What is the greatest common factor of
ax^2+ax+a

Answers

Answer 1

Answer:

The GCF is a.

General Formulas and Concepts:

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

ax² + ax + a

Step 2: Condense

Factor GCF:                     a(x² + x + 1)

Related Questions

Hi! please help me the blue line is what I have to find.​

Answers

Answer:

Pretie sure answer is 0

Step-by-step explanation:

first you take the 1 and subtract it from -3

which is -2 then add the other 2 to the -2 which is 0

then you devide 5 with 5 and 5 with zero which leaves you with zero and 0=x

a train is running at a speed of hundred kilometre per hour how much distance will it run in 12 minutes​

Answers

Step-by-step explanation:

In an hour, there are 60 minutes.

100km * (12/60) = 20km.

Hence the train runs 20km in 12 minutes.

Sales of video games and consoles fell from $1.15million to $1.03 million in 1 year. Find the percent decrease. Round the answer to the nearest tenth of a percent.

Answers

Answer:

Percent decrease = 10.43% (Approx)

Step-by-step explanation:

Given:

Old price = $1.15 million

New price = $1.03 million

Find:

Percent decrease

Computation:

Percent decrease = [(Old price - new price)/Old price]100

Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100

Percent decrease = [($0.12 million)/$1.15 million]100

Percent decrease = 10.43% (Approx)

Select the statement that indicates that the triangles in each pair are congruent. 50 points

Answers

Answer:

C) ΔEFG ≅ΔLMN

Step-by-step explanation:

C) ΔEFG ≅ΔLMN

Choose all the equations that are true if x=9

Answers

Answer:

A, C, E

Step-by-step explanation:

I don't really know how to explain it but you can kinda substitute 9 for the variable to confirm if you want.

The following shape is a rhombus. Find the measure of each unknown angle:

90
52
38
46
72

Answers

Answer:

63 42

53

53

52

Jdjdjdjfh

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°m∠DPA = 38°m∠PAB = 52°m∠PCD = m∠PCB = 52°mABP = m∠CBP = 38°.

Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.

By using property - 1,

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°

Apply triangle sum theorem in ΔAPD,

m∠DAP + m∠APD + m∠DPA = 180°

52° + 90°+ m∠DPA = 180°

m∠DPA = 38°

By using property - 3,

m∠PDC = m∠DPA = 38°

m∠PAB = 52°

By using property - 2,

m∠ADC + m∠DCB = 180°

2(38°) + m∠DCB = 180°

m∠DCB = 104°

Therefore, m∠PCD = m∠PCB = [tex]\frac{104}{2}[/tex] = 52°

m∠DAP = m∠BAP = 52°

Since, m∠ADC = m∠ABC = 76°

Therefore, mABP = m∠CBP = [tex]\frac{76}{2}=38^\circ[/tex]

         Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.

Learn more about rhombus here,

https://brainly.com/question/11812488?referrer=searchResults

Please help quick! Proportions & Graphs

Answers

Answer:

1. No

2. No

3. Yes

4. No

Step-by-step explanation:

The first one isn't  proportional because it doesn't  start at 0

The second one isn't proportional because there isn't  a pattern between  the coordinates

The 3rd one is a proportional relationship because it starts at 0 and there is an equal amount of space between each coordinate and there is evidentially a pattern.

Finally, the  4th one isn't proportional because the last coordinate doesn't correspond w/ the others

Plz mark me brainliest if correct :)

You are stuck at the Vince Lombardi rest stop on the New Jersey Turnpike with a dead battery. To get on the road again, you need to find someone with jumper cables that connect the batteries of two cars together so you can start your car again. Suppose that 16% of drivers in New Jersey carry jumper cables in their trunk. You begin to ask random people getting out of their cars if they have jumper cables. Use Scenario 6-17. On average, how many people do you expect you will have to ask before you find someone with jumper cables

Answers

Answer:

The expected number of people you will have to ask before you find someone with jumper cables is 6.25.

Step-by-step explanation:

The geometric distribution is the distribution of the number of X Bernoulli trials required for one success. If the one success requires k independent trials, each with the probability of success as p, then the probability that the kth trial is the one success is:

        [tex]p_{X}(k)=(1-p)^{k-1}p;\ k={1, 2, 3...}[/tex]

The geometric distribution is the distribution of the number of Y = X – 1 failures required before the first success. If the first success requires k failures, each trial with the probability of success as p, then the probability that the 1st success occurs after k failures is:

        [tex]p_{X}(k)=(1-p)^{k}p;\ k={0, 1, 2, 3...}[/tex]

In this case the first scenario follows.

X = number of people you will have to ask before you find someone with jumper cables.

p = 0.16

Compute the expected number of people you will have to ask before you find someone with jumper cables as follows:

[tex]E(X)=\frac{1}{p}\\\\=\frac{1}{0.16}\\\\=6.25[/tex]

Thus, the expected number of people you will have to ask before you find someone with jumper cables is 6.25.

The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe.

Answers

Answer:

Giraffe = 10

Guinea Pig = 4

Tiger = 16

Step-by-step explanation:

G       GP      T                                  = 30

----------------------------------------------------------

X      X-6     (X-6)*4

-----------------------------------------------------------

9         3         12                               = 24

----------------------------------------------------------

10       4         16                               = 30 ✅

----------------------------------------------------------

What is the area of this

Answers

The person above me is correct

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -2.674°C.

P ( Z > −2.674) = ???

Answers

Answer:

Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.

Step-by-step explanation:

Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.

Given a point A(-3,-14, it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?

Answers

The question was rewritten because it has an obvious mistype.

Answer:

The coordinates of B' are (-3,-15)

Step-by-step explanation:

We are given the point A(-3,-1) and we know it was dilated to the point A'(-9,-3) by some scale factor.

The scale factor can be found by dividing each coordinate of A' by the same coordinate of A. Let's call the factor as k:

k = -9/(-3) = 3

k = -3/(-1) = 3

Thus the scale factor is 3.

If we apply the same factor to B(-1,-5), we get the coordinates of B' as:

B'( 3*(-1) , 3*(-5) ) = B'(-3,-15)

The coordinates of B' are (-3,-15)

Write the following in point-slope form using the given information: Slope: 2 points
1/15; Point: (3,-5)

Answers

Answer:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Step-by-step explanation:

Given

[tex]m = \frac{1}{15}[/tex] -- Slope

[tex](x_1,y_1) = (3,-5)[/tex] --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for y1, x1 and m

[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Hence, the equation in point slope form is:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Solving further to represent the equation in slope-intercept form, we have:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}x - \frac{1}{15}*3[/tex]

[tex]y+5 = \frac{1}{15}x - \frac{1}{5}[/tex]

Make y the subject

[tex]y= \frac{1}{15}x - \frac{1}{5}-5[/tex]

[tex]y= \frac{1}{15}x - (\frac{1}{5}+5)[/tex]

[tex]y= \frac{1}{15}x - (\frac{1+25}{5})[/tex]

[tex]y= \frac{1}{15}x - (\frac{26}{5})[/tex]

[tex]y= \frac{1}{15}x - \frac{26}{5}[/tex]

5/6 divided 2/3 pls help

Answers

Answer:

exact form:  -5/4

Decimal Form: -1.25

Step-by-step explanation:

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation: (-3,-2) y=x+2

Answers

Given :

A point ( -3 , -2 ).

An equation of a line, y = x + 2.

To Find :

An equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.

Solution :

Let, equation of new line is :

y = mx + c     ....1)

Here, m and c are slope and intercept respectively.

We know, product of slope of two line is -1 :

m( 1 ) = -1

m = -1

It is also given that point ( -3,-2 ) passes through this point.

Putting value of this point and slope in equation 1), we get :

[tex]-2 = (-1)\times ( -3 ) + c\\\\c = -2 -3\\\\c = -5[/tex]

Therefore, the equation of line is : y = -x -5 .

Nate biked 56 miles in 4hours. what was Nates average speed for 1 hour?

Answers

The answer to this one is simple.
An equation to model with would be
? * 4 = 56.

To find ? All you have to do is divide 56 by 4.

So the answer to your question is 14 miles per hour.

Hope I did this right and hope I helped you :))))

What's this? I don't know

Answers

Answer:

it's a quadratic formula

Step-by-step explanation:

in the formula, substitute the value of a as 1, b as 2 and c as -8

then, you will get ur answer

42.1 in expanded form

Answers

Answer:

40+2+0.1

Step-by-step explanation:

im so confused how to get the answer.​

Answers

Answer:

A

Step-by-step explanation:

9 items at $50 each would be 9 × $50 = $450, which is more money than he has.

A because 9x50 is 450 which is

A conical water tank with vertex down has a radius of 10 feet at the top and is 24 feet high. If water flows out of the tank at a rate of 20 ft3/min, how fast is the depth of the water DECREASING when the water is 6 feet deep?

Answers

Answer:

Depth of water is increasing at 0.143 ft/min.

Step-by-step explanation:

I need help bad I will mark you as king or what every pkz get it right I can’t get it right plz help

Answers

Answer:

d=6c it looks like. good luck

RIGHT TRIANGLES & TRIGONOMETRY MATH
TOMMOROW DUE PLZZZ

Answers

Answer:

sin d= 20/29

cos d= 21/29

tan d= 20/21

sin e= 21/29

cos e= 20/29

tan e= 21/20

7) x=47  (25tan(62))

8) x=25.1 (11/sin(26))

9) x=23.8 (32sin(48))

10) x=29.6 (29/cos(12))

11) x=21 degrees (invcos(14/15))

12) x=39.6 degrees (invtan(19/23))

13) x=58 degrees (invcos(9/17))

14) x=72.9 degrees (invsin43/45))

Step-by-step explanation:

good luck m8 it gets harder trust me

also srry if something is wrong im so exhausted thxbye

If f(x) = x/2 - 3 and g(x) = 4x ^ 2 + x - 4 , find (f + g)(x)

Answers

4x^2+3/2x-7
Work shown in attached picture

John has 16 boxes of apples. Each box holds 14 apples. If 8 of the boxes are full, and 8 of the boxes are half full, how many apples does John have?
A. 44
B. 112
C. 224
D. 168

Answers

Answer:112

Step-by-step explanation:multiply and divide for your answer

The solution of 4(x + 1) = 4(2 – x)

Answers

4x+4=8-4x

4x+4x=8-4

8x=4

x=4/8

x=1/2

Step-by-step explanation:

4x+4=8-4x

4x+4+(4x)=8-4x+(4x)

8x+4-(4)=8-(4)

8x÷(8)=4÷(8)

x=0.5 or 1/2

A 1000-liter tank initially contains a mixture of 450 liters of cola and 50 liters of cherry syrup. Cola is added at the rate of 8 liters per minute, and cherry syrup is added at the rate of 2 liters per minute. At the same time, a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute. Let S(t) be the amount (measured in liters) of cherry syrup in the tank at time t, where t is measured in minutes.(a) Formulate an initial-value problem for the the amount of cherry syrup in the tank overtime.(b) Solve the initial-value problem using an integrating factor.(c) What percentage of the mixture is cherry syrup when the tank is full?

Answers

Answer:

A) dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) S(t) = (100 + t) - 5000/(100 + t)

C) 35%

Step-by-step explanation:

A) Let;

t = time in minutes

S = amount of syrup

dS/dt = rate at which syrup is flowing through tank

We are told that initially, the tank contains a mixture of 450 liters of cola and 50 liters of cherry syrup.

Thus,

At t = 0

Amount of cola = 450 litres

Amount of syrup = 50 litres

Total mixture = 450 + 50 = 500 litres

We are told that a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute.

Thus, amount of liquid in the tank at a time "t" is; 500 + 5t

We are told that cherry syrup is added at the rate of 2 liters per minute.

Thus, rate at which syrup is flowing through tank is given as;

dS/dt = 2 - 5[S/(500 + 5t)]

Factorizing out, we have;

dS/dt = 2 - 5[S/5(100 + t)]

5 will cancel out to give;

dS/dt = 2 - S/(100 + t)

Since we have 50 liters of cherry syrup initially, the initial value problem is;

dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) We have our initial value problem as;

dS/dt = 2 - S/(100 + t)

Rearranging, we have;

dS/dt + S/(100 + t) = 2

Multiplying through by 100 + t gives;

(dS/dt)•(100 + t) + S = 2(100 + t)

Integrating each term with respect to t gives;

(100 + t)S = (100 + t)² + c

Divide both sides by (100 + t) to get;

S = (100 + t) + c/(100 + t)

At t = 0;

S(0) = (100 + 0) + c/(100 + 0)

S(0) = 100 + c/100

Recall earlier in our initial value problem where we stated that S(0) = 50.

Thus;

100 + c/100 = 50

Subtract 100 from both sides to givw;

c/100 = 50 - 100

c/100 = -50

c = -50 × 100

c = -5000

Thus;

S(t) = (100 + t) - 5000/(100 + t)

C) The capacity of the tank is given as 1000 liters.

Earlier, we saw that amount of liquid in the tank at a time "t" is; 500 + 5t

Thus;

500 + 5t = 1000

5t = 1000 - 500

5t = 500

t = 500/5

t = 100 minutes

We want to find What percentage of the mixture is cherry syrup when the tank is full.

Thus we will plug in t = 100 minutes into S(t) = (100 + t) - 5000/(100 + t)

Thus;

S(100) = (100 + 100) - 5000/(100 + 100)

S(100) = 200 - 25

S(100) = 175 litres

We saw earlier that total mixture initially was 500 litres.

Thus, percentage of the mixture that is cherry syrup when the tank is full is;

175/500 × 100% = 35%

At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. How much would the sales tax be on a $88 meal?

Answers

$8.36 hope it helped I just used a calculator:) pls brainest

I NEED HELP ASAP
Which equation represents the situation below?

Bry's account was overdrawn by $11.85, so he deposited $11.85 into his account.
A.
(-11.85) + (-11.85) = 0
B.
(-11.85) – 11.85 = 0
C.
11.85 – (-11.85) = 0
D.
(-11.85) + 11.85 = 0

Answers

Answer:

D

Step-by-step explanation:

overdrawn = =negative so -11.85+11.85 or option D

Hope this helps plz hit the crown ;D

A rational Function is a function whose equation contains a rational expression.
True or false?

Answers

The correct answer is True

Answer:

True is correct

Step-by-step explanation:

0.2 <_____< 5/8

Which two numbers would correctly fill in the blank??

A. 1/3

B. 7/9

C. /2

D. 2/7

Answers

Answer:

Letters A. and D. would fill in the blank correctly.

Other Questions
How did the emperors use of state authority and power help build and maintain his empire A) His subjects all had to learn how to create silk so that e could have as many robes as possibleB) His subjects all had to eat the same food to make farming easierC) His subject (men and women) all had to become soldiers so they could conquer EgyptD) His subject all had to use the same money, measurements and writing to lessen confusion and unite the states. In Common Sense, Thomas Paine argues for American independence. His argument begins with more general, theoretical reflections about government and religion, then progresses onto the specifics of the colonial situation. Paine begins by distinguishing between government and society. Mr. West wishes to purchase a condominium for $240,000 in cash upon his retirement 10 years from now. How much should he deposit at the end of each month into an annuity paying 2.7% interest compounded monthly in order to accumulate the required amount compoundelement + element1:Synthesis2:Decomposition3:Single Replacement4:Double Replacement5:Combustion Of Mice and Men:George shoots Lennie. Was Georges decision an act of love or selfishness? Why? How far is a million inches in miles(There are 5,280 feet in 1 mile) Find the y-intercept:-14 - 7y = -7x Which is the correct label of the line?points C and D lie on line a(4 points)Select one:a. There is a horizontal line with arrows on either end over the letters A C.b. There is a horizontal line with arrows on either end over the letters CD.c. Dd. Two vertical lines beside the letter A if 3x+10=4, what is the value of 2+5x? please help a tiger moving with constant accleration covers the distance between two points 70 meter apart in 7 seconds . its speed as it pass the second point 15 meter per second . 1) what is the speed at the first point. 2) what us its accleration River collects old coins. He has fourless than twice as many rare nickels ashe does rare quarters. I the face valueof the coins is $3.65, Which system ofequations can be used to find n, thenumber of nickels, and , the number ofquarters that he has?a) 25n +59 = 36529-4=nb) 5n +59 = 3.6549 +2=nc) 5n + 256 = 36529-4=d) 5n + 259 = 36549-2=ne) 25n +59 = 36549-2=n Which of the following landmarks can be found on the border between Nevada and Arizona? Hoover Dam Williamsburg Historic District Mall of America U.S. Supreme Court Building If x = 8, find the value of 3x Need help on graphing it the answer is -4,0 but how would I graph it on there show me how Could someone help me? I NEED HELP NOW!!!!!! HELP ASAP!!!!!!! The correct answer will be marked brainliestQuestion 20 of 20 Which statement describes a common belief of philosophers Thomas Hobbes and John Locke? A. People have the right to overthrow a government that fails to protect its citizens B. People are inherently evil , depending on strong leaders to protect the interests of everyone. C. People form social contracts, giving up freedoms to a leader in exchange for stability. D. People have basic natural needs which include life, liberty, and property You are participating in a "Secret Gift Exchange" with your friends. You settwo price requirements: You can spend less than $30, but you must alsospend more than 20. Write the compound inequality. * Explain the tax implications of compensation in the form of salary and wages from the perspectives of the employee and employer. Additional short-term borrowings $44,000 Purchase of short-term stock investments 11,100 Cash dividends paid $35,600 Interest paid 17,800 Required:Compute cash flows from financing activities using the above company information. What statement is true about the extreme value of the givin quadratic equation y=-3x^2+12x-30A) the equation has a maximum value with a y-coordinate of -21B) the equation has a minimum value with a y-coordinate of -27C) the equation has a minimum value with a y-coordinate of -21D) the equation has a maximum value with a y-coordinate of -27