What is the factored form of the quadratic expression x^2+36

Answers

Answer 1

Answer:

(x − 6i) (x + 6i)

Step-by-step explanation:

Using real numbers, x² + 36 is already simplified.

Using imaginary numbers:

x² + 36

x² − 36i²

(x − 6i) (x + 6i)


Related Questions

what is 2x + 1 = 15 if x =8

Answers

Answer:

17

Step-by-step explanation:

17=15

so this is not equal

Michael earns
Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks

Answers

So by working 28 hours a week for 6 weeks you multiply 28 x 6 = 168 total hours of work

Now multiply your total hours of work by the amount you make by the hour 168 x 9 = 1512

He earns $1,512 in 6 weeks.

The amount of money he earns in 6 weeks is equal to $1512.

Given the following data:

Salary = $9 per hourNumber of hours worked = 28 hours each week.

To find the amount of money he earns in 6 weeks:

First of all, we would determine the amount of money he earns each week:

[tex]Weekly\;salary = Salary \times Number \;of \;hours \;worked\\\\Weekly\;salary =9\times 28[/tex]

Weekly salary = $252

In 6 weeks:

Total salary = [tex]252\times6[/tex]

Total salary = $1512

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guys what is the answer 3/8+4/5

Answers

Answer:

the answer would be 47/40

Answer:

1 ⁷/40

find lcm of the denominators (the bottom numbers) 8&5

lcm is 40

ask your self how many times can 40 be divided by 8? 5 times good job .

so you multiply top & bottom of 3/8 by 5

3×5=15 8×5=40

we now get a new fraction 15/40

ask your self how many times can 40 be divided by 5? 8 times very good !

so you multiply top & bottom of tht fraction by 8

4×8=32 5×8=40

new fractions are 15/40 & 32/40

we did all of that to get fractions with the same denominator because fractions with like denominators are easy to add you add the top numbers & keep the bottom.

15+32=47

47/40 now this fraction can be simplified to a mixed number

ask yourself how many times can 40 go into 47 ? one time

40×1 =40 & there are 7 remainders & you just keep the denominator the same .

1 ⁷/40

In which type of triangle is the orthocenter on the perimeter of the triangle?

a right triangle
an acute triangle
an obtuse triangle
an equilateral triangle

Answers

Answer:

its a right triangle

Step-by-step explanation:

i just took the test

Answer: Yes, I can confirm it is right triangle!

|4*(6-10)| algebra
--------------

Answers

Answer:

16

Step-by-step explanation:

6-10=-4

4*-4=-16

abs(-16)=16

Answer:

|4(6-10)|

|4(-4)|

|-16|=16

Step-by-step explanation:

do parentheses firstdo multiplication

the answer is 16 because the distance of a number from zero is positive not negative.

simplify numeric expression 4x(1.5+1.5)+5.75​

Answers

Answer:

17.75

Step-by-step explanation:

4(1.5+1.5)+5.75

4(3)+5.75=12+5.75=17.75

Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.

y = −3x − 13
y = −3x + 11
y = −3x + 13
y = −3x + 1

Answers

Answer:

y = -3x + 1

Step by step (I hope I don't confuse you):

1. First, look for the equation that has a slope of -3. In this case, it's all of them because they all have -3 before the x value.

2. Then look for what's given:

The y of (2, -5) is negative. If the x is 2, that means that the slope has moved down 3 units twice. (-3 is the slope. -3 x 2 is -6.)

3. Now see what equation will have -5 when you subtract 6 from it's y intercept.

y = 3x + 11. 11 - 6 is 5, not -5. this one is wrong.y = 3x - 13. -13 - 6 is -19, also incorrect.y = 3x + 1. 1 - 6 is -5, so this is the correct answer.

Hope you found this helpful.

The equation of line is y= -3x + 1.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

point (2, - 5) with a slope of −3.

Using slope- intercept form

y = mx + c

-5 = (-3) (2) + c

-5 = -6 + c

c = -5 + 6

c= 1

So, the equation of line is y= -3x + 1

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How do I do this whole equation

Answers

Answer:

x = - g - c + y or g+c-y=x

Step-by-step explanation:

Answer:

x = g + c - y

Step-by-step explanation:

[tex]g=x-c+y\qquad\text{add}\ c\ \text{to both sides}\\\\g+c=x-c+c+y\\\\g+c=x+y\qquad\text{subtract}\ y\ \text{from both sides}\\\\g+c-y=x+y-y\\\\g+c-y=x\to x=g+c-y[/tex]

Help with geometry, Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

it is 9.8 yards wide or 1.8 which is 9.8

Which expression is equivalent to (x^6×x^10/×^-3)^2 and why?

Answers

Answer:

The solution for the given expression is [tex]x^{38}[/tex] , i.e option C

Step-by-step explanation:

Given expression as :

[tex](\dfrac{x^{6}\times x^{10}}{x^{-3}})^{2}[/tex]

Now, From the common radix method

∵ In multiplication of radix , if the radix is same , then power is added

I.e [tex]x^{6}\times x^{10[/tex] = [tex]x^{6+10}[/tex]

Or , [tex]x^{6}\times x^{10[/tex] = [tex]x^{16}[/tex]

Now, The expression can be written as

[tex](\frac{x^{16}}{x^{-3}})^{2}[/tex]

And In Division of radix , if the radix is same , then power is subtracted

So, [tex]\frac{x^{16}}{x^{-3}}[/tex]

Or, [tex]x^{16 - (-)3}[/tex]

Or,  [tex]x^{16 + 3}[/tex]

or, [tex]x^{19}[/tex]

∴ The expression is now

[tex](x^{19})[/tex]²

Now, again this is written as

[tex]x^{19}[/tex] × [tex]x^{19}[/tex]

I.e here again the radix is same and in multiple for, so, power is added

∴ [tex]x^{19}[/tex] × [tex]x^{19}[/tex]  = [tex]x^{19+19}[/tex]

I.e [tex]x^{19}[/tex] × [tex]x^{19}[/tex] =  [tex]x^{38}[/tex]

Hence The solution for the given expression is [tex]x^{38}[/tex] , i.e option C  . Answer

- 18 = x-6

solve for x.

Answers

Answer:

x=-12

Step-by-step explanation:

-18=x-6

-18+6=x--6+6

-12=x

-18 = x - 6

First, do the opposite, so add 6 to both sides.

-18 + 6 = x

Now that x is alone, solve -18 + 6.

-18 + 6 = -12

Therefore..

X = -12

Lashonda bought a desk on sale for $159.60. This price was 62% less than the original price. What was the original price?

Answers

p - 62%p = %=$159.60

p - 62p/100 = $159.60

100p - 62p = $15960

38p = $15960

p = $15960/38

p = $420

III.
a small appliance manufacturer finds that if the firm produces and sells x blenders
monthly, the total monthly profit P (in dollars) is given by
P(x) = 8x + 0.3x2 - 0.0013x3 - 372.
ne owner wants to produce no more than 225 blenders/month in order to maintain quality
(SLO #1, 2, 6)
a. Find the y-intercept and explain what it means in this context.

Answers

Answer:

The y-intercept is - 372 and it means that if the manufacturers do not produce and sell any blenders they will have a loss of $ 372.

Explanation:

The polynomial that represents the function is:

[tex]P(x)=8x+0.3x^2-0.0013x^3-372[/tex]

Where the variable, x, represents the number of blenders produced and sold monthly, and P(x) is the monthly profit in dollars obtained for the sale of x blenders.

As for the question, the y-intercept is the point on the graph where the function crosses the y-axis, i.e. where the input of the function is x = 0.

Therefore, the y-intercept is the value of the function for x = 0, P(0), and it is found by substituting 0 for x in the polynomial function, which is shown next:

[tex]P(0)=8(0)+0.3(0)^2-0.0013(0)^3-372=-372[/tex]

The meaning of this value is that the firm loses $372 when it does not produce and sell any blenders.

Can someone help me with this????? The question is attached in the image

Answers

Answer:

See explanation

Step-by-step explanation:

Since [tex]\overline{CB}[/tex] is parallel to [tex]\overline {ED},[/tex] then

angles EDF and CBF are congruent as alternate interior angles when parallel lines  [tex]\overline{CB}[/tex] is parallel to [tex]\overline {ED}[/tex] intersect by transversal DB;angles DEF and BCF are congruent as alternate interior angles when parallel lines  [tex]\overline{CB}[/tex] is parallel to [tex]\overline {ED}[/tex] intersect by transversal CE.

Consider triangles CBF and EDF. In these triangles:

[tex]\angle EDF\cong \angle CBF[/tex] (proven);[tex]\angle FED\cong \angle FCB[/tex] (proven);[tex]\overline{CB}\cong \overline {ED}[/tex] (given).

Thus, triangles CBF and EDF are congruent by ASA postulate.

STATE THE DOMAIN OF EACH OF THE FOLLOWING RELATIONS.

1.7) {(x, y): x = root y}
Domain ………

1.8) {(r, s): s = (2r -5)/13r }
Domain ………

1.9) {(a, b): ab = 12}
Domain ………​

Answers

Step-by-step explanation:

1.7) x = √y

The square root must be non-negative, so the domain is x ≥ 0, or in interval notation, [0, ∞).

1.8) s = (2r − 5) / (3r)

The denominator can't be 0, so r can't be 0.  So the domain is r ≠ 0, or in interval notation, (-∞, 0) (0, ∞).

1.9) ab = 12

Solve for b: b = 12/a

The denominator can't be 0, so a can't be 0.  So the domain is a ≠ 0, or in interval notation, (-∞, 0) (0, ∞).

The figure below is a rhombus.
z = [ ? 10​

Answers

Answer:

27

Step-by-step explanation:

x=90 because it's a rhombus

Answer:

27 degrees

Step-by-step explanation:

one property of a rhombus is that the diagonals makes an 90 degree angle. so x= 90 degrees. the angle above x is also 90 degrees as well and since angles in a triangle add up to 180, we do 180-63-90, to get z which is 27 degrees

nd
A farmer has 113 sheep.
47 of them are males. How
many more female sheep
are there than male sheep?

Answers

Answer:

19 more female sheep.

Step-by-step explanation:

Answer:

66 more female sheep.

Step-by-step explanation:

What you do is subtract 113 subtract 47 which is 66 and if you want to make sure add,66+47.

Gina recently got an 10% raise on her salary. If Gina used to make $25 per hour, what is her new salary?

Answers

Answer:

Her new salary is $27.5.

Step-by-step explanation:

25*0.10=2.5

2.5+25=27.5

30 points!! Please help me ASAP!! I don't understand this.


ABCD is a trapezoid with midsegment (EF). If AD=5x-11, EF=3x+7, BC=2x+7, how many units in length is (EF)?

Answers

Answer:

[tex]EF=61\ units[/tex]

Step-by-step explanation:

we know that

In this problem, the length of the mid-segment EF is the sum of the two bases divided by 2

so

[tex]EF=\frac{1}{2}(BC+AD)[/tex]

substitute the given values

[tex]3x+7=\frac{1}{2}(2x+7+5x-11)[/tex]

Solve for x

[tex]6x+14=(7x-4)[/tex]

[tex]7x-6x=14+4[/tex]

[tex]x=18[/tex]

Find the length of EF

[tex]EF=3x+7[/tex]

substitute the value of x

[tex]EF=3(18)+7[/tex]

[tex]EF=61\ units[/tex]

If x+3=5, what is the value of 2(x+4)?

Answers

if X+3=5 then that means that X would be equal to 2
So the equation would be 2(2+4)
2 multiplied by 2 would be 4 and 2 multiplied by 4 would be 8
You would be left with
4+8 which equals 12
Final answer:

x equals 2, and substituting x=2 into the equation 2(x+4) gives us the result 12.

Explanation:

To determine the value of 2(x+4), we begin by solving the equation x+3=5. Subtracting 3 from both sides yields x=2. Substituting this into 2(x+4), we get 2(2+4), which simplifies to 2(6). Multiplying, we find the result to be 12. The process involves solving for x by isolating it in the initial equation, then substituting this value into the expression we seek to evaluate. In this case, x=2, making 2(x+4) equal to 2 times the sum of 2 and 4, resulting in 12. This algebraic approach allows us to systematically find the desired value based on the given information.

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If the graph of function g is 6 units below the graph of function f, which could be function g? f(x) = -2x + 7 A. g(x) = -2x + 1 B. g(x) = -2x − 6 C. g(x) = -6x + 7 D. g(x) = -2x + 20

Answers

Answer:

A. [tex]g(x)=-2x+1[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=-2x+7[/tex]

The function [tex]f(x)[/tex] is shifted 6 units below which forms the function [tex]g(x)[/tex]

To find the function [tex]g(x)[/tex], we apply the following translation rules:

[tex]f(x)\rightarrow f(x)+c[/tex]

If [tex]c>0[/tex] the function [tex]f(x)[/tex] shifts [tex]c[/tex] units up.

If [tex]c<0[/tex] the function [tex]f(x)[/tex] shifts [tex]c[/tex] units down.

Since the function [tex]f(x)[/tex] is shifting 6 units below, thus value of [tex]c<0[/tex] which is taken as  -6.

The translation occurring here is given by:

[tex]f(x)\rightarrow f(x)-6[/tex]

Thus,

[tex]g(x)=f(x)-6[/tex]

Substituting [tex]f(x)=-2x+7[/tex]

[tex]g(x)=-2x+7-6[/tex]

∴ [tex]g(x)=-2x+1[/tex]

How do you simplyfy -x squared + 4/2x

Answers

Answer:

The solution for the given expression is 0 ,  2

Step-by-step explanation:

Given expression as :

- x² + [tex]\frac{4}{2}[/tex] x = 0

or, - 2 x² + 4 x = 0

or, 2 x ( -x + 2 ) = 0

or, ( - x + 2 ) ( 2 x ) = 0

or, 2 x = 0

∴  x = 0

and ( - x + 2 ) = 0

Or, - x = - 2

∴   x = 2

Hence The solution for the given expression is 0 ,  2  Answer

A simple question:


Is a vector made like or ?

Answers

Answer:

A vector is a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.

Solve the following
2.87 x 7.8 =

Answers

Answer:

22.386

Step-by-step explanation:

10 5/12- 12 7/12 = in simplest form

Answers

Answer:

-13/6 or (in mixed number form) -2 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=10+512−12−712

Solving the whole number parts

10−12=−2

Solving the fraction parts

512−712=−212

Reducing the fraction part, 2/12,

−212=−16

Combining the whole and fraction parts

−2−16=−216

Another way to do it:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

125/12−151/12

Applying the fractions formula for subtraction,

=(125×12)−(151×12) / 12×12

=1500 − 1812/ 144

=−312/144

Simplifying -312/144, the answer is

=−2 1/6

Which of the following numbers would you subtract from each side of the equation x + 12 = 17 + 3 to get the variable by itself?


17


12


3


1/12

Answers

Answer:

you will subtract 17 from both sides to get the variable by itself.

Step-by-step explanation:

x+12=17+3.

subtract 12 from both sides

Gary’s pet gorilla eats all the time. He eats 5/6 pound of food in 1/4 of an hour. How much food does he eat in an hour

Answers

Answer:

5/16

Step-by-step explanation:

1/4 x 5/4=  5/16

(just multiply it, straight across.)

Explanation:

5/6 • 4

The reason why I did this is because it gives us how much Gary eats in 1/4 of an hour so you need to find the amount he eats in 1 full hour.

Then you get...

20/6

Which simplifies to:

3 2/6 = 3 1/3



Final Answer:

3 1/3 lbs

according to the blueprint, the floor area of the stage in the new auditorium at your college must be rectangular and equal to 1200 square feet. The width of the stagr is key to all of the theatre priductions. therefore, in this situation, the stages depth is a function of its width.

Answers

Answer:

[tex]d = \frac{1200}{w}[/tex]

Step-by-step explanation:

According to the blueprint, the floor area of the stage in the new auditorium at my college must be rectangular and equal to 1200 sq. feet.

If the width of the stage is w feet and depth of the stage is equal to d feet, then being a rectangle, we can write  

[tex]d \times w = 1200[/tex]

Therefore, the equation that represents the depth d as a function of width w is given by [tex]d = \frac{1200}{w}[/tex] (Answer)

Answer:

the correct answer d=1200[tex]d=1200/w[/tex]

Step-by-step explanation:

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of
of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to
skip crocheting some days so she can volunteer in other ways.
Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.
How many days can Darcie skip to still meet her goal?

Answers

Answer:

I believe it's 15 days

Answer:

The maximum number of days that she can skip crocheting is s = 57

Step-by-step explanation:

Darcie wants to crochet a minimum of 3 blankets.

She can crochet at a rate of a blanket per day, so she makes 1 blanket in one day.

She has a total of 60 days to work.

If X is the number of days that she works, we can write it as:

X ≥ 3

This means that she works at least 3 days, so she makes at least 3 blankets.

X < 60

This means that she not can work 60 days or more, in this way she has at least one day to do another volunteer job.

then

3 ≤ X < 60

then we have:

1 ≤ s ≤ 60 - 3 = 57

where s is the days that she can skip, where the less or equal sign is used because we have a bigger or equal sign previously.

The maximum number of days that she can skip

The maximum number of days that she can skip crocheting is when the right equality is true, so s = 57.

The equation SA = 2B + Ph represents the surface area of a triangular prism. Which of the following describes the meaning of Ph?

Answers

Answer:

The product of the perimeter of the triangle and the height of the prism

Step-by-step explanation:

The options of the question are

The product of the perimeter of the triangle and the height of the prism

The product of the perimeter of the side times the height of the triangle

The product of the perimeter of the triangle and the height of the triangle

The product of the perimeter of the side times the height of the prism

we know that

The surface area of a triangular prism is

[tex]SA=2B+Ph[/tex]

where

B is the area of the triangular base

P is the perimeter of the triangular base

h is the height of the triangular prism

The term 2B represent the area of the top and the bottom of the triangular prism

The term Ph represent the lateral area of the triangular prism (The product of the perimeter of the triangle and the height of the prism)

Answer:

B is the volume of the base

Step-by-step explanation:

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Which of the following is part of the M2 definition of the money supply, but not part of M1? a. Currency in circulation. b. Money market mutual fund shares. c. Currency held in banks. d. Checkable deposits. What must happen before acetyl CoA can be formed during respiration?A. Lactic acid formationB. GlycolysisC. FermentationD. The Krebs cycle write 15 sentences paragraph on yur favorite book,film or documentary Which is the BEST explanation for the reason our "Founding Fathers" built a system of checks and balances into our government?They wanted to make sure that only well-educated, wealthy citizens held political power in America's government.EliminateB)They saw the need to balance political power between "free" states in the North and "slave" states in the South.C)They wanted to prevent the abuses of power that America experienced while under control of the British government.D)They felt that a system of "checks and balances" would help the executive branch become the most powerful of the three branches. Select all that apply.Which of the following are characteristics of heterogeneous mixtures? A group of students were testing different insulators. They used three metal cans, one wrapped with bubble wrap, a second with a paper towel, and third unwrapped. Equal amounts of hot water were poured into each can and the temperature was noted at definite time intervals. The data is shown in the table.From the data, they concluded that bubble wrap was the best insulating material. What is the weakness in the conclusion?A)It is the better of two insulators only; it is not the best insulator.B)The experiment should have been continued till the temperatures of the cans reached 0C.C)The experiment must be repeated at least three times before this conclusion can be drawn.D)The data on the can without insulator is irrelevant and distracts from the main idea of the experiment. I need help with this please! Paddle Paradise, Inc. sells 2,000 canoes per year at a sales price of $ 460 per unit. It sells in a highly competitive market and uses target pricing. The company has calculated its target full product cost at $ 810,000 per year. Fixed costs are $ 320,000 per year and cannot be reduced. What is the target variable cost per unit assuming units sold are equal to units produced? 3/5 with an exponent of 4 Points A and B lie in plane R Line AB does not lie in plane RIalwayssometimesnever How to say Im listening to music Each person in a simple random sample of 1,800 received a survey, and 267 people returned their survey. How could nonresponse cause the results of the survey to be biased?-Those who did not respond reduced the sample size, and small samples have more bias than large samples.- Those who did not respond caused a violation of the assumption of independence. -Those who did not respond are indistinguishable from those who did not receive the survey. -Those who did not respond may differ in some important way from those who did respond. -Those who did not respond represent a stratum, changing the random sample into a stratified random sample. The characteristic of the human immunodeficiency virus (HIV) that makes it different from other RNA viruses is that it: a. inserts into the DNA of the host b. can synthesize DNA from an RNA template c. is infectious as a DNA single-stranded virus d. causes hepatitis e. synthesizes mRNA from a DNA double-stranded molecule One difference between mixtures and pure substances is that Based on the lesson,what can you infer About Buddhist. Carney Company manufactures cappuccino makers. For the first eight months of 2019, the company reported the following operating results while operating at 80% of plant capacity: Sales (500,000 units) $90,000,000 Cost of goods sold 54,000,000 Gross profit 36,000,000 Operating expenses 24,000,000 Net income $12,000,000 An analysis of costs and expenses reveals that variable cost of goods sold is $95 per unit and variable operating expenses are $35 per unit. In September, Carney Company receives a special order for 40,000 machines at $135 each from a major coffee shop franchise. Acceptance of the order would result in $10,000 of shipping costs but no increase in fixed expenses. Collapse question part (a) Prepare an incremental analysis for the special order. Which of the following best describes Roosevelt's beliefs about U.S. foreign policy in Latin America?A. American interests were best focused on domestic policies.B. The U.S. had no need to expand its influence in Latin America.C. The U.S. had no need to interfere in Central and South America.D. American interests benefited the rest of the Western Hemisphere. Two electrons 1 and 2 move along antiparallel paths separated by a distance of 10 nm, traveling at speeds 4.5 x 10^7 m/s and 8.0 x 10^6 m/s. Part A) What is the magnitude of the magnetic force exerted by electron 2 on electron 1? Express your answer with the appropriate units. The policy that kept the united states out of the war for three years was called Who is to get enough money to go on a field trip, every student in a club has to raise 53 by selling chocolate bars. There are 9 students in the club how much money does the club need to raise to go on the field