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Nookie1986 [14]
3 years ago
5

Which statement about this system of equations is true? y=2/3x y=2/3x+3

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
8 0

Answer:

1. The system has no solution

Step-by-step explanation:

No solution can only be possible when two lines are parallel to one another, thus never intersect and hence have no solution. In order to identify a two parallel lines, the slope of each must be equal to one another. Let's take a look at our equations:

y=2/3x,                                                                          

y=2/3x+3

Here 2/3 acts as the slope provided it is a "coefficient" of x. This means that the system has no solution provided the similar slopes.

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Answer: A quadratic graph can have two x-intercepts

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10. A cube has faces numbered 1 to 6. If you roll this cube 4 times, how many different outcomes are possible?
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Answer: If we throw 4 cubes, there are 1296 different outcomes are possible.

Step-by-step explanation:

Given : A cube has faces numbered 1 to 6.

So the number of outcomes for throwing one die = 6

If we throw 4 cubes , then

According to the Fundamental counting principle,

The total number of different outcomes are possible =  (\text{Number of outcomes for throwing one die})^4

Therefore , The total number of different outcomes are possible =6^4=1296

Hence, there are 1296 different outcomes are possible.

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4 years ago
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4 0
3 years ago
M(d)=-0.123x^2+148.83x-21.07<br> When will it reach maximum height of 45000 feet
Setler [38]

Answer: time to reach maximum height = 605

Step-by-step explanation:

The expression that relates height with time is

M(d)=-0.123x^2+148.83x-21.07

Where time = x

d = height

The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.

To find x,

x = -b/2a

Where a= 0.123

b = 148.83

x = - 148.83 / -2 × -0.123

x = -148.83 / -0.246

= 605

Substituting x = 605 in the equation,

M(d)=-0.123x^2+148.83x-21.07

d = -0.123 × 605^2 + 148.83×605

= - 45021.075+ 90042.15

= 45020.4

Approximately 45000 feet

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3 years ago
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Answer:

Step-by-step explanation: this is math not English

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3 years ago
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