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jonny [76]
3 years ago
13

Solve the system using elimination y=-3x+6 y=x^2-4

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0
Mutiply first equation by -1 and add to 2nd

-y=3x-6
<u>y=x^2-4 +</u>
0=x^2+3x-10
factor like any equation
what 2 numbers multiply to -10 and add to 3
-2 and 5
0=(x-2)(x+5)
set to zero
x-2=0
x=2

x+5=0
x=-5
solve for y in each case

for x=2
y=2^2-4
y=4-4
y=0
(2,0) is a point

for x=-5
y=(-5)^2-4
y=25-4
y=21
(-5,21) is another



the solutions are
(2,0) and
(-5,21)
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Answer:

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Step-by-step explanation:

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3 years ago
If an average orange weighs 75 g, how many oranges would weigh 4.5 kg?​
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Answer: 60 oranges

Step-by-step explanation:

<u>Given information</u>

Weight = 75 g / orange

Total = 4.5 kg

<u>Given formula</u>

Total = Number of oranges × Average weight

<u>Convert Kilogram unit to Gram</u>

1 kg = 1000 g

4.5 kg = 4.5 × 1000 = 4500 g

<u>Substitute values into the given formula</u>

Total = Number of oranges × Average weight

Number of oranges = Total / Average weight

Number of oranges = 4500 / 75

<u>Simplify by division</u>

\Large\boxed{Number~of~oranges~=~60}

Hope this helps!! :)

Please let me know if you have any questions

5 0
2 years ago
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Answer:

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Step-by-step explanation:

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15 - 15 + 0.1x = 60 - 15

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