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wariber [46]
3 years ago
15

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

Mathematics
2 answers:
elixir [45]3 years ago
8 0
331 = 6x + 7

331 (-7) = 6x + 7 (-7)

324 = 6x

324/6 = 6x/6

x = 54

There are 54 students per bus

hope this helps
Butoxors [25]3 years ago
5 0
<span>54 students travelled in each bus</span>
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Easy question.<br><br> Solve the inequality -5x&lt;40
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\mathsf{-5x < 40}

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Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f
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Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

f(x)=ax^3+bx^2+cx+d

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

y = x^3 - x

Equate y to 0

x^3 - x = 0

Expand

x(x^2 - 1) = 0

Express x^2 - 1 as difference of two squares

x(x - 1)(x +1 ) = 0

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For 2 x intercepts

y = x^3 - x

y  =(x-5)^2)(x+7)

Equate y to 0

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Expand

(x-5)(x-5)(x+7) = 0

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For 1 x intercept

y = x^3

Equate y to 0

x^3 = 0

Take cube roots of both sides

x = 0

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

y = x^2 + x + 17

<em>The above function has no x intercept.</em>

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Equate y to 0

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Expand

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We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

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Step-by-step explanation:

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