If those are exponents, then...
3x^3 + 11x^2 + 4x + 1
----------------------------- Cancel out the 11x^2 with the x^2
x^2 + x
3x^3 + 10x^2 + 4x +1
----------------------------- Cancel out the x with the 4x
x
3x^3 + 10x^2 + 3x +1
Answer:
<h2>1/2⁷</h2>
Step-by-step explanation:
1/2 is multiplied by itself 7 times, thus an exponent of 7.
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▹ Answer
<em>y-intercept = -6</em>
▹ Step-by-Step Explanation
The format of slope is:
y = mx + b
The b represents the y-intercept which is, -6.
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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:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(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.
Answer:
x= 19
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