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3 years ago

Please answer 6! Thank you!

Mathematics

1 answer:

Jobisdone [24]3 years ago

4 0

Answer:

∠J= 22°

JL=19.0137

KL=7.99

Step-by-step explanation:

The step-by-step is attached as a picture. Hope it helps! Feel free to message me if you have any questions in reference to this math problem.

The answer to the problem you sent me in the comments is attached to here too.

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Show that the equation x^3+4x=6 has a solution between 1.1 and 1.2

SVEN [57.7K]

Answer:

see explanation

Step-by-step explanation:

If there is a solution between x = 1.1 and x = 1.2 then there will be a change in sign when the equation is evaluated at the points, indicating the graph has crossed the x- axis, where the solution lies.

Given

x³ + 4x = 6 ( subtract 6 from both sides )

x³ + 4x - 6 = 0 ← in standard form

Evaluating for x = 1.1

(1.1)³ + 4(1.1) - 6

= 1.331 + 4.4 - 6 = - 0.269 ← < 0

Evaluating for x = 1.2

(1.2)³ + 4(1.2) - 6

= 1.728 + 4.8 - 6 = 0.528 ← > 0

Since there is a change in sign the graph has crossed the x-axis from below / indicating a solution between x = 1.1 and x = 1.2

3 0

3 years ago

What is the parent function for the following<br><br> f(x) = (x-2) (x-1)

Taya2010 [7]

Answer:

The parent function of f(x) = (x-2) (x-1) is $P(x) = x^2- 3 x + 2$ .

Step-by-step explanation:

Here, f(x) = (x-2) (x-1)

Now, parent function of a given function is the function, which is PRODUCT OF ALL IT S FACTORS.

Now, here, f(x) has two factors ( x- 2) and ( x-1)

So, the parent function p(x) of f(x) is given as the product of both the factors.

So, we get:

$P(x) = (x-2) (x-1) \\= x( x-1) -2(x-1)\\=x^2 - x -2x + 2\\= x^2- 3 x + 2\\\implies P(x) = x^2- 3 x + 2$

Hence, here the parent function of f(x) = (x-2) (x-1) is $P(x) = x^2- 3 x + 2$ .

6 0

3 years ago

What is the distance between -3 and 2 on the number line?

telo118 [61]

Answer: the answer is 190 to the power of 7

Step-by-step explanation:

so u just have to multiply by 35 and u will get the answer

6 0

4 years ago

Read 2 more answers

(-2, 8) (9, 10) (1,7) (3, 9) (10, 12)FunctionNot a Function

lesya692 [45]

First of all, we need to know what a function is.

A function is a binary relation between two sets that

8 0

1 year ago

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

aniked [119]

Answer:

a. V = (20-x) $x^{2}$ $in^{3}$

b . 1185.185 $in^{3}$

Step-by-step explanation:

Given that:

The height: 20 - x (in )
Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h * $x^{2}$ $in^{3}$

<=> V = (20-x) $x^{2}$ $in^{3}$

b. What is the maximum possible volume of the box?

To maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3 $x^{2}$ + 40x

Let dV / Dx = 0, we have:

-3 $x^{2}$ + 40x = 0

<=> x = 40/3

=>the height h = 20/3

So the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 $in^{3}$

7 0

3 years ago