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3 years ago

Elliot wrote this expression to describe the total number of games he has left to play this season.

Mathematics

2 answers:

alexandr402 [8]3 years ago

5 0

D.
Elliot does not know how many games he has left.

yKpoI14uk [10]3 years ago

4 0

The answer would be B

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The height (feet) of an object moving vertically is given by s= (-16t^2)+(208t)+(156), where t is in seconds.

OverLord2011 [107]

Answer:

The object's velocity at t = 7 is -16 ft/s

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

Step-by-step explanation:

From the information given, the equation of motion of the object is

$s(t)= -16t^2+208t+156$

For any equation of motion s(t), the instantaneous velocity at time t is given by

$v(t)=\frac{ds}{dt}$

(a) To find the object's velocity at t = 7, you must:

$v(t)=\frac{d}{dt}(-16t^2+208t+156)\\\\v(t)=-\frac{d}{dt}\left(16t^2\right)+\frac{d}{dt}\left(208t\right)+\frac{d}{dt}\left(156\right)\\\\v(t)=-32t+208+0\\\\v(t)=-32t+208$

Next, we evaluate when t = 7

$v(7)=-32(7)+208=-224+208\\\\v(7)=-16$

The object's velocity at t = 7 is -16 ft/s

(b) <em>To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the</em><em> critical points.</em>

To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.

$-32t+208=0\\\\-32t+208-208=0-208\\\\-32t=-208\\\\\frac{-32t}{-32}=\frac{-208}{-32}\\\\t=\frac{13}{2}$

Next, we substitute this value into the equation of motion to find the maximum height

$s(\frac{13}{2})= -16(\frac{13}{2})^2+208(\frac{13}{2})+156\\\\s(\frac{13}{2})=-676+1352+156)=832$

The maximum height is 832 ft and it occurs when $t=\frac{13}{2}$

6 0

4 years ago

Round to the nearest tenth 25.36

Ipatiy [6.2K]

Answer:

25.4

Step-by-step explanation:

8 0

4 years ago

Solve: x - 1 (x - 1)² + ax - a.

borishaifa [10]

Step-by-step explanation:

<h2><u>Given :-</u></h2>

x-1-(x-1)²+ax-a

Factorize the expression ?

<h2><u>Solution :-</u></h2>

Given expression is x-1-(x-1)²+ax-a

It can be written as

(x-1)-(x-1)²+(ax-a)

=> (x-1)-(x-1)(x-1)+a(x-1)

=> (x-1)[1-(x-1)+a]

=> (x-1)(1-x+1+a)

=> (x-1)(2-x+a)

<h2><u>Answer:-</u></h2>

x-1-(x-1)²+ax-a = (x-1)(2-x+a)

Hope this helps!!

4 0

3 years ago

Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (ne

Juli2301 [7.4K]

Answer:

1/4(1 - 3x)

Step-by-step explanation:

Step 1: Write out expression

1/4 - 3/4x

Step 2: Factor out GCF

1/4(1 - 3x)

4 0

4 years ago

Read 2 more answers

The outcome variable (usually Y) in a regression analysis is called the ________.

matrenka [14]

Answer:

Dependent variable

Step-by-step explanation:

The outcome variable (usually Y) in a regression analysis is called the ________.

c) dependent variable

If there are two variables and there is a linear correlation between them we try to find the regression line by using least squares method.

X the variable which is input or which is first found out is called independent variable.

The outcome variable is the dependent variable

Dummy variable is one which takes only values 0 or 1 depending on whether not present or present.

3 0

3 years ago