Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

The solution of the equation is x= -6 or x = 2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the Equation x²+ 4x -4 - 8 or x² + 4x - 12.

Now Factorizing the equation we get

x² + 4x - 12

= x² + 6x - 2x  - 12.

= x (x+ 6) - 2( x+ 6)

= (x -2) (x+ 6)

So, x-2 = 0 or x+ 6= 0

x= 2 or x= -6

Thus, the solution of the equation is x= -6 or x = 2.

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Answer:

ask in English then only I will answer

[tex]533 {?}^{2} \times \frac{?}{?} [/tex]

Answer:

53

Step-by-step explanation:

jddhhevehevevegejwkwveehjebebsjsbs

Given:

The sequence is:

[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]

To find:

The formula for the nth term in the given sequence.

Solution:

We have,

[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]

The given sequence can be written as

[tex]\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...[/tex]

The sign are alternative and the absolute value of each term can be defined by the expression [tex]\dfrac{17}{n^3}[/tex], where n is a natural number.

So, the required formula is:

[tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex]

Therefore, the formula for nth term in the given sequence is [tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex].

9514 1404 393

Answer:

  $1686.05

Step-by-step explanation:

The amount with compound interest is ...

  A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

  A = $1600(1 +0.0175/4)^(4·3) = $1686.05

The balance after 3 years is $1686.05.

Answer:

the answer is $1686.05

Step-by-step explanation:

:))

Answer:

3,1,-2,5

Step-by-step explanation:

The range means the y number of the domain (x)

Answer:

Hi! The answer to your question is {3,1,-2,5)

Step-by-step explanation:

The Domain is a set of all the values of x. The Range is a set of all the values of y.

Hope this helps **™

- Brooklynn Deka

❣❣❣

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Answer:

not safe it is 78.5 degrees

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

12 cents

Step-by-step explanation:

opportunity cost of the next best option forgone when one alternative is chosen over other alternatives

by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost

9514 1404 393

Answer:

  5/8 or 5/9

Step-by-step explanation:

The fraction will be exactly ...

  5/(8 1/2) = 10/17   ⇒   (8 1/2)×(10/17) = 5

__

The fraction will be approximately ...

  5/8 or 5/9

The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...

  (8 1/2) × (5/denominator) ≈ 5

  (8 1/2)/(denominator) ≈ 1 .  . . . . . . . divide by 5

If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.

  (8 1/2) × (5/8) = 5.3125 ≈ 5

  (8 1/2) × (5/9) = 4.722... ≈ 5

Either 5/8 or 5/9 will give a product of about 5.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

what

is the quistion cause can't nobody see that

Answer:

Step-by-step explanation:

height after x seconds = -16x² - 2x + 600

-16x² - 2x + 600 = 450

16x² + 2x - 150 = 0

8x² + x - 75 = 0

Quadratic formula

x = [-1 ± √(1² – 4·8(-75))] / [2·8]

 = [-1 ± √2401] / 16

 = [-1 ± 49] /16

 = 3, -3⅛

-3⅛ is an extraneous solution, so x = 3 seconds.

Answer:

it should be the graph on the bottom right

Step-by-step explanation:

The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")

The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.

after selling 8 quilts her income will be higher than her costs

(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).

with all of these reasons combined the correct should be the one on the bottom right

Answer:

8^2 = 64

Step-by-step explanation:

Hi! Okay, let's get started!

[tex]8^{2}[/tex] is what you need help with right?

So, that equals to 8 x 8.

8 x 8 = 64, so it would be 64

Hope that helps!

-Aphrodite :)

Answer:

I think its +10 above surface

Answer:

a) x= 29, y= 87

b) x= 19, y= 45

Step-by-step explanation:

Q5. a) Let the first number be x and the second number be y.

The sum of 2 integers is 116.

x +y= 116 -----(1)

The second number is three times the first number.

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 116

4x= 116

x= 116 ÷4

x= 29

Substitute x= 29 into (2):

y= 3(29)

y= 87

b) Let the smaller number be x and the larger number be y.

x +y= 64 -----(1)

y -x= 26 -----(2)

Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.

From (1):

x= 64 -y -----(3)

Substitute (3) into (2):

y -(64 -y)= 26

y -64 +y= 26 (expand bracket)

2y= 26 +64 (simplify, +64 on both sides)

2y= 90

y= 90 ÷2

y= 45

Substitute y= 45 into (3):

x= 64 -45

x= 19

Answer:

20% profit

Step-by-step explanation:

Hope this helps

Answer:

(20,24) (17,20) and (8,8)

Hope this helps

Step-by-step explanation:

Answer:

a) 2/6           b) 4/6

Step-by-step explanation:

You add the amount of beads: 1+2+2+1= 6

And take the amount of green beads and put it over the total amount so 2/6

For b you do the same but add the green and yellow beads and put that over the total amount 4/6

Answer:

Step-by-step explanation:

a) 2/6 = 1/3

b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) =  1/15 x 1/15 = 1/225

im not sure if my answers are correct

Answer:

x=80

Step-by-step explanation:

(x+30)=110 because they are vertically opposite angles.

x+30=110

x=110-30

x=80

Answer:

x = 80 degrees

Step-by-step explanation:

x + 30 = 110

  - 30  = -30

x = 80 degrees

Answer:

9. B. 32 millimeters

10. C. 7 inches

11. C. 56.24 millimeters

13. B. 14.13 square feet

Step-by-step explanation:

9. Radius of a circle or any circular shape = ½ of its diameter

Diameter of the disk = 64 millimeters

Radius of the disk = ½(64) = 32 millimeters

10. Width of the cooler = 6 in.

Length = 8 in.

Volume = 336 in.³

Height = ?

Formula for volume of a rectangular prism = L*W*H

Plug in the values

336 = 8*6*H

336 = 48*H

Divide both sides by 48

336/48 = H

H = 7 inches

11. A dime has a circular shape

The circumference of the dime = circumference of a circle = πd

Where,

d = 17.91 millimeters

π = 3.14

Plug in the values

C = 3.14 × 17.91 = 56.2374

≈ 56.24 millimeters (nearest hundredth)

12. Area of the top of the desk = area of semicircle = ½ × πr²

Where,

r = ½(6) = 3 ft

π = 3.14

Plug in the values

Area = ½ × 3.14 × 3² = ½ × 3.14 × 9

Area = 14.13 square feet

Answer:

Tip of $1.60

The total is $9.60

Step-by-step explanation:

(20% × $8) + $8

$1.60 + $8

$9.60

J0IN G00GLE MEET GIRL$

wnp-hxru-ipf

Answer:

M = -7

Step-by-step explanation:

It makes sense if you replace it in for M! Hope this helps and have a great day!

Answer:

$22.12

Step-by-step explanation:

Let x be the wholesale price (the price before adding the markup).

The markup is 13%, so 13% of x is added to x.

x + 13%x = $25

x + 0.13x = 25

1.13x = 25

x = 25/1.13

x = 22.12

Answer:

x² - 12x + 36

factored: (x - 6)(x - 6)