Which number is an irrational number?

Answer:

Hey there!

We have |3x + 9| + 6 = 6. Subtracting 6 from both sides gives us |3x + 9| = 0.

3x+9=0

3x=-9

x=-3

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Subtracting 6 from both sides yields |3x + 9| = 0.  For this to be true, 3x + 9 must be 0, and so x must be -3.

Answer:

$6.35

Step-by-step explanation:

5*25=125

125+500=625

625+10=635

635/100=6.35

Answer:

$6.35

Step-by-step explanation:

500 pennies = $5.00

5 quarters = $1.25

.10+1.25+5=6.25

Answer:

The slope is 1

Step-by-step explanation:

there's actually a trick you can do to find the slope. if you go from where the y-intercept is and go over to the x- intercept it will give you the slope hope this helps you

Answer:

$11095.45

Step-by-step explanation:

This is a problem in continuous compounding, for which the formula is

P = Ae^rt, r being the annual interest rate as a decimal fraction and t being the time in years.  Here we have:  

P = $9900e^(0.019)(6) = $11095.45

Answer:

11095

Step-by-step explanation:

Rounding to the nearest dollar

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

-(1/-11)(77+1100)=107

Answer:

107

Step-by-step explanation:

-(1/-11)(77+1100)

1/11(1177)

=107

Answer:170

Step-by-step explanation:

The measure of angle LNP is 275 degrees.

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.

In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.

The measure of angle  LNP is determined in the following steps given below.

[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]

Hence, the measure of angle LNP is 275 degrees.

Learn more about the inscribed angle theorem here;

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Answer:

x = 29

Step-by-step explanation:

If the lines are parallel

< CBA = < DAB due to the fact that they are alternate interior angles

42 = DAB

We also know that

DAB + BAC + CAE = 180 since they form a straight line

Substituting the given values

42+ 109 + x = 180

Combine like terms

151 + x = 180

151+x-151 = 180-151

x = 29

Answer:

  (x, y, z) = (-2, 4, 0)

Step-by-step explanation:

Solving the last equation first, we have ...

  2x = -4

  x = -2 . . . . . divide by 2

__

Putting this in the first equation, we can write an expression for z:

  -2 +y +z = 2

  z = 4 -y . . . . . . . add 2-y

__

Putting this in the second equation, we have ...

  4(-2) +5y +(4 -y) = 12

  -4 +4y = 12

  -1 + y = 3 . . . . . divide by 4

  y = 4 . . . . . . . . add 1

__

Substituting this into the equation for z, we have ...

  z = 4 - 4 = 0

The solution is (x, y, z) = (-2, 4, 0).

Answer:

X+y+z=2 equation 1

4x + 5y + z = 12 equation 2

2x = -4 equation 3

Step-by-step explanation:

step 1 :

from equation 3 : 2x = -4

x= -4/2 = -2

step 2:

sub value x = -2 in equation 1

y + z = 4 _______ equation 4

step 3:

sub value of x in equation 3

5y + z = 20 _________ equation 4

solve equation 3 and 4

y + z = 4

5y + z = 20 sign change

__(-)_________

-4y = -16

__________

y = 4

substitute x = -2 & y = 4 in equation 1

z = 0

Hence x = -2 , y = 4 & z = 0

Answer:

x = 1, y = 2, z = 4

Step-by-step explanation:

(x + 4y – z = 5

2(3x – 2y + 2z = 7 )

6x - 4y + 4z = 14

7x + 3z = 19

3(2x – z= -2)

6x - 3z = -6

13x = 13

x = 1

6(1) - 3z = -6

-3z = -12

z = 4

(1) + 4y - 4 = 5

4y = 8

y = 2

Step-by-step explanation:

Hi there!!

Here, the thing is we should add them first yaa.

so, let's add them

[tex] = - 2 \frac{1}{6} + \frac{7}{3} [/tex]

by taking lcm we get their lcm is 6 and let's do it according to that,

[tex] = \frac{ - 12 \times 1}{6} + \frac{7 \times 2}{6} [/tex]

now, let's simplify them ok..

[tex] = \frac{ - 12 + 14}{6} [/tex]

so, we get 2/6 (i.e 1/3)

now, the number line must be greator than 1 and less than 1.

Hope it helps...

Answer:

Rotation

Step-by-step explanation:

when you rotate a point it swaps the numarical values x⇄y as well as in some cases it changes its the symbol from negative to positive depending on the quadrant, in this case, it started in quadrant one and ended in quadrant three.

Answer:

[tex]PQ = x + 13[/tex]

The dimension of the garden is 52.5ft by 43.5ft

Step-by-step explanation:

Given

The shape above

Required

Determine PQ

Determine dimension of the garden

Calculating Length PQ

Represent the length of the inner rectangle as L

Represent the width of the inner rectangle as W

[tex]W = x[/tex]

[tex]L = x + 9[/tex]

The distance between the inner rectangle and the outer triangle is 4ft

This implies that;

[tex]PQ = L + 4[/tex]

Substitute [tex]x + 9[/tex] for [tex]L[/tex]

[tex]PQ = x + 9 + 4[/tex]

[tex]PQ = x + 13[/tex]

Also;

[tex]QR = W + 4[/tex]

Substitute [tex]x[/tex] for [tex]W[/tex]

[tex]QR = x + 4[/tex]

Calculating The Dimension of The Garden

First, we need to determine the Area of the inner rectangle

[tex]Area_1 = L * W[/tex]

Recall that  [tex]W = x[/tex] and [tex]L = x + 9[/tex]

So;

[tex]Area_1 = x * (x + 9)[/tex]

For the bigger rectangle

[tex]Area_2 = PQ * QR[/tex]

Recall that  [tex]PQ = x + 13[/tex] and [tex]QR = x + 4[/tex]

So;

[tex]Area_2 = (x + 13)(x + 4)[/tex]

Given that the Area of the walkway is [tex]400ft^2[/tex]

This implies that

[tex]Area_2 = Area_1 + 400[/tex]

Substitute [tex]Area_1 = x * (x + 9)[/tex] and [tex]Area_2 = (x + 13)(x + 4)[/tex]

[tex](x + 13)(x + 4) = x * (x + 9) + 400[/tex]

Open All Brackets

[tex]x^2 + 13x + 4x + 52 = x^2 + 9x + 400[/tex]

[tex]x^2 + 17x + 52 = x^2 + 9x + 400[/tex]

Collect Like Terms

[tex]x^2 - x^2 + 17x - 9x = 400- 52[/tex]

[tex]8x = 348[/tex]

Divide both sides by 8

[tex]\frac{8x}{8} = \frac{348}{8}[/tex]

[tex]x = \frac{348}{8}[/tex]

[tex]x =43.5[/tex]

Since the dimensions of the garden is [tex]W = x[/tex] and [tex]L = x + 9[/tex]

Substitute 43.5 for x in both cases

[tex]L = 43.5 + 9 = 52.5[/tex]

[tex]W = 43.5[/tex]

Hence, the dimension of the garden is 52.5ft by 43.5ft

Answer:

120

Step-by-step explanation:

expand and calculate

10x9x8x7!/(10-3)!x3!

10x9x8x7!/7!x3!

reduce

10x9x8x7!/7!x3!

10x9x8/3!

Calculate the product

10x9x8/3!

Now Cacluate the factorial

720/3!

720/6

reduce

120

Answer: 120

Step-by-step explanation:

Answer:

Step-by-step explanation:

If there are illustrations to given problems, please share those illustrations.  Thank you.  

The only value of x for which  [x-5]=1 is true is 6:   [6-5]=1

Steps to solve:

x - 5 = 1

~Add 5 to both sides

x - 5 + 5 = 1 + 5

~Simplify

x = 6

Best of Luck!

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

Answer:

x >= 2 or x <= -2

Step-by-step explanation:

|x|>= 2

Means the absolute value of x is greater than or equal to two.

When we deal with absolute value, we can equivalently break into two cases

+x >= 2    => x >= 2

-x >= 2    =>  x <= -2

On the number line it looks like what is shown in the attached figure.    

Answer:

$6250

Step-by-step explanation:

6250x.075x8=3750

6250+3750=10,000

Answer:

see explanation

Step-by-step explanation:

GC = 11B + 1D

WS = 9B + 2D

Linear equations will point downward

Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.

Answer:

True all for v

Step-by-step explanation:

All real numbers are solutions.

Answer:

∠B = 63°, ∠F = 59°

Step-by-step explanation:

Given that  angle D measures 31° and angle A measures 27°.

From the diagram attached, ∠ E = 90°, ∠G = 90°.

Also ∠C + ∠G = 180° (sum of angles on a straight line)

∠C + 90 = 180

∠C = 180 - 90 = 90°

To find the measure of ∠B and ∠F, we use the triangles ABC and DEF, remember that the sum of all interior angles of a triangle is 180°. In triangle ABC:

∠A + ∠B + ∠C = 180° (angles in a triangle).

27 + ∠B + 90 = 180

∠B + 117 = 180

∠B = 180 - 117

∠B = 63°

Also in triangle DEF:

∠D + ∠E + ∠F = 180° (angles in a triangle).

31 + 90 + ∠F = 180

∠F + 121 = 180

∠F = 180 - 121

∠F = 59°

Answer:

The answers are as follows.

Step-by-step explanation:

Expressions:

Computation:

Product of 2 and x is 14

2(x) = 14

x = 7

6 added with a number gives 14

6+x = 14

x = 8

The product of six and a gives 12

6(a) = 12

a = 2

12 divided by y gives 2

12 / y = 2

y = 6

6 subtract from a number and get 12

x - 6 = 14

x = 20

Answer:

$2216.72

Step-by-step explanation:

Simply plug in your known variables into the formula:

a = 1000

r = 0.04 (4%)

n = 4

t = 20

A = 1000(1 + 0.04/4)⁴⁽²⁰⁾

A = 1000(1 + 0.01)⁸⁰

A = 1000(1.01)⁸⁰

A = 1000(2.21672)

A = 2216.72

Answer:

15

Step-by-step explanation:

30 quarts of 1 percent combined with 15 quarts of 4 percent would equal 45 quarts of 2%

Answer:

1. 5

2. 6

3. 8

4. 200

Step-by-step explanation:

I said the answer already

first 5

next 6

then 8

lastly 200 my accounts (try both of them) king1ev15 and/or king1ev151

Answer:

Won't they be on the same place, so 360° i think

Answer:

10 degrees

Step-by-step explanation:

Answer:

Also, there seem to be many typos in this question, I am trying my best to decipher them all :) next time maybe double check the wording thx!

Step-by-step explanation:

the question doesn't make sense because if you were to pay $1120 per month, for 2 years, you would go over the amount that you bought. I also am not sure what a dews payment is. Try wording it differently/check you spelling.

Answer:

a constant multiplied by y can affect the linear, because it determines a dependent variables.

Step-by-step explanation:

a linear relationship is a statistical term used to described a straight line relationship between two variables.

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

[tex]y = 3 {x}^{2} - 2x + 1[/tex]

[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]

[tex]D = - 8[/tex]

[tex]D < 0[/tex]

Option 2,

[tex]y = 3 {x}^{2} - 6x + 3[/tex]

[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]

[tex]D = 0[/tex]

Option 3,

[tex]y = 3 {x}^{2} - 7x + 1[/tex]

[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]

[tex]D = 37[/tex]

[tex]D > 0[/tex]

Option 4,

[tex]y = 3 {x}^{2} - 4x - 2[/tex]

[tex]D = {( - 4)}^{2} - 4(3)( - 2)[/tex]

[tex]D = 40[/tex]

[tex]D > 0[/tex]

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).

Option 1,

y =3x² - 2x +1

D = b² - 4ac

D = ( -2 )² - ( 4 x 3 x 1 )

D = 4 - 12

D = -6

D < 0

To know more about coordinate geometry follow

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Answer:

[tex]P(At\ least\ 1) = 0.985[/tex]

Step-by-step explanation:

Given

Proportion = 55%

Required

Probability that at least one out of 7 selected finds a job

Let the proportion of students that finds job be represented with p

[tex]p = 55\%[/tex]

Convert to decimal

[tex]p = 0.55[/tex]

Let the proportion of students that do not find job be represented with q

Such that;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

[tex]q = 1 - 0.55[/tex]

[tex]q = 0.45[/tex]

In probability; opposite probabilities add up to 1;

In this case;

Probability of none getting a job + Probability of at least 1 getting a job = 1

Represent Probability of none getting a job with P(none)

Represent Probability of at least 1 getting a job with P(At least 1)

So;

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Solving for the probability of none getting a job using binomial expansion

[tex](p + q)^n = ^nC_0p^nq^0 + ^nC_1p^{n-1}q^1 +.....+^nC_np^0q^n[/tex]

Where [tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex] and n = 7; i.e. total number of graduates

For none to get a job, means 0 graduate got a job;

So, we set r to 0 (r = 0)

The probability becomes

[tex]P(none) = ^nC_0p^nq^0[/tex]

Substitute 7 for n

[tex]P(none) = \frac{7!}{(7-0)!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7! * 1} * p^7 * q^0[/tex]

[tex]P(none) = 1 * p^7 * q^0[/tex]

Substitute [tex]p = 0.55[/tex] and [tex]q = 0.45[/tex]

[tex]P(none) = 1 * 0.55^7 * 0,45^0[/tex]

[tex]P(none) = 0.01522435234[/tex]

Recall that

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Substitute [tex]P(none) = 0.01522435234[/tex]

[tex]0.01522435234+ P(At\ least\ 1) = 1[/tex]

Make P(At least 1) the subject of formula

[tex]P(At\ least\ 1) = 1 - 0.01522435234[/tex]

[tex]P(At\ least\ 1) = 0.98477564766[/tex]

[tex]P(At\ least\ 1) = 0.985[/tex] (Approximated)

Answer:

D= {-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6}

R={-6,-5,-4,-3,-2,-1,1,2,5)

Step-by-step explanation: