Rewrite this polynomial in terms of its simplest factors using the appropriate method: x2 − 3x − 18.

Answers

Answer 1

Answer:

(x - 6)(x + 3)

Step-by-step explanation:

Consider the product of the factors of the constant term which sum to give the coefficient of the x-term

product = - 18 and sum = - 3

The factors are - 6 and + 3, hence

x² - 3x - 18 = (x - 6)(x + 3)



Related Questions

Mario made 6 batches of cookies. His friends asked him to make an extra batch. He used 15 3/4 cups of sugar and needs another 5/8 cup for the extra Batch. How many cups of sugar will Mario use altogether? Show work.

Answers

Answer:

57

Step-by-step explanation:

6x?=5/8x15 3/4

HELP I NEED THESE QUESTIONS ANSWERED BEFORE THERE DUE PLZ HELP!!!!!!!

Answers

Answer:

Please, see the answers in the attached files.

Step-by-step explanation:

Please, see the attached files.

Thanks.

What does this symbol “ mean in math

Answers

I think, it's the symbol of the inches.

3" = 3 inches

or it's the second derivative of the function

[tex]\dfrac{d^2y}{dx^2}=f''(x)[/tex]

If f(x)=x+7 and g(x)=1/x-13, What is the domain of (f•g)(x)

Answers

Answer:

F(x) = x+7

g(x) = 1/(x-13)

fog(x) = [1/(x-13)] + 7

The denominator of the fraction cannot be equal to zero.

So, the domain of fog(x) is x∈R~{13}

Step-by-step explanation:


Final answer:

To find the domain of (f•g)(x), substitute g(x) into f(x) and identify any values of x that make the expression undefined.

Explanation:

The function (f•g)(x) represents the composition of two functions, f(x) and g(x). To find the domain of (f•g)(x), we need to determine the values of x for which the composition is defined.

The composition (f•g)(x) can be written as f(g(x)). Substituting g(x)=1/x-13 into f(x)=x+7, we have f(g(x))=(1/x-13)+7.

The domain of (f•g)(x) consists of all the values of x for which the expression (1/x-13)+7 is defined. Since division by zero is not defined, we need to exclude x=0 from the domain. Additionally, we need to exclude the value x=13 because the expression (1/x-13)+7 would lead to division by zero. Therefore, the domain of (f•g)(x) is x≠0, 13.

Learn more about Domain of composition of functions here:

https://brainly.com/question/30194233

#SPJ2

Matthew is 26 years old. He buys 50/100/25 liability insurance, and collision and comprehensive insurance, each with $250 deductibles.

What is his total annual premium?

Answers

Answer:

$1,846.9

Step-by-step explanation:

Liability Insurance 50/100/25

Where 50/100=$310; and 25=$175. The equation is ($310+$175=$485)

Collision & Comprehensive Premiums

Where Deductible=$250; Collision=$185; and Comprehensive=$102. The equation is ($250+$185+$102=$537)

He gets a 25-29 aged male rating factor of 1.55 for each of them. Liability's equation is $310*1.55=$480.5; and for Collision and Comprehensive the equation is $(185+102)*102=$344.4

Added all up ($485+$537+$480.5+$344.4=$1,846.9)


graph the solution set. please help

Answers

Answer:

In the attachment.

Step-by-step explanation:

Rewrite [tex]x\geq-3y-6[/tex] as a [tex]y\geq -\frac{1}{3}x-2[/tex]. Then mark each set with different color and take the intersection of these.

which graph represents the function f(x)=0.25x+5

Answers

Answer:

Option D.

Step-by-step explanation:

Consider the given function

[tex]f(x)=0.25^x+5[/tex]

We need to find the graph of given function.

Substitute x=0 in the given function to find the y-intercept of the function.

[tex]f(0)=0.25^(0)+5[/tex]

[tex]f(0)=1+5[/tex]

[tex]f(0)=6[/tex]

So, y-intercept of the function is 6.

[tex](0.25)^x\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex](0.25)^x\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]

We can concluded that

[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex]f(x)\rightarrow 5[/tex] as [tex]x\rightarrow \infty[/tex]

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

Help!!!! (Must be done in 30 mins)

Answers

Answer:

w=-4

Step-by-step explanation:

w-20=6w

-20=5w

-4=w

A department store sells a pair of shoes with an 80% markup. If she store bought the pair of shoes for 55.25$, what is the selling price to the nearest dollar?

Answers

The selling price would be 99 dollars (rounded to the nearest dollar. It would be $99.45 if it is not rounded).

Explanation:

1. 55.25 is the original price in the problem, meaning it is 100%
2. If we need to find 80% of 55.25, we should set up a ration table.
3. 55.25 x
---------- = -------
100 80
4. From here, we need to cross multiply.
-55.25 times 80 is 4,420
-4,420 divided by 100 is 44.2
5. Since 44.20 is 80% of 55.25, we need to add the two prices together, because the store she bought them from marked them up (raised the price)
6. 44.20+55.25=99.45
7. Now, we round to the nearest dollar, which would be 99


Hope this helps!


You are working as an office apprentice for the bksb Newcastle Arena.




The arena is attempting to cut down on some of its running costs. Look at the table below that lists the costs for the previous five years.





Year Costs (£)
Year One 1.4 million
Year Two 1.6 million
Year Three 1.8 million
Year Four 2.5 million
Year Five 1.7 million





What is the mean amount of costs?

Answers

Answer:

Mean = £1.8 million


Step-by-step explanation:

The MEAN is the sum of all the numbers divided by the number of numbers.

There are 5 numbers in totalThe sum is [tex]1.4+1.6+1.8+2.5+1.7=9[/tex] million

Hence the mean is [tex]\frac{9}{5}=1.8[/tex] million

Someone help me on my question.

Answers

Answer:

C < A < B

Step-by-step explanation:


Answer:


Step-by-step explanation:The answer is C<A<B and the reason is is because angle A and C are the same and angle B is the largest.


Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now.

Given that my age is an integer number of years, what is the smallest my age could be?

Answers

Answer: His smallest age could be 16 years.

Step-by-step explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

[tex]\frac{4}{5}x>\frac{3}{4}(x+1)[/tex]

Take the equality,

[tex]\frac{4}{5}x=\frac{3}{4}(x+1)\\\\\frac{4}{5}x=\frac{3}{4}x+\frac{3}{4}\\\\\frac{4}{5}x-\frac{3}{4}x=\frac{3}{4}\\\\\frac{16x-15x}{20}=\frac{3}{4}\\\\\frac{x}{20}=\frac{3}{4}\\\\x=\frac{3\times 20}{4}\\\\x=15[/tex]

So, [tex]x>15[/tex]

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.

Answer:

Answer: His smallest age could be 16 years.

Step-by-step explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

Take the equality,

So,

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.

I really need help please!! Show work please!! :)

Answers

Answer:

First Answer C

Second andswer B

Step-by-step explanation:

Left Panel

Givens

In a previous question we have found 2 things.

1. That we are working with a right angle triangle2. That two of the sides are both 9. We did not require the third side. Now we do.

If two of the sides are 9 then in this case only we can use the Pythagorean theorem to find the third side. That is because the the base and height meet at right angles.

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2  

c^2 = 162

sqrt(c^2) =sqrt(162)

c = 12.71

Perimeter

The perimeter = 9 + 9 + 12.71 = 30.7

Answer C

The diagram for the rectangle is shown below. We need to find the length and width.Width = abs(-3) + abs(2)Width = 3 + 2Width = 5Length = 8 - 2 Length = 6Area = Width * LengthArea = 6 * 5Area = 30

Answer B

HELP ME THIS IS DUE SOON AND I HAVE NO IDEA HOW TO DO IT!!!!!!

14. room temperature ranges from 20 degrees C to 25 degrees C. find the range of room temperature in fahrenheit. use the formula F - 32 = 1.8 C to convert from the Celsius scale to fahrenheit scale.

10. 5d - 3.3 = 7.2
3. - 3t + 6 = 0
9. 3/4f + 5 = -5
12. 1.3z + 1.5 = 5.4

Answers

Answer:


Answer:


Room temp is 68°F to 77°F

Explanation:


Plug in 20 and 25 for C


20:

#F-32=1.8*20#

#=>F=36+32=68#


25:

#F-32=1.8*25#

#=>F=45+32=77#



Solve for a in the equation a-17=42

Answers

Answer:

a = 59

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable (a). Add 17 to both sides

a - 17 = 42

a - 17 (+17) = 42 (+17)

a = 42 + 17

Simplify. Combine like terms

a = 42 + 17

a = 59

59 is your answer

~

Solve for a (this means they want you to get "a" by itself in the equation)

So:

a - 17 = 42     Add 17 on both sides to get "a" by itself

a - 17 + 17 = 42 + 17

a = 59

Please help with this last question

Answers

The answer is the last one
2nd last choice is the ans
remember whenever the line is darkened its either greater than or equal to OR Less than and equal to

Bhavik bought 33 liters of milk and 55 loaves of bread for a total of \$11$11. A month later, he bought 44 liters of milk and 44 loaves of bread at the same prices, for a total of \$10$10. How much does a liter of milk cost, and how much does a loaf of bread cost?

Answers

Answer: The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

Let the cost of one liter of milk  is m dollar and the cost of one loaf of bread is b dollar.

Since, the total cost of the 3 liter milk and 5 loaf of bread = $ 11

That is, 3 m + 5 b = 11   ----------(1)

And, the cost of the 4 liter of milk and 4 loaf of bread = $ 10

That is, 4 m + 4 b = 10 -----------(2)

4 × Equation (1),

12 m + 20 b = 44 -----------(3)

3 × Equation (2),

12 m + 12 b = 30 --------------(4)

Equation (3) - Equation (4),

We get, 8 b = 14

⇒ b = 14/8 = 1.75

 By putting the value of b in equation (1)

We get,

3 m = 11 - 1.75×5 ⇒ m = 2.25/3 = 0.75

Thus, the price of one liter of milk = $ 0.75

And, the price of one loaf = $ 1.75

Answer:

The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

write the percent. if necessary, round to the nearest tenth of a percent 6 4/5
(A)68%
(B)6.8%
(C) 6.4%
(D)680%

Answers

Answer:

im positive its b please give brainliest


Step-by-step explanation:


Answer:

I think the answer is 680%


Use slope formula to find the missing coordinate.

(r, 1) and (5, -7) Slope = 8/3

Answers

Answer:

r=8

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

Substitute in what we know.

8/3 = (-7-1)/(5-r)

Simplify

8/3 = -8/(5-r)

We can use cross products to help us solve.

8 * (5-r) = 3 * (-8)

divide each side by 8

8/8 * (5-r) = 3 * (-8)/8

5-r = -3

Subtract 5 from each side

5-r-5 = -3-5

-r = -8

Multiply by -1

r = 8

Two parallel lines are crossed by a transversal . What is the value of k?

Answers

Answer:

k = 60

Step-by-step explanation:

2k + 11 is a same side corresponding angle, hence

2k + 11 = 131 ( vertically opposite angles )

subtract 11 from both sides

2k = 120 ( divide both sides by 2 )

k = 60


Answer:

Option C. k = 60

Step-by-step explanation:

There are two lines Z and Y and crossed by a transverse x.

We have to find the value of k.

Since opposite angle of ( 2k + 11 ) is corresponding angle of 131°

so opposite angle of ( 2k + 11 ) will be = (2k + 11)

and corresponding angles are equal in measure.

So 2k + 11 = 131

    2k = 131 - 11

   2k = 120

    k = 60

Option C k = 60 is the answer.

I need help with this question quickly please! Show steps!

Answers

Answer:

A y = -x+2

Step-by-step explanation:

To find the slope of the line m we use the formula

slope = (y2-y1)/(x2-x1)

         = (-9--7)/(4-2)

         = (-9+7)/(4-2)

        = -2/2

        = -1

When lines are parallel, the slopes are the same.  We need to find a line with slope of -1

y = -1x+2 is written in the form y =mx+b where m is the slope

m=-1  so the slope is -1

This line has the same slope so it is parallel to the line above.


Answer:

would be A

Step-by-step explanation:

SLOPE HAS TO BE -1

In a supermarket bin the number of packages of red to peppers to the number of packages of green peppers is in the ratio of 8 is to 13.The peppers are sold in 2 pound packages.What is the least possible weight of red peppers in the bin?

Answers

Answer:

16 pounds

Step-by-step explanation:

The ratio of no. of packages of red pepper to no. of packages of green pepper is given 8 is to 13.

So, atleast 8 packages of red pepper are sold

Therefore, least possible weight of red peppers in the bin = 2×8 = 16 pounds.


The least possible weight of red peppers in a supermarket bin with a ratio of 8 to 13 of red to green peppers, where each package weighs 2 pounds, is 16 pounds.

To find the least possible weight, we assume the smallest number of packages that maintain the ratio. Multiplying both numbers of the ratio by 2 pounds gives us the weight of the red and green peppers, but since we want the least possible weight of red peppers, we'll only calculate for red.

Therefore, if we have 8 packages of red peppers, each weighing 2 pounds, the calculation would be:

8 packages × 2 pounds/package = 16 pounds of red peppers

Jeramy took 6 hours to read 222 pages of his book. What is Jeramy’s reading speed

Answers

Answer:

37 pages/hour

Step-by-step explanation:

This is a unit rate problem.

You are trying to find the number of pages per hour.

Divide the number of pages by  the number of hours.

222 pages in 6 hours

(222 pages) / (6 hours) = 37 pages/hour

Answer:

37 pages/hour

Step-by-step explanation:

To find the reading speed, we take the pages read and divide by the time it took.

222 pages/ 6 hours

37 pages/hour

How do I factor quadratics?

Answers

Ok so factoring quadratics is fairly easy once you get the hang of it

So we have a quadratic [tex]x^2+x-2[/tex]

My first question would be what 2 numbers multiply to -2 and add to +1

the answer is 2 and -1

Second question what 2 values multiply to get [tex]x^2[/tex]

the answer x and x

your factored form would be [tex](x-1)(x+2)[/tex]

This is as far as i can explain there is a whole lot about quadratics to be learned. You have to ask your teacher on more information


Salar's Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets cost $3.50 each and he has $15.25 to spend, how many tickets can he buy?

Answers

Answer: 4 tickets


Step-by-step explanation: If $15.25 is Salar’s total and each ticket costs $3.50, we need to use division to figure out how many tickets Salar can purchase. When we divide 15.25/3.50, we get 4.35 (approximately). Salar can’t have .35 of a ticket, so we round down to 4 whole tickets.


To find out how many tickets Salar can buy, we would need to divide the money he has, for spending, by the cost of each ticket-first. This would look like:
[tex]15.25 \div 3.5[/tex]
Or
[tex]152.5 \div 35[/tex]
When simplified, the quotient (answer for a division problem) would be 4.357143.

4.357143 is not a whole number. Let's round it to nearest whole number: 4. After all, Salar can't exactly buy 4.357143 tickets. He would have to tear a ticket.

So, with $15.25, Salar can buy 4 tickets for the play.

you roll a fair six sided die the die shows an odd number or number greater than four

Answers

Answer:

P (odd number or number greater than 4) =  4/6  = 2/3

Step-by-step explanation:

The solution set { 1,2,3,4,5,6}

Odd numbers are 1,3,5

Numbers greater than 4 are 5,6

Notice that 5 is repeated.  We can only count it once

There are 4  answers that meet the criteria  (since we can only count 5 once)

P (odd number or number greater than 4) =  4/6  = 2/3

Tom knows that his school 10 out of every 85 students are left-handed. There are 391 students in Tom's school.

How many students in toms school are left-handed?
please show work if you help and i will mark as most BRAINLY THANK YOU GUYS!! ;)

Answers

I first divided 391 by 85 and got 4.6
then I multiplied 4.6 by 10 and got 46

so your and is 46

If the sum of two numbers is 19 and their difference is 3. What are the two numbers?

Answers

Answer:

11 & 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

The answer is 8 and 11

Step-by-step explanation:

8 + 11 = 19

11 - 8 = 3

if x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.

Answers

Answer:

x =7

Step-by-step explanation:

Remark

A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 .... Each term is multiplied by a common number and the term before it. In this case the common term is 3. To get the next term after 9, you multiply 9 by 3.To get the common ratio divide the second term by the first and then the third term by the second

Equation

(x + 2)/(x - 4) = (3x + 6)/ (x + 2)

Solution

I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.

(x + 2)/(x - 4) = 3(x + 2)/ (x + 2)   Notice the two binomials on the right cancel.

(x + 2)/(x - 4) = 3/1                       Cross multiply(x + 2)*1 = 3*(x - 4)                       Remove the brackets on the right.x + 2 = 3x - 12                             Add 12 on both sides.x + 2 + 12 = 3x - 12 + 12              Simplifyx + 14 = 3x                                  Subtract x from both sides14 = 3x - x2x = 14                                        Divide by 2x = 14/2x = 7

You are making candles for your friends. A mold for the candles cost $22.50 and wax to make one candle cost $5 . Write an algebraic expression for the total cost of making x candles .You make 8 candles. Find the total cost

Answers

Expression: 22.50+5(x)

8 candles: $62.50


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