Factoize those 2 questions using "ac"method must include all steps

Factoize Those 2 Questions Using "ac"method Must Include All Steps
Factoize Those 2 Questions Using "ac"method Must Include All Steps

Answers

Answer 1

Answer:

(2x + 5)(3x - 7), (x + 4)(x - 2)

Step-by-step explanation:

a = 6, b = 1, c = -35

? × ? = ac = 6 × -35 = - (2 × 3 × 7 × 5)

? + ? = b = 1

3 × 5 -(negative sign from above) 2 × 7 = 15 - 14 = 1 = b

[tex]\frac{1}{6}(6x + 15)(6x + (-14))[/tex]

= [tex]\frac{1}{6}(3)(2x + 5)(2)(3x - 7)[/tex]

= [tex](2x + 5)(3x - 7)[/tex]

a = 1, b = 2, c = -8

? × ? = ac = 1 × -8 = -(2 × 2 × 2) = 4 × -2

? + ? = b = 2

4 + (-2) = 2 = b

[tex]\frac{1}{1}(1x + 4)(1x + (-2))[/tex]

= [tex](x + 4)(x - 2)[/tex]

Factoize Those 2 Questions Using "ac"method Must Include All Steps

Related Questions

A​ "Cobb-Douglas" production function relates production ​(Q​) to factors of​ production, capital ​(K​), labor ​(L​), raw materials ​(M​), and an error term u using the equation ​,
Q= λK^β1L^β2M^βe^μ

where ​λ,β1,β2 ​and β2 and are production parameters. Suppose that you have data on production and the factors of production from a random sample of firms with the same​ Cobb-Douglas production function. Which of the following regression functions provides the most useful transformation to estimate the​ model?

a. A linear regression function.
b. A logarithmic regression function.
c. An exponential regression function.
d. A quadratic regression function.

Answers

Answer:

The correct option is b. A logarithmic regression function.

Step-by-step explanation:

Given:

Q= λK^β1L^β2M^β3e^μ ………………………. (1)

Equation (1) can be transformed into a logarithmic regression function by taking natural log of both sides as follows:

lnQi = lnλ + β1lnKi + β2lnLi + β3lnMi + μInei ……………….. (2)

Where i = 0, 1, 2….n observations.

Let lnλ = β0 and let μIne = εi and then substituting them into equation (2), we have:

lnQi = β0 + β1lnKi + β2lnLi + β3lnMi + εi ......................(3)

Equation (3) is the logarithmic regression function to estimate the model.

Therefore, the correct option is b. A logarithmic regression function.

What is the length of AC?

Answers

The length of AC 90°

6,791,240 6,781,204 which one are greater​

Answers

Answer:

6,791,240>6,781,204

Step-by-step explanation:

Solve the proportion then around your answer to the nearest hundredth

Answers

Answer:

[tex] \frac{6.3}{x} = \frac{2.56}{9.3} \\ x = \frac{6.3 \times 9.3}{2.56} \\ x = 22.89[/tex]

Answer:

x = 22.89

Step-by-step explanation:

6.3 / x = 2.56 / 9.3

Cross multiply

58.59 = 2.56x

Divide both sides by 2.56

22.88671875 = x

Round

x = 22.89

A film on TV starts at 8:30 pm. If the film takes 136 minutes, at
what time does it end?

Answers

Answer:

10:46

Step-by-step explanation:

8:30 + 136 min.

= 8:30 + 2:16

= 10:46

the position vectors of points A and B of a line AB are (1 2) and (5 8) respectively . find the position vector of mid poind M of AB.​

Answers

Answer:

(3,5)

Step-by-step explanation:

Mid-point = (1i+2j+5i+8j)/2

=(6i+10j)/2

=3i+5j

=(3 5)

Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||

Answers

Answer:

[tex]||AB|| = 11.8743[/tex]

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Distance from A(-8,-3,-2) and B(-4,8,0)

[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]

[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]

[tex]||AB|| = 11.8743[/tex]

P and q are points on the line 2y-5x=10

Answers

Answer:

[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]

Given lim f(x) = 4. What is lim
X-0
X-0
x5 [F(x)]* ?
оо
O 4
O 64
128

Answers

Answer:

64

Step-by-step explanation:

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

The solution is : 64 is limit.

What is limit?

In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

here, we have,

Given lim f(x) = 4.

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

Hence, The solution is : 64 is limit.

To learn more on limit click:

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Plz help me well mark brainliest if correct,.........??

Answers

Answer: A

Step-by-step explanation:

Because to find the area I multiplied and got 72 then I looked up how to find them perimeter

Answer:

both A and B

Step-by-step explanation:

a's perimeter is 36 (6+6+12+12)

b's perimeter is 36 (4+4+14+14)

c's perimeter is 34 (9+9+8+8)

all the options equal to 72 sq. centi. if u multi

6*12=72

4*14=72

9*8=72

which of the following inequities are true?
Select the TWO correct answers.

A: |4| > 7
B: |-4| < 4
C: |-7| > |4|
D: |7| > |-7|
E: |-4| < |-7|

Answers

Answer:

c and e ................

I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!

Find the area of the polygon:

Answers

Answer: i can give you tips of how to find the area of a polygon.

OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

Step-by-step explanation:

And you have to add all the sides of the lengths of the sum of the polygon

A political poll finds that 305 out of 600 (50.8%) of a random sample of likely voters are in favor of the Democrat over the Republican prior to a recent local election between the two candidates. The p-value from a two-sided test of whether the population proportion is different than 50% is 0.714.

1. Which of the following could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate?

a. (46.8%, 54.8%)
b. (50.1%, 58.0%)
c. (53.0%, 61.0%)

2. When should you use the median as a summary statistic instead of the mean?

Answers

Answer:

1)

Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

Step-by-step explanation:

Given the data in the question;

Null hypothesis             H₀ : p = 50% or 0.5

Alternative hypothesis Hₐ : p ≠ 50% or 0.5

given that p-value = 0.714

The p-value is large, so we can not reject Null hypothesis.

Thus, p = 50% or 0.5

Meaning that, the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 )

Thus, Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)  

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.


Cher works in retail sales. Her salary is $400 plus 15% commission on weekly
sales.
Find her sales for the week if her wages for the week is $940.

Answers

Answer:

Sales of the week = 3600

Step-by-step explanation:

Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly  sales.

To find - Find her sales for the week if her wages for the week is $940.

Solution -

Let us assume that,

Her sales of the week = x

Now,

Given that, Her salary is $400 plus 15% commission on weekly  sales.

So,

Equation of salary becomes

Salary = 400 + [tex]\frac{15}{100}x[/tex]

i.e.

Salary = 400 + 0.15x          .......(1)

Now,

Given that,

her wages for the week is $940.

i.e. Salary = $940

Put in equation (1), we get

940 = 400 + 0.15x

⇒0.15x = 940 - 400

⇒0.15x = 540

⇒x = 3600

∴ we get

Sales of the week = x = 3600

A dry cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 15 spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject thenull hypothesis that p= 0.7; otherwise, we conclude that p > 0.7.

Required:
a. Evaluate α, assuming that p = 0 .7.
b. Evaluate β for the alternative p = 0.9.

Answers

Answer:

α = 1 - 0,915 = 0.085

β = 0.314

Step-by-step explanation:

Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.

Null hypothesis:

H0 : p = 0.7

If 11 of spot are removed then hypothesis rejected.

If 11 spots are not removed then hypothesis accepted

H1 : p >0/7

X is the number of spot and binomial random variable.

For a)

The probability of committing the type 1 error use alpha such as

α = P ( type I error)

where X > 10

and p = 0.7

for the given values where n = 12 and r = 10 and p - 0.7

we get

α = 1 - 0,915 = 0.085

b)

The nonrejection of the hypothesis where type II error is false .

The hypothesis for this is 0.9

This is Type II error

β = P ( type II error) = P ( X <= 10 where p = 0.9 )

Where n = 12 , r = 10 and p = 0.9

then

β = 0.314

Accounting
A company borrowed $68000 on September 1st, 2020. Principle and interest at 12% will be paid on August 31, No accrual was made for interest in 2020. What is the adjustment for interest.

Answers

Answer: $2,720

Step-by-step explanation:

Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.

In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:

Total interest = 12% * 68,000

= $8,160

Monthly rate is:

= 8,160 / 12 months

= $680

There are 4 months in 2020 so the interest for 2020 is:

= 680 * 4

= $2,720

evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2

Answers

Answer:

[tex]468in^{2}[/tex]

Step-by-step explanation:

L=12

W=9

H=6

2lw+2lh+2wh=468

Many think ts, "oh LWH" well actually lwh is volume

The brown paper required to wrap the package is 468 square inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The diagram shows the package that is cuboid in shape.

The dimensions of cuboid are

The length of the cuboid = 12 in

The wide of the cuboid = 9 in

The height of the cuboid = 6 in

The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,

[tex]A=2(lw+hl+hw)[/tex]

⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]

⇒ [tex]A=2[108+72+54][/tex]

⇒ [tex]A=2[234][/tex]

⇒ [tex]A=468[/tex]

Hence we can conclude that the brown paper required to wrap the package is 468 square inches.

Learn more about cuboid here

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What is the area of this figure?

Answers

Starting with the quarter of a circle
The area of the circle is pi r^2
Area = 113.04 but the quarter of the circle =113.04 / 4= 28.26

Now for the first rectangle,
The area is Lxw
(11+3) x(4) = 56

For the second rectangle,
The area is 14x7 =98

The total area will be 98+56+28.26
= 182.26
161.068525

First cut the figure 3 pieces
To find the smaller rectangle multiply 7 by 4 and get 28
Then multiply 18 by 7 and get 126
Then find the area of the quarter of a circle to find that first fine the area of the circle if it was whole, the formula is A=pi r^2 when you put the numbers into that you get 28.27433. Then divide that by 4 to get the area of the quarter circle which is 7.0685825
Last add all of the answers together.

28+126+7.0685825= 161.068525

Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.
Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 − 100.


Determine how many, what type, and find the roots for f(x) = x^3 − 5x^2 − 25x + 125.

Answers

Answer:

A) - Quartic polynomial

- has four roots

- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) - Cubic polynomial

- has 3 roots

- roots are; f(x) = (x - 5)²(x + 5)

Step-by-step explanation:

A) f(x) = x⁴ + 21x² − 100

The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.

Factorizing this polynomial gives;

f(x) = (x² + 25)(x² - 4)

Equating to zero, we can find the roots. Thus, the roots are;

x = 5i

x = -5i

x = 2

x = -2

Thus, the completely factorized polynomial is;

f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) f(x) = x³ − 5x² − 25x + 125

The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.

Factorizing this polynomial gives;

f(x) = (x² - 25)(x - 5)

Equating to zero and Factorizing gives;

x = 5

x = -5

x = 5

Thus, completely factorized with the roots is;

f(x) = (x - 5)²(x + 5)

Q8. How many solutions does the system of equations have?

Answers

Answer:

it would be the first answer

Step-by-step explanation:

a solution is where the lines meet, and the coorinate is (1,4)

the answer would b A !

Select the correct answer,
Which risk should be avoided for short-term investments?
OA
market risk
OB. liquidity risk
Ос.
credit risk
OD.
business risk

Answers

Answer:

b

Step-by-step explanation:

liquidity risk. because the shorter the term the lesser the liquidity.

4
3
3
2+
-4
-3
-2 -1
1
1
2
3
4
-1+
-2+
-3
-4
What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

rises 2 units and east 3 units

rise / run = 2 / 3

Write the algebraic expression: 4p times the sum of 7 and 5p​

Answers

Answer:

4p(7 + 5p)

Step-by-step explanation:

4p times the sum of 7 and 5p​

4p(7 + 5p)

A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [ ]

Answers

Answer:

-2,-5 is the value. The correct Answer

find the side length x on the right triangle 18 9 x

Answers

Answer:

answer is 15.6

Step-by-step explanation:


11. You conduct a random
sample of 250 of UCLA's entering freshmen and get an average GPA of
a. Find a 95% confidence interval for the average GPA of all of UCLA's entering freshmen.
b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval
support this claim? Explain your reasoning

Answers

Answer:

a) The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b) 4.05 is not part of the confidence interval, which means that it does not support this claim.

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{0.75}{\sqrt{250}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.21 - 0.1 = 4.11

The upper end of the interval is the sample mean added to M. So it is 4.21 + 0.1 = 4.31

The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval support this claim?

4.05 is not part of the confidence interval, which means that it does not support this claim.

pls help. due tmrw. will give brainliest​

Answers

Answer:

0

Step-by-step explanation:

PLEASE HELP MAX POINTS ONE OF THE LAST ASSIGNMENTS IN THE SEMESTER, I HAVE 4 HOURS TO FINISH MY HOMEWORK
can complementary angles be supplementary?

be sure to include a drawing of proof, look at screenshot for more details

Answers

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

A train car has 23 rows that hold 4 seats each. If 3 train cars are coupled together, how many people can the train hold?
O 34 people
O 92 people
276 people
O 2,760 people

Answers

I believe the answer is 92 people

Answer:

276 is the answer

Step-by-step explanation:

23x4=92

92x3=276

Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number

Answers

it would be a rational number
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Which of the following statements about static electricity is true?A.Can ignite flammable fluids.B.Is always present in flammable fluids.C.Generates only harmless sparks.D.Occurs when transferring fluids. At which approximate x-value are these two equations equal y = 1 - x^2 y = 2x - 1 three different accounts are described below. order the accounts to their values after 10 years, from greatest to least. Help find the volume of this equation Need the answer to part a and part b please :) what enzyme has both structural and enzymatic traits What is the best explanation of the 1912 election results? (a) Americans were unwilling to support third party candidates. (b) Woodrow Wilson benefited from a split in the Republican Party. (c) Americans did not want to change Presidents while the country was at war. (d) Minor candidates shifted the victory from Theodore Roosevelt to Woodrow Wilson. A flower box is 3 ft. Long, 2 3/4 ft. Wide, and 1/2 ft. Deep. 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Leave answer as a fraction in simplest form. hey! please help ill give brainliest Why did Jefferson say, We are all Republicans, we are all Federalists? URGENT HELPP!!!NO LINKS On May 13, 2020, Otto, Parker and Quentin bought a parcel of land as tenants in common. The deed provided that Otto owned 1/2 the property and Parker and Quentin each owned 1/4 each. If Quentin dies, the property will be divided as follows:a. Otto 1/2. Parker 1/2 b. Otto 5/8, Parker 3/8 c. Otto 1/3, Parker 1/3, Quentin's heirs 1/3 d. Otto 1/2. Parker 1/4, Quentin's heirs 1/4 Find and explain about the calculating devices used in history. A series of end-milling cuts is currently used to produce an aluminum part that is an aircraft component. The purpose of the machining operation is to remove 95% of the part weight to create a structural frame. A total of 4.0 min is lost during the milling cycle due to tool repositioning. The part has a length = 1.6 m, width=0 m, and mm. 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KEPLER (quoted in The Anatomy of Melancholy)BOOK ONE: THE COMING OF THE MARTIANSCHAPTER ONE: THE EVE OF THE WAR, excerptNo one would have believed in the last years of the nineteenth century that this world was being watched keenly and closely by intelligences greater than man's and yet as mortal as his own; that as men busied themselves about their various concerns they were scrutinised and studied, perhaps almost as narrowly as a man with a microscope might scrutinise the transient creatures that swarm and multiply in a drop of water. With infinite complacency men went to and fro over this globe about their little affairs, serene in their assurance of their empire over matter. It is possible that the infusoria under the microscope do the same. No one gave a thought to the older worlds of space as sources of human danger, or thought of them only to dismiss the idea of life upon them as impossible or improbable. It is curious to recall some of the mental habits of those departed days. At most terrestrial men fancied there might be other men upon Mars, perhaps inferior to themselves and ready to welcome a missionary enterprise. Yet across the gulf of space, minds that are to our minds as ours are to those of the beasts that perish, intellects vast and cool and unsympathetic, regarded this earth with envious eyes, and slowly and surely drew their plans against us. And early in the twentieth century came the great disillusionment.Yet so vain is man, and so blinded by his vanity, that no writer, up to the very end of the nineteenth century, expressed any idea that intelligent life might have developed there far, or indeed at all, beyond its earthly level. Nor was it generally understood that since Mars is older than our earth, with scarcely a quarter of the superficial area and remoter from the sun, it necessarily follows that it is not only more distant from time's beginning but nearer its end.The secular cooling that must someday overtake our planet has already gone far indeed with our neighbour. Its physical condition is still largely a mystery, but we know now that even in its equatorial region the midday temperature barely approaches that of our coldest winter. Its air is much more attenuated than ours, its oceans have shrunk until they cover but a third of its surface, and as its slow seasons change huge snowcaps gather and melt about either pole and periodically inundate its temperate zones. That last stage of exhaustion, which to us is still incredibly remote, has become a present-day problem for the inhabitants of Mars. 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