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Inessa05 [86]
3 years ago
7

This graph represents −3x+y=−4. Which ordered pair is in the solution set of −3x+y≥−4?

Mathematics
1 answer:
ira [324]3 years ago
4 0

Answer:   When an inequality shows a multiple of -4 = -8 or -16 then we know it is a parallel line and therefore could be a straight line continuation  - we see -3(1) -(5) = -8  and -3(5) -(1) = -16  therefore (1  -5) and (5  -1) are both ordered pairs

-3 (2) + 2 = -4   shows 2 and  2 are an ordered pair of system    -3 (0) -4 = -4   shows 0 and -4 is an ordered pair of the system

Step-by-step explanation:

-3x + y = - 4   when we +3x  both sides we get       y = 3x - 4    so when y intercept starts in -4 we an assume if x is positive and as x  is top heavy and not equal to 1 we have a fraction  x = (y + 4) / 3   and the only thing we hanged to find this fraction value for x was to eliminate 3 and separate x through dividing by x   to see other coordinates  see attachment for ordered pairs by seeing each coordinate on the graph

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Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

0=-8(2 t-4)(t+1)

t=-1,2

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

h=-8(2 t-4)(t+1),

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

h=-8(2 t-4)(t+1)

\Rightarrow 0=-8(2 t-4)(t+1)

Solve the equation using the Zero Product Property.

2t-4=0\Rightarrow t=\dfrac{4}{2}=2

t+1=0\Rightarrow t=-1

So, t=-1,2

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3 years ago
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Ivenika [448]

Answer:

a2=12 (the second term of the sequence is 12)

Step-by-step explanation:

a5=324

If the term to term rule is multiply by any number, we deal with geometrical sequence

The formula you should use is an= a1*r^(n-1)  where n is the number of the term which we know. In our case we know

a5, so use 5 instead of n

Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)

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Return to the formula an= a1*r^n-1

Now search for the second term using 2 instead of n in the formula

a2= a1*r^1

a2=a1*r, a1=4, r=3

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Answer:

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Step-by-step explanation:

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