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2 years ago

8

Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both pizza and tacos w

ere served today . In how many school days will pizza and tacos be served on the same day again?

2 answers:

snow_tiger [21]2 years ago

7 0

Answer:

After 12 days pizza and tacos will be served on the same day.

Step-by-step explanation:

Since pizza is served in the school cafeteria every fourth school day.

And on every 3rd school day Tacos are being served.

If both are served today then we have to find the number of days after which both will be served on the same day again.

To solve these kind of questions we should take the LCM of both the digits.

LCM of 4 and 3 = 4×3 = 12

Therefore, after 12 days both will be served on the same day.

KIM [24]2 years ago

4 0

Answer: secend day

Step-by-step explanation:

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The y-intercept of a function is the point where the graph crosses the $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
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<u>(a) The factors</u>

First, we write out the points where the function cross the x-axis.

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<u>(b) The y-intercept</u>

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In (a), we have:

$\mathbf{x -10 = 0}$

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$\mathbf{x +9 = 0}$

Multiply the above equations

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$\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }$

Expand

$\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }$

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Expand

$\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }$

Collect like terms

$\mathbf{x^3 + 12x^2 - 10x^2+ 27x - 220x - 270 = 0 }$

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Replace 0 with y

$\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

Hence, the standard form is: $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

Read more about graphs and functions at:

brainly.com/question/18806107

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