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viva [34]
3 years ago
6

What

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
I assume you want the equation to be solved, so this is a quadratic simultaneous equation.

y = x^2-x-3 ——— (1)
y = -3x+5 ——— (2)

Sub (1) into (2)
(This is the first three steps provided)

x^2-x-3 = -3x+5
0 = x^2+2x-8
0 = (x-2)(x+4) ——— (3)

Solve for x in (3):

x-2 = 0
x = 2

x+4 = 0
x = -4

Sub x into (2)

y = -3(2) + 5
y = -1

y = -3(-4) + 5
y = 17

Hence the solution sets are:

x=2, y=-1
x=-4, y=17
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Can anyone help me on this problem? Please it doesn’t make sense to me...
Sav [38]

Answer:

6

Step-by-step explanation:

Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:

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Multiplying by n(n+24) gives ...

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(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic

The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.

The woman bought 6 items.

_____

Check

When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.

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Let x = the unknown number to get x = 6

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3 years ago
Car park algebra question
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You did south, north, correctly

but last one

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so

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3x>96
divide both sides by 3
x>32
it cannot be equal to 32 so
the minimum value is 33 spaces in south car park
5 0
3 years ago
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