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2 years ago

What number line represents the solution for the inequality -1\2x>4

Mathematics

1 answer:

BartSMP [9]2 years ago

3 0

Answer:

Step-by-step explanation:

-1\2x>4

-x> 8

x < -8

The one without a shaded knob starting from -8 on the x-axis; projecting leftward.

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Which expression is equivalent to 4(6 + 8)?

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2 years ago

To multiply (6x+5)(6x−5),

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2 years ago

What is the factorization of 729x15 1000? (9x5 10)(81x10 – 90x5 100) (9x5 10)(81x5 – 90x10 100) (9x3 10)(81x6 – 90x6 100) (9x3 1

Rudiy27

The factors of the equation are $\rm (9x^4+10)(81x^{10} -90x^5 + 100)$ .

Given

Equation; $\rm 729x^{15 }+ 1000$ .

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots is given by:

$\rm a(x-x_1)(x-x_2)......$

Where a is the leading coefficient.

The factors of the equation are;

$\rm (9x^5 + 10)(81x^{10} -90x^5 + 100)\\\\ 729x^{15}-810x^{10}+900x^5+810x^{10}-900x^5+1000\\\\9x^5(81x^{10} -90x^5 + 100)+10(81x^{10} -90x^5 + 100)\\\\ (9x^4+10)(81x^{10} -90x^5 + 100)$

Hence, the factors of the equation are $\rm (9x^4+10)(81x^{10} -90x^5 + 100)$ .

To know more about factors click the link given below.

brainly.com/question/195124

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2 years ago

A wheelchair ramp is 8.0 m long. The angle of inclination is 10°. Calculate the rise of

garik1379 [7]

Answer:

The height of the ramp is 1.39 m.

Step-by-step explanation:

We have,

A wheelchair ramp is 8.0 m long

The angle of inclination is 10°

It is required to find the rise of the ramp.

Here, hypotenuse is 8 m and angle of inclination is 10°.

Using trigonometry to find it.

$\sin\theta=\dfrac{x}{8}$

x is rise of the ramp

$x=\sin(8)\times 10\\\\x=1.39\ m$

So, the height of the ramp is 1.39 m.

7 0

2 years ago