What is 12x³-9x² - 4x + 3 in factored form?
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The value of [tex]a_{5}[/tex] is 2500, when [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].

Given that, [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].

We need to find the value of [tex]a_{5}[/tex].

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of [tex]a_{5}[/tex] :

[tex]a_{2} =5a_{2-1}=5a_{1}=5 \times4=20[/tex]

[tex]a_{3} =5a_{3-1}=5a_{2}=5 \times20=100[/tex]

[tex]a_{4} =5a_{4-1}=5a_{3}=5 \times100=500[/tex]

[tex]a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500[/tex]

Therefore, the value of [tex]a_{5}[/tex] is 2500.

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The asymptote and the y-intercept of the function is asymptote: y = 2

y-intercept: (0,8) , Option A is the answer.

Asymptote is a straight line that approaches the curve but does not meet even at infinite distance.

It is given that f(x) = 6 (0.5)ˣ +2

The horizontal asymptote is at y = c

y = 2

From the curve it can be seen that

The intercept of y axis is determined when x = 0

then f(0) = 6 * (0.5)⁰ + 2

f(0) = 8

Therefore the y intercept is at (0,8)

Therefore Option A is the right answer.

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Answer:

C

Step-by-step explanation:

thats what i got

Answer:

D. x=1

Step-by-step explanation:

8-2x = -8x + 14

First, add 8x to both sides.

8+6x=14

Next, subtract 8 from both sides.

6x=6

Lasty, divide 6 from both sides.

x=1

Hope this helps!

If not, I am sorry.

Answer:

A)  144 feet

[tex]\textsf{B)} \quad h(t)=16t(6-t)[/tex]

Step-by-step explanation:

Part A

Given polynomial:

   [tex]h(t)=96t-16t^2[/tex]

where:

To find the height of the debris 3 seconds after the explosion, substitute t = 3 into the polynomial and solve:

[tex]\begin{aligned}\implies h(3)& = 96(3)-16(3)^2\\ & = 288 - 16(9)\\ & =288-144\\ & =144 \sf \:\: ft\end{aligned}[/tex]

Part B

To factor the polynomial, rewrite 96 as 6 × 16:

[tex]\implies h(t)=6 \cdot 16t-16t^2[/tex]

Rewrite t² as t × t:

[tex]\implies h(t)=6 \cdot 16t-16t \cdot t[/tex]

Factor out the common term 16t:

[tex]\implies h(t)=16t(6-t)[/tex]

Check

Substitute t = 3 into the factored expression:

[tex]\begin{aligned}h(3) & = 16(3)(6-3)\\& = 16(3)(3)\\& = 48(3)\\& = 144\:\: \sf ft \end{aligned}[/tex]

As the height is 144 ft when t = 3 is substituted into the original polynomial and the factored polynomial, this confirms that the factorization is correct.

Answer: The card is 28 cm by 23 cm

Check out the diagram below

Explanation:

I added 4 cm to each dimension of the "24 x 19". Why 4 instead of 2? Because we're effectively adding two copies of "2 cm" to each of the original length and width. Along the horizontal component, we have the left and right boundaries. Along the vertical component, we have the top and bottom boundaries. The diagram hopefully clears up any confusion you may have.

Answer:

see explanation

Step-by-step explanation:

(9m + 4)² - (9m - 4)² ← expand both factors using FOIL

= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1

= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms

= 144m

= 72(2m)

which is divisible by 72 for all m

Answer:

12

Step-by-step explanation:

1 hour = 60 minutes

2 people paint a fence in 1 hour = 60 minutes

10 people are 5 times 2 people, so they need 5 times less time than 2 people.

10 people paint a fence in 60/5 minutes

10 people paint a fence in 12 minutes.

the initial statement is y ∝ x

to convert to an equation multiply by k the constant of variation

[tex]y = kx[/tex]

to find k use the given condition

[tex]y = 27 \\ \\ when \\ \\ x = 3[/tex]

[tex]y = kx \\ \\ k = \frac{y}{x} = \frac{27}{3} = 9[/tex]

equation is y = 9x

when x = 4 then

[tex]y = 9 \times 4 = 36.[/tex]

Answer:

y = 36

Step-by-step explanation:

given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 27 when x = 3 , then

27 = 3k ( divide both sides by 3 )

9 = k

y = 9x ← equation of variation

when x = 4 , then

y = 9 × 4 = 36

Answer:

f

Step-by-step explanation

The inequality which shows the graph is [tex]y\le\ 4x+2[/tex].

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, from the inequalities the graph is representing the fourth inequality.

The graph attached below show the graph corresponding to  

[tex]y\le\ 4x+2[/tex] is shown.

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Answer:

its most likley graph 4

Step-by-step explanation:

hope this helps and if its wrong im very sorry

Answer:

is b i think

hope my answer help you

The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,

Area = 4 units × 3 units = 12 units²

Hence, the area of the rectangle is 12 units². Thus, the correct option is A.

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Answer:

17.20465053

Step-by-step explanation:

17.20465053 or

17.2 (to 1 dp)

Answer:

Third side has to be greater than 4 and less than 24.

Step-by-step explanation:

A triangle is valid if the sum of two sides is greater than the third side. That has to be the case for each of the sides. So let the sides of triangle be a, b and c.

a + b > c

a + c > b

b + c > a

Given:

a = 10

b = 14

We are looking for the third side, c.

First inequality:

a + b > c

10 + 14 > c

24 > c

This tells us that c has to be less than 24.

Second inequality:

a + c > b

c > b - a

c > 14 - 10

c > 4

This tells us that c has to be grater than 4.

Third inequality:

b + c > a

c > a - b

c > 10 - 14

c > -4

This tells us that c has to be greater than -4. But we also know that c has to be greater than 4, so we take 4 as the minimal value for c.

Final answer:

4 < c < 24

Third side has to be greater than 4 and less than 24.

Answer:

d=8t

Step-by-step explanation:

Answer:

Wrong

Step-by-step explanation:

Let cost of Albert's fuel be x.

When cost of fuel rises by 10% :

When consumption is reduced by 10% :

So clearly there is a 1% change in expenditure. Hence, Albert's claim is wrong.

Answer:

Albert is wrong -- explanation below

Step-by-step explanation:

Albert's expenditure "C" on fuel at any point in time is the product of the unit price, "p", and the amount of fuel purchased, "n".

In an equation form, [tex]C=pn[/tex].

Looking at some time before the changes, let's denote the unit price, the amount of fuel, and the expenditure with subscripts "1" to denote specific values at time 1, before the changes.

[tex]C_1 = p_1 n_1[/tex]

After the changes, note that p1 increased by 10%, and amount of fuel decreased by 10%.

Understanding changing percentages

For values that stay the same, we would multiply by 100% (or 1.00), since multiplying by 1 doesn't change the value.

For a 10% increase, we need 100%+10% which equals 110% or 1.10

For a 10% decrease, we need 100%-10% which equals 90% or 0.90

So, the new prices and amounts and costs at some later time, time 2, are given by [tex]C_2 = p_2 n_2[/tex], where [tex]p_2 = 1.10p_1[/tex] and [tex]n_2 = 0.90n_1[/tex].

Substituting:

[tex]C_2 = p_2 n_2[/tex]

[tex]C_2 = (1.10p_1) (0.90n_1)[/tex]

[tex]C_2 = 0.99 p_1 n_1[/tex]

But remember that [tex]C_1 = p_1 n_1[/tex], so

[tex]C_2 = 0.99 C_1[/tex]

In other words, the next expenditure is 99% as much as (or 1% less than) the old expenditure.

Thus, Albert is incorrect to state that there was NO change in his expenditure.

The functions shown in the table below are exponential functions, will be g(x) and k(x). Then the correct option are B and D.

The complete question is attached below.

Let a is the base and x is the power of the exponent function and b is the y-intercept.

The exponent is given as

y = aˣ + b

Checking for g(x), then we have

g(x) = 5ˣ

Then the function g(x) satisfies all the condition.

Checking for k(x), then we have

k(x) = 4⁻ˣ

Then the function k(x) satisfies all the condition.

Then the correct option are B and D.

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The "sample" with "mean absolute deviation" indicate about a sample mean absolute deviation is being used as an estimator of the mean absolute deviation of a​ population

Generally,  The MAD measures the average dispersion around the mean of a given data collection.

[tex]1/n \sum_i-1^{n} |x_i -m(X)|[/tex]

In conclusion, for the corresponding same to mean

the sample  mean absolute deviation

7,7  ↔         0

7,21  ↔         7

7,22         ↔    7.5

21,7        ↔          7

21,21 ↔     0

21,22 ↔    0.5

22,7   ↔     7.5

Therefore

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Answer:

The answer is 44.80 degrees

Step-by-step explanation:

First you want to find z

z = 180-(52+90)=38

and then try to determine which formula will try to give you x = Tan

Tan = Opposite/ Adjacent

Tan(38)=35/x

x=35/Tan(38)

x=44.80

Answer:

15/7 is the answers for the question

Step-by-step explanation:

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Answer:

15/21

Step-by-step explanation:

First do 5 times 3, which is 15 (5+5+5). Then do 7 times 3, which is 21 (7+7+7). Since the denominator is 7 and there is 3 models with 7 parts each, there are 21 total parts. Out of each model, only 5 parts are highlighted/colored out of the 7. Add all the parts that are colored together to get 15. To put it simpler, 15 out of 21 parts are colored. This cannot be further simplified, giving you 15/21

Answer:

-6

Step-by-step explanation:

Well you just plug in the value 3 for x. This will give you the following equation: [tex]\frac{4(3+3)(3+1)}{(3+5)(3-5)}[/tex] which simplifies to [tex]\frac{4(6)(4)}{(8)(-2)}[/tex] which further simplifies to [tex]-\frac{96}{16}[/tex] which can further be simplified by dividing the two numbers and that results in -6

Answer:

A

Step-by-step explanation:

it really only means to replace every x by 3 and then simply calculate.

4(3+3)(3+1) / ((3+5)(3-5)) =

= 4×6×4 / (8×-2) = 96/-16 = -6

Let that be x

The number he chooses, in the beginning, was 888.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.

Let the unknown number be represented by x.

Therefore,

(x/8+8)8 = 952

x/8+8 = 119

x/8 = 119-8

x/8 = 111

x = 111(8)

x = 888

Therefore, the unknown number would be; 888.

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Answer: Below is the correct data.

Fraction: [tex]\frac{23}{100}[/tex]

Decimal: 0.23

Percent: 23%

I hope this helps! Pls mark brainliest!! :)

Answer:

12 is the answers for the question

Step-by-step explanation:

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[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]

Solution :{-12,12} so it's D

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In insurance, in a 100/300 policy, it should be noted that up to $100,000 bodily injury per single person injured in the accident will be covered.

An insurance coverage simply means the amount of risk or liability for an individual.

In this case, in a 100/300 policy, up to $100,000 bodily injury per single person injured in the accident will be covered.

Also,an amount up to $300,000 in total will be for bodily injuries per accident. Finally, there's a $100,000 for damages to the property of others.

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Answer:

3. n>or=0

5. n>or=0

Step-by-step explanation:

3. -1<or=2n+4-5

    =-1<or=2n-1

    =1-1<or=2n

    =0<or=2n

     =n>or=0.

5. 0<or=2n+3n

  =0<or5n

  =n>or=0

The multiplication law states that

So

Answer:

1 = 1

Step-by-step explanation:

We all know the law of exponents,the one we'll use to solve this is the multiplication law:

Solved:

x^0 = 1

Alternate method:

5^3 and 5^3 cancels, which results to

Answer:

[tex]\fbox {Work is attached below.} \downarrow[/tex]

Step-by-step explanation:

Answer:

335.16 ft

Step-by-step explanation: