Write the expression |x − 9| + |x − 6| without the absolute value symbols if x is in the given interval.
(−∞, 1)

Answer:

\(a. \ (x-2)(x+i)(x-i)\)

Step-by-step explanation:

First of all let's notice that \((x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C}\) while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of \((x-\alpha)\) it means tha \(\alpha\) is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)

\(p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0\)

\(p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20\)

At this point 2 is a zero, and our final factoring is a\((x-2)(x+i)(x-i)\)

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

\(Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15\)

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

36000 divided by 29,400 get the answer then divide by 12

\(Hiya!\)

Sokka is here to help!

I believe it is A..

Hopefully, this helps you!!!

\(Sokka\)

Answer:

Option B is correct.

Step-by-step explanation:

The question said "Opposite numbers and the sum of those numbers is 0". Let's see if Option B has these abilities.

=> Therefore, Option B is the correct answer.

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

5x - 10 = 10

5x - 10 + 10 = 10 + 10

5x = 20

x = 4

Answer:

4

Step-by-step explanation:

10=5x-10

5x=10+10

5x=20

x=20/5

x=4

Answer:

My answer is (-3, 17).

Step-by-step explanation:

You will use minus sign for the equation in other to eliminate one of the letters and use the other one to find the one eliminated later...Which means that 4x+y=5 (-) 3x+y=8..... the minus sign will eliminate +y and +y in each equation because the "+y" in the second equation will be turned to -y because + times(×) - will give us minus sign so the "y" will be eliminated to give space for the 'x" .After the x has been found which is x=-3 then you will substitute x=-3 into the any equation and then you will also find the "y" which is y=17.....Thank you

It is just a way of describing a set.

You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.

Here are a few examples:

{x| x > 0} This is read: The set of all x such that x is greater than 0.

Reading it character by character:

{ — shows you that we are talking about a set, and it sort of opens up, or starts the set

x — tells you that we are talking about a set of elements x

| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.

x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.

So this example is just how you would use set builder notation to talk about the set “the positive real numbers”

So why use it? Because it can describe more complicated sets much more succinctly.

2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}

3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.

The number of bacteria can be modeled with an exponential function.

The interest function is also an exponential function.

The only linear relationships are the money that the plumber earns and the function about the cookie dough, since they increase with constant rates.

Answer:

i know it's late but the answer is B.

Step-by-step explanation:

A plumber earns $90 the first hour plus $55 for every additional hour.

The new coordinate (- 7, 3 ) of the image of (-3,-7) under a rotation of 90 degrees.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let the coordinate Z is (-3, -7)

Under a clockwise rotation about the origin of  90 degrees

A coordinate ( x, y ) → ( y, - x ),

The coordinate Z is (-3, -7) and is translated using the rule

Then simply plug in the values of x and y which are x = -3 and y = -7

Thus ( -3, - 7 ) → (- 7, 3 )

This is the new coordinate for Z  (- 7, 3 )

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well, if you had the cash right now, you can put it down cold for 5995.67 bucks

OR

put as a downpayment now 759 and then over 48 months pay 129.95 each month, well, 129.95  48 times is 129.95 * 48 = 6237.6, now let's add the 759 down and that's 6237.6 + 759 = 6996.6.

well, heck if you had the cash it'd be 5995.67, if you don't is 6996.6, their difference is 6996.6 - 5995.67 = 1000.93.

The is a probability of 15.87% that if you bake 34 muffins it would run out of today.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where x = raw score, μ = mean and σ = standard deviation.

Given that σ = 6, μ = 40, hence:

For x = 34:

z = (34 - 40)/6 = -1

P(z < -1) = 0.1587

The is a probability of 15.87% that if you bake 34 muffins it would run out of today.

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Step-by-step explanation:

i

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

im not sure sry man....... delete this answer bc im not sure how to

The measure of angle C is given as follows:

<C = 80º.

Segments AD and BE are parallel, hence the angles A and B are congruent, that is, they have the same measure:

<A = <B.

Angle ABE is of 50º, hence the measures of the congruent angles A and B are given as follows:

<A = <B = 50º.

The sum of the measures of the internal angles of a triangle is of 180º, hence the following relation from triangle ABC is established.

<A + <B + <C = 180º.

The measures of angles A and B were already found, hence we can solve for the measure of angle C with the above equation as follows:

<A + <B + <C = 180º.

50 + 50 + <C = 180

<C = 180 - 100

<C = 80º.

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Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:

c) (x+1)²+(y-3)²=25

Step-by-step explanation:

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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Answer:

54

Step-by-step explanation:

46+80=126 and every triangle adds up to 180 so subtract 180 from 126 (180-126=54)

Hope this helped!

Answer:

c)54 degrees

Step-by-step explanation:

A triangle has to be 180 degrees.

46+80=126

180-126=54

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Let's start by defining some variables:

Let's call Jamal's age "J".

Let's call Alex's age "A".

From the problem statement, we know that:

J = A - 5 (Jamal is 5 years younger than Alex)

J * A = 300 (the product of their ages is 300)

We can use the first equation to substitute J in the second equation:

(A - 5) * A = 300

Expanding the left-hand side:

A^2 - 5A = 300

Moving all terms to the left-hand side:

A^2 - 5A - 300 = 0

We can solve for A using the quadratic formula:

A = (-(-5) ± sqrt((-5)^2 - 41(-300))) / (2*1)

A = (5 ± sqrt(25 + 1200)) / 2

A = (5 ± sqrt(1225)) / 2

Since A is a positive integer, we take the positive solution:

A = (5 + 35) / 2 = 20

Now we can use the first equation to find J:

J = A - 5 = 20 - 5 = 15

Therefore, Jamal is 15 years old.

Regarding resolving the given issue, we have Consulting a financial advisor or credit counsellor may also be beneficial.

It is possible to multiply, divide, add, or subtract in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator The components of a mathematical expression (such as addition, subtraction, multiplication or division, etc.) include numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as does the variable m in the expression 4m + 5.

Rosa has a variety of loan alternatives, and the one with the lowest interest rate will rely on a number of elements, including her credit score, her income, and the loan's length. However, she would generally be able to pay the least amount of interest with a secured loan with a lower interest rate.

A loan that is secured by property, such a car or a house, is known as a secured loan. Rosa may want to think about a secured auto loan in this situation, where the vehicle itself acts as security for the loan. The lender is assuming less risk because the loan is secured, therefore they can charge a lower interest rate.

Rosa may also take into account an unsecured personal loan from a bank or credit union if she has strong credit. Personal loans are frequently provided with set interest rates and terms, which can make budgeting for them simpler. They do, however, often have higher interest rates than secured loans since they are unsecured.

Rosa should shop about and evaluate offers from several lenders to locate the best loan choice for her, taking into account things like interest rates, costs, loan periods, and repayment alternatives. Consulting a financial advisor or credit counsellor may also be beneficial.

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Answer:

theres no expression..?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

The height of a cylinder with a volume of 178x cubic inches and a radius of 8 inches is 0.89 inches.

The volume of a cylinder is represented as:

V= πr²h

where r = radius = 8

h = Height

v = volume = 178

The height will be calculated thus:

V = πr²h

178 = 3.14 × 8² × h

h = 178 / (3.14 × 8²)

h = 178 / (200.96)

h = 0.89

The height is 0.89 inches.

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Step-by-step explanation:

This is a sequence of multiply by 2

3 6 12 24 48

Answer:

3,6,12,18

Step-by-step explanation:

hope i helped

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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Answer:

w+14,

Step-by-step explanation: