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3 years ago

7

Alonzo and Miguel scored a total of 54 points in a basketball game. Miguel scored 4 more points than Alonzo. How would I graph t

his as a system of equations??

1 answer:

Liono4ka [1.6K]3 years ago

4 0

A + m = 54, m = a + 4 and, a + m = 54, - a + m = 4,

Combine the equations: 2m = 58

Now solve: 2m = 58, 2m/2 = 58/2, m = 29, therefore a = 24

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The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon

Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by $x=3.24t-4.20t^2+1.07t^3$ where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(1)=3.24(1)-4.20(1)^2+1.07(1)^3$

$x(1)=3.24-4.20+1.07$

$x(1)=0.11$

b) At t= 2 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(2)=3.24(2)-4.20(2)^2+1.07(2)^3$

$x(2)=6.48-16.8+8.56$

$x(2)=-1.76$

c) At t= 3 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(3)=3.24(3)-4.20(3)^2+1.07(3)^3$

$x(3)=9.72-37.8+28.89$

$x(3)=0.81$

d) At t= 4 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(4)=3.24(4)-4.20(4)^2+1.07(4)^3$

$x(4)=12.96-67.2+68.48$

$x(4)=14.24$

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

$\triangle x=x(4)-x(0)$

$\triangle x=14.24-0$

$\triangle x=14.24$

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity is given by,

$\triangle x=x(4)-x(2)$

$\triangle x=14.24-(-1.76)$

$\triangle x=14.24+1.76$

$\triangle x=16$

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3 years ago

Drag the tiles to the table. Each tile can be used more than once. Determine the most likely action that an investor will take f

aev [14]

Considering the market options that an investor takes, Each scenario listed is attached to the right action that is shown on the tiles:

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<h3>Meaning of an Investor</h3>

An investor can be defined as a name given to an individual that takes every opportunity opened to him to make a profit and by so doing doesn't use his money but puts it into a venture that will yield more.

In conclusion, the list above are the required actions for each scenario that is encountered by an investor

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2 years ago

Evil lives to go swimming at 4:05 and returns at 4:57 how long has she been gone?

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She has been gone 52 min.

57 - 5 = 52

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3 years ago

Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft above the ground and the bas

BigorU [14]

By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.

<h3>What is a Pythagoras theorem?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Jennifer needs to use a ladder to clean a second-floor window on a building.

If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.

Then the length of the ladder will be

H² = 13² + 4²

H² = 169 + 16

H² = 185

H = 13.6 ft

More about the Pythagoras theorem link is given below.

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2 years ago

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3 years ago