find the perimeter of the polygon

Answer:

(x+5)(x-4)(x-3)

Step-by-step explanation:

Divide (e+5) into e³-2e²-23e+60 using polynomial long division (picture attached below). Since it divides in evenly, we can see it is a factor.

So we can say e³-2e²-23e+60 = (e+5)(e²-7e+12)

To complete the factorisation, factorise e²-7e+12.

Note that (x+a)(x+b)=x²+(a+b)x+ab.  So find the multiples or 12 which can be added or subtracted to get -7: -4 and -3.

e²-7e+12=(x-4)(x-3)

So e³-2e²-23e+60 = (x+5)(x-4)(x-3)

Answer:(g o f)(x)=x^2+x+1

Step-by-step explanation:

It is Given f(x) = x + 1 and g(x) = x^2 therefore, the function (g o f) (x) is  x^2 + x + 1.

The function of function, as the name suggests, is functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on the first input is called the function of functions.

The resultant function which maps the input x to the final output is called the function of a function.

If the first function is g( and the other function is f, then we can write the resultant function of the function as

[tex](f\circ g)(x)[/tex]

where the x is the input to the first function.

Thus, we have;

[tex](f\circ g)(x) = f(g(x))[/tex]

It is Given f(x) = x + 1 and g(x) = x^2, we need to find (g o f) (x)

(g o f)(x) = g(x) +  f(x)

             =  x^2 + x + 1

Learn more about x-intercept here:

https://brainly.com/question/14764115

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Answer:

A)

$16412.40.

B)

Our culminate decay factor was 0.82062.

C)

0.861651. It represents decay because it's less than one.

D)

We need at least a 16.1% increase.

Step-by-step explanation:

We started off with $20,000. In the first year, we lost 10%. In the second year, we lost an additional 6%, and another 3% in the third year. During the fourth year, however, we regained 5%.

Part A)

In the first year, we lost 10% of our original investment. In other words, we will have left 100% - 10% or 90% of our original investment. So, after the first year, we will have:

[tex]20000(0.9)=\$ 18000[/tex]

During the second year, we lost another 6%. So, it will be 100% - 6% = 94% = 0.94 of our current investment. So, after the second year, we will have:

[tex]18000(0.94)=\$ 16920[/tex]

Finally, during the third year, we lost 3%. So, it will be 100% - 3% = 0.97 of our current investment:

[tex]16920(0.97)=\$ 16412.4[/tex]

After the first three years, our investment dwindled down to $16412.40.

Part B)

We started off with $20,000 and ended up with $16412.40. Let r represent the decay factor. We can write the following equation:

[tex]20000d=16412.4[/tex]

This reads, "our original investment of $20,000 by multiplied by some (decay) factor equals our current investment of $16412.4."

Solve for d:

[tex]\displaystyle d=\frac{16412.4}{20000}=0.82062[/tex]

So, our decay factor is 0.82062.

(Note: This means that our rate of decay was 1 - 0.82062 = 0.17938. So, we lost approximately 18% of our investment over the course of the three years.)

Part C)

After the third year, our investment was $16412.40.

During the fourth year, we gained 5% on our investment. So, it will be 100% + 5% = 105% = 1.05 of our current investment:

[tex]16412.4(1.05)=\$ 17233.02[/tex]

Again, we can write an equation:

[tex]20000d=17233.02[/tex]

Where d represents the culminative factor after four years.

Solving for d yields:

[tex]d=0.861651[/tex]

Since the culminative factor is less than one, this is decay.

Decay is also correct contextually, since after four years, our current investment is lower than our original investment.

Part D)

After the fourth year, we have $17233.02.

In order to find the percent increase to rereach $20,000, we can write an equation:

[tex]17233.02d=20000[/tex]

Solving for d yields:

[tex]\displaystyle d\approx 1.1606[/tex]

So, the growth factor is about 1.1606.

This means that during the fifth year, we will need to grow by 1 - 1.1606 or about 16.1% in order to rereach our original investment of $20,000.

Answer:

2nd option if NOT true

Step-by-step explanation:

AB to BC to AC all have a slope of 2/3

Answer:

I think a is the answer

Step-by-step explanation:

........?.......?

Answer:

B

Step-by-step explanation:

He earn 78.75 on his interest so

x=4

2 1/2

Answer:

36

Step-by-step explanation:

I hope this helps

Answer:

hcbhvhchgcvgfbvvhhs

Step-by-step explanation:

cbhchchfvhvhshc;h

Answer:

456.73 cm²

Step-by-step explanation:

Area of a circle = πr²

The radius of the hub cap

= 75.74÷3.14÷2

= 12.06 cm (rounded to the nearest hundredth)

The area of the hub cap

= 3.14 × 12.06²

= 456.7314968152...

= 456.73 cm² (rounded to the nearest hundredth)

Circumference means the perimeter of a circle. So if the perimeter of a shape is smaller, it makes the shape turn out to be smaller.

So the area of the hub cap will be smaller.

Answer:

80

Step-by-step explanation:

It's supplementary to angle DAC.

Answer:

yes, they are equivalent

Step-by-step explanation:

solve the first equation for 'y' by subtracting 4x from each side, then dividing each side by 2

2y = -4x + 20

y = -2x + 10

Answer:

[tex]y = - \frac{4x}{107} + 12[/tex]

Step-by-step explanation:

You start with 12 gallons, and for every mile that you drive, you will deplete [tex]\frac{1}{321}[/tex] of your total amount of gas, or [tex]\frac{12}{321} = \frac{4}{107}[/tex] gallons of gas for every mile you drive. Thus, for every x miles you drive, you'll deplete [tex]\frac{4x}{107}[/tex] miles. Subtract that from 12 to get your final answer.

[tex] \frac{12 \times x}{321} [/tex]

hi the answer is I have no clue sorryyyy

Answer:

yea id k the answer idek the question g

Step-by-step explanation:

Answer:

1. y = 65

2. y = 5

i don't know the rest, sorry

Answer:

x=5

Step-by-step explanation:

First, let's understand logarithms.

When there is no base given, like in this problem's right side of the equation, the base is automatically 10.

So, let's re-write that.

[tex]\frac{7}{x+2}=log_{10}x+5[/tex]

Now, let's test a few of the numbers out. For brevity, I already know it's 3. Let's show you why.

[tex]\frac{7}{5+2} =log_{10}(5+5)\\\frac{7}{7} = log_{10}(10)\\1 = 1[/tex]

Answer:

9 10/11 km

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

7 2/11 km to school

Another 2 8/11 km to the park

Step 2: Find Total

2*22/7*r=140

r=22.27

is the answer

Answer:

i believe its 28

Step-by-step explanation:

Answer: 49.2%

Step-by-step explanation:0.492×100%

= 49.2%

How to convert decimal to percent

1 = 100%

The value V% in percent (%) is equal to the decimal value Vd times 100%:

V% = Vd × 100%

Examples

0.01 = 0.01 × 100% = 1%

0.05 = 0.05 × 100% = 5%

0.3   = 0.3 × 100% = 30%

0.35 = 0.35 × 100% = 35%

3.5   = 3.5 × 100% = 350%

PLEASE MARK BRAINLIEST

Answer:

12

Step-by-step explanation:

3 entrees * 4 drinks

12 different combinations for lunch

Answer:

[tex] \frac{ {x}^{2} + 10x + 16 }{ {x } {}^{2} + 6x + 8} \div \frac{1}{x + 2} [/tex]

[tex] \frac{ {x}^{2} + 8 x+ 2x + 16}{ {x}^{2} + 4x + 2x + 8} \times (x + 2)[/tex]

[tex] \frac{x(x + 8) + 2 (x + 8)}{x(x + 4) + 2(x + 4)} \times (x + 2)[/tex]

[tex] \frac{( x + 8)(x + 2)}{(x + 2)(x + 4)} \times ( x + 2)[/tex]

[tex] \frac{( x + 8)(x + 2)}{(x + 4)} [/tex]

Answer:

6i and -6i

Step-by-step explanation:

since its a negative then you have to remember to add a i

Answer:

6i

Step-by-step explanation:

The rectangle had a width of 50 meters

Answer:

SSbetween is 10

Step-by-step explanation:

Given the data in the question;

A research study comparing three treatments with n = 5 in each treatment produce;

that is: n₁ = 5, n₂ = 5, n₃ = 5

T₁ = 5, T₂ = 10, T₃ = 15,

SS₁ = 6, SS₂ = 9, SS₃ = 9

∑x² = 94

First, we obtain the grand total;

G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30

N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15

Total SS =  ∑x² - ( G²/N )

we substitute

Total SS =  94 - ( (30)²/ 15 )

Total SS =  94 - ( 900 / 15 )

Total SS =  94 - 60

Total SS =  34

To get the SSbetween or Between SS;

Between SS = ∑( T²/n ) - ( G²/N )

Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )

Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )

Between SS = ∑( 5 + 20 + 45 ) - 60

Between SS = 70 - 60

Between SS = 10

Therefore, SSbetween is 10

Answer:

Non- Linear and decreasing

Step-by-step explanation:

It is a non- linear line becuase it is curved. Linear lines are perfectly straight. It is a decreasing graph because you always start from the left. Starting from the left on this graph it is sloping downwards. Hope this helps :)

Answer:

144.352

Step-by-step explanation:

Answer:

187.5

Step-by-step explanation:

200 - 2 X 5 x 5 = 50

200-50 = 150

150/4 = 37.5 x 5 = 187.5 - hope this helps

Answer:

Smallest possible length of the hypotenuse = 65

Step-by-step explanation:

Given - A right angle triangle has sides whose lengths are $2$-digit integers. The digits of the length of the hypotenuse are the reverse of the digits of the length of one of the other sides.

To find - Determine the smallest possible length of the hypotenuse.

Proof -

The possible Pythagoras triplets of a right angled triangle with 2 digit integers are -

(11, 60, 61)

(12, 35, 34)

(13, 84, 85)

(16, 63, 65)

(20, 21, 29)

(28, 45, 53)

(33, 56, 65)

( 36, 77, 85)

(39, 80, 89)

(48, 55, 73)

(65, 72, 97)

But, Here Given that

The digits of the length of the hypotenuse are the reverse of the digits of the length of one of the other sides.

So, There is only one possibility that satisfy the condition.

and that is, (33, 56, 65)

So, we get

Length of one side = 33

Length of second side = 56

Length of hypotenuse = 65

So,

Smallest possible length of the hypotenuse = 65

Answer:

64?

Step-by-step explanation:

32+32=64

have a nice day