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3 years ago

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

nadya68 [22]

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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3 years ago

Which of the following expression is equivalent to a+(-b)

Leni [432]

Answer:

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3 years ago

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>

The family did spend $35.70 on the meal after the coupon

<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>

The family did spend $44.10 on the meal in total.

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