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3 years ago

URGENT!! Given the function g(t) shown in the graph below, find the average rate of change in the interval [0,3]

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

Answer:

The average rate of change in the interval [0,3] is 1

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

$\frac{g(t2)-g(t1)}{t2-t1}$

In this problem we have

The interval [t1,t2] is [0,3]

$t1=0$

$t2=3$

$g(t1)=g(0)=1$

$g(t2)=g(3)=4$

Substitute

$\frac{4-1}{3-0}=1$

therefore

The average rate of change in the interval [0,3] is 1

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In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in

Alla [95]

Answer:

The system of equations for the given situation is:

$x+y=54$

$2x+3y=118$

Step-by-step explanation:

Given:

Regular basket is worth = 2 points

Long distance basket is worth =3 points

Total baskets in a game = 54

Total points in total = 118

$x\rightarrow$ represents the number of regular baskets

$y\rightarrow$ represents the number of long distance baskets.

Expression for total baskets can be given by ⇒ $x+y$

Thus first equation representing total baskets in a game is given by:

$x+y=54$

Since a regular basket is worth 2 points

So $x$ regular baskets would be worth $=2x$ points

Since a long distance basket is worth 3 points

So $y$ long distance baskets would be worth $=3y$ points

Expression for total points in a game can be given by ⇒ $2x+3y$

Thus second equation representing total points in a game is given by:

$2x+3y=118$

∴ The system of equations for the given situation is:

$x+y=54$

$2x+3y=118$

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A number that is a whole number but not an integer?

Burka [1]

Answer:

-5 is the answer

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Solve (x + 3 < 5) U (x - 7 > 1).

ale4655 [162]

Answer:

{ x | x < 2 or x > 8}

Step-by-step explanation:

Given the expression

(x + 3 < 5) U (x - 7 > 1).

Solve x+3 < 5

Subtract 3 from both sides

x+3 - 3 < 5-3

x < 2

For x - 7 > 1

Add 7 to both sides

x-7+7 > 1 + 7

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natima [27]

Answer:

Always

Step-by-step explanation:

The definition of a perpendicular line is that it intersects another at a 90 degree angle. Using this, by verticals, the opposite corner angle must also be 90-degrees, and since one side of a line is 180 degrees, 180-90 = 90, which ensure the rest of the angles will be 90 degrees too.

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3 years ago

Read 2 more answers

5. The Jones family orders four pizzas to eat. Each pizza is sliced into four parts. How many pizza slices do they get in total?

morpeh [17]

Answer:

16 slices

Step-by-step explanation:

Given :

Number of pizzas ordered = 4

Number of slices per pizza = 4

If 4 pizzas are each sliced into 4 parts ; the we have :

Pizza 1 = 4 slices

Pizza 2 = 4 slices

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