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BARSIC [14]
3 years ago
8

Graph the function. y = -x + x2

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

This is a quadratic whose graph will be the shape of a U.

when x = 0 y = 0 so it will pass through the origin ( the point (0,0).

Plot a few more points - say when x = 1 and x = -1 . Also when x = 3 and x = 3

For example when x = 1 y will be -1 - 1^2 = 0 giving the point (1, 0)

Note the minimum point will be (0.5, -0.25)

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Enrique left the study group traveling 20 mph. Then, 2 hours later, Tevin left traveling the same direction at 28 mph. How long
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Answer:

After 7 hours Tevin will catch Enrique

Step-by-step explanation:

We have given speed of Enrique is 20 mph

Tevin left traveling after 2 hours of Enrique

Speed of Tevin  is 28 mph

When Tevin catches  Enrique will cover same distance

Let  Enrique is traveling for t hours

Then Tevin will travel for t-2 hours

We know that distance = speed × time

So 20\times t=28\times (t-2)

20t=28t-56

8t=56

t = 7 hours

So after 7 hours Tevin will catch Enrique

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5 0
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1. A family eats at a restaurant. The bill is $42. They have a coupon that gives them 15% off
Ludmilka [50]
<h2>a.</h2><h3>Solution:</h3>

42 - 42 \times 15\%

=42 -  42 \times  \frac{15}{100}

=42 -  21 \times  \frac{15}{50}

=42 -   \frac{315}{50}

= 42 - 6 \:  \frac{15}{50}

= 41 \:  \frac{50}{50}  - 6 \:  \frac{15}{50}

= 35 \:  \frac{35}{50}

= 35.70

<h3>Answer:</h3>

<u>T</u><u>h</u><u>e</u><u> </u><u>f</u><u>a</u><u>m</u><u>i</u><u>l</u><u>y</u><u> </u><u>d</u><u>i</u><u>d</u><u> </u><u>s</u><u>p</u><u>e</u><u>n</u><u>d</u><u> </u><u>$</u><u>3</u><u>5</u><u>.</u><u>7</u><u>0</u><u> </u><u>o</u><u>n</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>m</u><u>e</u><u>a</u><u>l</u><u> </u><u>a</u><u>f</u><u>t</u><u>e</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>c</u><u>o</u><u>u</u><u>pon</u>

<h2>b.</h2><h3>Solution:</h3>

35.70 + 42 \times 20\%

= 35.70 + 42 \times 0.2

= 35.70 + 8.4

= 44.10

<h3>Answer:</h3>

<u>T</u><u>h</u><u>e</u><u> </u><u>f</u><u>a</u><u>m</u><u>i</u><u>l</u><u>y</u><u> </u><u>d</u><u>i</u><u>d</u><u> </u><u>s</u><u>p</u><u>e</u><u>n</u><u>d</u><u> </u><u>$</u><u>4</u><u>4</u><u>.</u><u>1</u><u>0</u><u> </u><u>o</u><u>n</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>m</u><u>e</u><u>a</u><u>l</u><u> </u><u>i</u><u>n</u><u> </u><u>t</u><u>o</u><u>t</u><u>a</u><u>l</u><u>.</u>

#CarryOnLearning

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35/60 this is my answer.
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