Vhat value of x is in the solution set of 9(2x + 1) < 9x - 18?

Answer:

there are infinitely many solutions

Step-by-step explanation:

1/2(b + 14) is the same as (b + 14) / 2

Answer:

126 in^3

Step-by-step explanation:

15 x 2 + 18 x 2 + 30 x 2 = 126

Answer:

126 in^3

Step-by-step explanation:

You Multiple the equation by each number there for you get 126 same with the ^3 when you add it all up together if you understand what I am saying like for example the equation: 15 x 2 + 18 x 2 + 30 x 2 = 126

Answer:

Suppose we have a polynomial of degree N with a leading coefficient A and roots {x₁, x₂, ..., xₙ}

We can write this polynomial as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

such that the terms:

(x - x₁), (x - x₂), etc...

are called the factors.

In this case, we know that the roots OF THE FACTORS

are:

(x = - 2)

(x = - (1 + √5))

(x = + 3i)

If the root of the polynomial is  x = -2, then the factor should be:

(x + 2)

which is zero when we evaluate x in -2

Then the correct option is the first one.

Answer:

16

Step-by-step explanation:

Equation : 6x+2=5x+18

Like Terms : x + 2 = 18

Like Terms Again : x = 16

Answer:

6x+2=5x+18

6x-5x=18-2

X=16

Step-by-step explanation:

First you need to group numbers of like terms in one side. Then when you take the other number to the other side of equal sign changes it's form eg +6 change to - 6

Answer:

diameter = 18 m

Step-by-step explanation:

46.26 = 1/2π(diameter) + diameter

46.26 = 1.57d + d = 2.57d

d = 46.26/2.57 = 18 m

Answer:

2 and 6, 4 and 8, 1 and 5, 3 and 7

Step-by-step explanation:

The angle rule of corresponding angles states that the corresponding angles are equal if a transversal cuts two parallel lines.

In this example, lines m and l are two parallel lines

line n cuts through both, making every other angle corresponding and congruent, etc...

Answer:

definition :When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

the 4 pairs of corresponding angles:

Answer:

25%

Step-by-step explanation:

1/2 ×1/2

=1/4

=0.25

which is 25%

Proportionately, the number of times that Hannah will have to tie the blanket is 48 times.

Proportion is the relationship between two numerical values or variables.  It shows the share or portion of a variable to the whole number.

Proportions are expressed as ratios, usually using fractions, decimals, or percentages.

The length of the fleece tie blanket = 36 inches

The width of each tie = 3/4 inches

The proportion of 3/4 inches to an inch = 0.75 (3/4)

The number of times to tie the blanket = 48 times (36/0.75)

Thus, the number of times that Hannah will tie the blanket is 48 times.

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Answer:

[tex]\frac{2}{3}[/tex] hours

Step-by-step explanation:

Let [tex]t[/tex] be equal to the time that passes for Car A and Car B to be 8 km apart.

Let [tex]A[/tex] be equal to the distance that Car A travels within [tex]t[/tex].

Let [tex]B[/tex] be equal to the distance that Car B travels within [tex]t[/tex].

1) Create equations

[tex]Distance = Time*Velocity[/tex]

Therefore:

[tex]A=60t[/tex]

[tex]B=72t[/tex]

We also know that the distance between the two cars would be 8 km. Therefore:

[tex]B-A=8[/tex]

2) Solve for t (the time it takes for Car A and Car B to be 8 km apart)

Plug [tex]A=60t[/tex] and [tex]B=72t[/tex] into [tex]B-A=8[/tex]

[tex]72t-60t=8\\12t=8\\t=\frac{8}{12} \\t=\frac{2}{3}[/tex]

Because the velocity unit is km/h, we know that t will be in hours. Therefore, Car A and Car B were 8 km apart after [tex]\frac{2}{3}[/tex] hours.

I hope this helps!

Answer:

Step-by-step explanation:

Answer: Ok, 12 is 25% of 48.

Answer:

33%

Step-by-step explanation:

Divide 150000 by 225000 and you will get 0.66. This is what percentage 150000 is of 225000, which means that the percentage decrease is 1-0.66=0.33 or 33%.

Answer:

38 plus 52 is in fact 90, but Sin and Cos will be different.

Step-by-step explanation:

Honestly I haven't learned Sin or Cos

Answer:

Step-by-step explanation:

A = L x W

so you know that the length is 3m longer than the width, so you could use a formula to represent that

w = L + 3

you then substitute the second equation into the first to solve for L

70 = L x (l +3)

70 = L^2 + 3l

you could then rearrange the formula and solve for l using the quadratic formula  

0 = L^2 + 3l - 70

l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)

l = -3 +- (square root 9 + 280) / 2

l = -3 +- (square root 289) / 2

l = -3 +- 17 / 2

then you solve for the two separate roots

l = -3 + 17 /2

l = 14 / 2

l = 7

or  

l = -3 - 17 / 2

l = -20 / 2

l = -10

since a length cannot be negative, this root is not viable. therefore l = 7

to solve for w you would use

w = l + 3

w = 7 + 3

w = 10  

hope this helps. :)))

Answer:

2x - y = 8

Step-by-step explanation:

Hey,

To create this equation in standard form, you first have to form it in slope-intercept form.

Slope-intercept Form= y = mx + b, where m is the slope, and b is the y-intercept.

y = 2x + b

To Find B, we will substitute the ordered pair (8,8) as x and y.

8= 2(8) + b

8 = 16 + b

Subtract 16 from both sides.

8-16 = 8 +16 -16 +b

Simplify.

-8 = b

Substitute in the equation

y = 2x -8

Convert to Standard Form.

Subtract 2x on bot sides.

y - 2x = 2x - 2x - 8

y - 2x = -8

Multiply Entire equation by -1.

-1(y - 2x = -8)

2x - y = 8

Hope I helped, Have a nice day!

      -Aadi x

The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula  ⁴C₃(0.60)³(0.40)

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = ⁿCₓ pˣq⁽¹⁻ˣ⁾

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the total number of employees be = 500

Now , the probability of success of selecting employees having children is given by p = 0.60

So , the value of q = 1 - p

q = 1 - 0.60

q = 0.40

So , The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula

where,

P ( x ) = ⁿCₓ pˣq⁽¹⁻ˣ⁾

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Substituting the values in the equation , we get

P ( x ) = ⁴C₃(0.60)³(0.40)

On simplifying the equation , we get

P ( x ) = 4 x 0.246 x 0.4

P ( x ) = 0.3456

Therefore , the value of P ( x ) is 0.3456

Hence , The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula ⁴C₃(0.60)³(0.40)

To learn more about binomial distribution click :

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Answer:

Step-by-step explanation:

so formula for the volume of a cylinder is:

(πr^2)*h

so the diameter is given to us which is

2r=10 cm

then r=5 cm

h=6 cm and r=5 cm so we just plug it in

(5^2)*6π

25*6π

150π cm^3 or approximately 471.239 cm^3

Answer:

I will give 2 possible answers. One of them involves a pi key and one is jsut 3.14. I don’t know if your suppose to use the Pi key or 3.14.

Possible answer #1 (with Pi key)= The volume would be about 471.24

Possible answer #2 (using 3.14)= The volume would be 471

Explanation:

Well first yoi gotta find the area of the circle. Using a pi key or 3.14 you follow the formula πr^2

The diameter is 10.

To find the radius divide diameter by 2 or multiply by half.

You’d get 5 and then using pi key or 3.14 number.

You’d have your area. Now multiply that by 6 the height and you have your final answer.

Answer:

x= -16

Step-by-step explanation:

-16 - (-16)=   -16 + 16 =0

Answer:

x=-16 because -16-(-16)=0

Answer: Well, I think a package is 1 pair of headphones and 1 music player and if it is the answer will be 13 because there are only 13 music players

Step-by-step explanation: Sorry if this is wrong. I just don't fully understand the question :)

Answer:

100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Its B

Step-by-step explanation:

Answer:

1000$ is the correct ans I think ?

Answer:

3825

Step-by-step explanation:

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

width is 12 inches. Plug that in to find length...

l=2×12

l=24

Answer:

16 Inches

Step-by-step explanation:

.........................

Answer:

I don’t think it’s a right triangle

Step-by-step explanation:

5^2 + 8^2 should equal 12^2 for it to be a right triangle.