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makkiz [27]
3 years ago
5

3-4x^2=0 Solve for x

Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0

Answer:

\frac{ \sqrt{3} }{2}  = x

Step-by-step explanation:

3 - 4 {x}^{2}  = 0 \\ 3 = 4 {x}^{2}  \\  \sqrt{3}  = 2x \\ +- \frac{ \sqrt{3} }{2}  = x

•You square root both sides to cancel the x².

•You divide both sides by 2 to leave the x alone

• the answer is in + or -

masha68 [24]3 years ago
5 0

Answer: + or - (square root of 3)/2

Step-by-step explanation:

3-4x^2=0

Add 4x^2 on both sides

3-4x^2+4x^2=0+4x^2

3=4x^2

Divide both sides by 4

4x^2/4 = 3/4

x^2 = 3/4

Since it’s a square x can be a negative number or a positive number.

x = square root (3/4) = (square root of 3)/2

x = + or - (square root of 3)/2

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State all integer values of x in the interval (2,8) that satisfy the following inequality:
lidiya [134]

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

5x + 4 \ge 19

Required

State the values of x within 2 and 8

5x + 4 \ge 19

Collect Like Terms

5x \ge 19 - 4

5x \ge 15

Divide both sides by 5

\frac{5x}{5} \ge \frac{15}{5}

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(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

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The values of x \ge 3 are: 3,4,5,6 and 7

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3 years ago
How many triangles can be drawn with side lengths of 3 inches, 5 inches, and 6 inches???
storchak [24]

Answer:

4 congruent triangles

Step-by-step explanation:

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5 0
3 years ago
What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

y=x-0.04x^2

Differentiate with respect to x.

y'=1-0.04(2x)

y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

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x=\dfrac{-1}{-0.08}

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Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

y=6.25

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0
3 years ago
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