.

 

15x + 4y = 20.75

+ 4(x - y = 0.75)

 

19x = 23.75

or x = 1.25

 

If x = 1.25, then using the one of the equations above, we can solve for y.

x - y = 1.25 - y = 0.75

.50 = y

 

Since z = 2x - 1, then z = 2(1.25) - 1 = 2.5 - 1 = 1.50

 

So, a hot dog is $1.25, chips are 50 cents, and a soft drink is $1.50. Please let me know if you have any questions.

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Which answer is the solution in simplest form
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times both sides by 9
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B is answer
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Step-by-step explanation:

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