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Elenna [48]
3 years ago
8

28. What is the solution to 12-(2x+6) = -4x +10 +2(x-8) *

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

Answer:

A-no solution

Step-by-step explanation:

There are no values of x that make the equation true.

GuDViN [60]3 years ago
6 0

Answer:

<h2><u>The solution to the expression is: No Solution</u></h2>

Step-by-step explanation:

PEMDAS

12 - (2x + 6) = - 4x + 10 + 2 (x - 8)

12 - 2x - 6 = - 4x + 10 + 2x - 16

-2x + 12 - 6 = - 4x + 2x + 10 - 16

Transfer like terms to each side, [x] on one side, and the numbers with it, [x], on the other.

<h2><u>- 2x + 6 = - 2x - 6</u></h2><h2>+ 2x  -6            -6</h2><h2 /><h2>0 = -12</h2><h3><u>Since there is no x for the solution, there is no solution.</u></h3>

Hope this helped!

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3 years ago
Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 &lt; Y ≤ k) = 0.1546. (Round your answer
IgorLugansk [536]

Transform <em>Y</em> to <em>Z</em>, which is distributed N(0, 1), using the formula

<em>Y</em> = <em>µ</em> + <em>σZ</em>

where <em>µ</em> = -16 and <em>σ</em> = 1.21.

Pr[-15.043 < <em>Y</em> ≤ <em>k</em>] = 0.1546

Pr[(-15.043 + 16)/1.21 < (<em>Y</em> + 16)/1.21 ≤ (<em>k</em> + 16)/1.21] = 0.1546

Pr[0.791 < <em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] - Pr[<em>Z</em> < 0.791] = 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] = 0.1546 + Pr[<em>Z</em> < 0.791]

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546 + 0.786

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (<em>Φ(x)</em> denotes the CDF itself):

(<em>k</em> + 16)/1.21 ≈ <em>Φ⁻¹</em> (0.940) ≈ 1.556

Solve for <em>k</em> :

<em>k</em> + 16 = 1.21 • 1.556

<em>k</em> ≈ -14.118

8 0
3 years ago
1. List the domain and range of the relation
Naddik [55]

Answer:

Domain: {(7, 9, 0)}

Range: {(-2, 9, 11, 2)}

3 0
3 years ago
I don’t get this question
kvv77 [185]

This is a right triangle and to solve this you must use Pythagorean theorem:

a^{2} +b^{2} =c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 60

b = x

c = 65

^^^Plug these numbers into the theorem

60^{2} +x^{2} =65^{2}

simplify

3600 + x^{2} = 4225

Now bring 3600 to the right side by subtracting 3600 to both sides (what you do on one side you must do to the other). Since 3600 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

3600 - 3600 + x^{2} = 4225 - 3600

0 + x^{2} = 625

x^{2} = 625

To remove the square from x take the square root of both sides to get you...

x = √625

x = 25

(option C)

Hope this helped!

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I have so many children but I can’t find them -9(8-6n)
Tatiana [17]
Answer :
-9(8-6n) = 0
-9(2n) = 0
-18n = 0
n = 18
3 0
3 years ago
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