Nancy drove 400 miles in three days. She drove 113 on each of the first two days How many miles did she drive on the third day?

Mathematics

1 answer:

Gemiola [76]2 years ago

4 0

113 what on each of the two day. Please clarify

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What is the equation of the function represented by this graph?

gayaneshka [121]

Answer:

$\displaystyle g(x) = -(x + 2)(x - 4)$

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is down, so you insert a negative in front of the expression. Next, locate your x-intercepts [zeros (where the graph insects the x-axis)]. You will see that the graph intersects $\displaystyle [-2, 0]$ and $\displaystyle [4, 0],$ so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, $\displaystyle y = A[x - h]^2 + k,$ that negative in front of $\displaystyle h$ gives you the OPPOCITE outcome, so be careful.

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the sum of the reciprocals of two consecutive even integers is 9/40. this can be represented by the equation shown 1/x + 1/(x+2)

Ivanshal [37]

Answer:

8, 10

Step-by-step explanation:

Multiplying the equation by the product of the denominators, we have ...

40(x+2) +40x = 9x(x+2)

80x +80 = 9x^2 +18x . . . . eliminate parentheses

9x^2 -62x -80 = 0 . . . . . . put in standard form

9x^2 -72x +10x -80 = 0 . . . prepare to factor by grouping

9x(x -8) +10(x -8) = 0 . . . . . factor pairs of terms

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Solutions are ...

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Comment on the attachment

I find a graphing calculator to be a nice tool for solving these. It finds zeros easily, so writing the equation so it equals zero is a useful first step.