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tensa zangetsu [6.8K]
3 years ago
12

Solve –3x^2 – 4x – 4 = 0

Mathematics
2 answers:
vredina [299]3 years ago
8 0
<span> 3x^2 – 4x – 4 = 0

</span>

<span>multiply the first coefficient by the last coefficient: </span>

<span>3 x -4= -12 </span>

<span>Now think, what adds to the 2nd coefficient (-4) and multiplies to -12? </span>

<span>-6 and 2 </span>

<span>rewrite your equation: </span>

<span>3x^2 - 6x + 2x - 4 <==== this is essentially the same equation </span>


<span>now split it... </span>

<span>3x^2 - 6x </span>

<span>AND </span>

<span>2x -4 </span>

<span>factor each one so that both share a common factor: </span>

<span>3x(x-2) </span>

<span>AND </span>

<span>2(x-2) </span>

<span>Now combine them: </span>

<span>(3x+2)(x-2) </span>

raketka [301]3 years ago
4 0
-3x^2-6x+2x-4 =-3x (x-2)+2 (x-2) =(-3x+2)(x-2) -3x+2=0 X=2/3 X-2=0 X=2 Hope it helps! !!!!
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What does bounded mean
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Answer:

a mathematical object that possesses a bound is bounded

Step-by-step explanation:

a lower bound is a value that is less than or equal to every element of set of data. a upper bound is a value that is greater than or equal to every element of set of data.

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3 years ago
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A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.
andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

7 0
3 years ago
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
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6 0
2 years ago
Oof this is probably really simple to most of y'all but I'm out of it.
Lelechka [254]

Answers:

  • angle1 = 156 degrees
  • angle2 = 24 degrees

=======================================================

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

5x = 195

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x = 39

We use that x value to find each missing angle

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Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

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2 years ago
one hose can fill a goldfish pond in 14 minutes, and the two hoses can fill the same pond in 10 minutes, find how long it takes
likoan [24]

Answer:

35

Step-by-step explanation:

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Solving this ^^ would equal t=35.

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