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Sedaia [141]
2 years ago
13

Solve the system of equations y=x^2-3x+4 x+y=4 show all work please!

Mathematics
1 answer:
Debora [2.8K]2 years ago
6 0

Answer:

(0,4)

(2,2)

Step-by-step explanation:

y=x^2-3x+4

x+y=4

the second one can be rewritten as y=4-x

so the system becomes

y=x^2-3x+4

y=4-x

therefore 4-x = x^2-3x+4

that is x^2-2x=0

we can write it as x(x-2)=0 a product is = 0 when one of its factors = 0

so the solutions for x are: x=0 and x-2= 0 that means x=2

to get y you simply use 0 and 2 as value of x for any of the two equations

and you get y=4 and y=2 respectively

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A water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 1/4 full.
Aloiza [94]

Answer:

<em>The container can hold 280 liters of water.</em>

Step-by-step explanation:

<u>Proportions</u>

The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.

If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.

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2 years ago
A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
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Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

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