How many distinct lines of symmetry does the image have?
The image has rotational symmetry after rotating every

Answer:

1. 2(4x + 8)

2. 8(x +2)

3. 4(2x +4)

Step-by-step explanation:

You can check by using the distributive property!

For instance:

2 (4x +8)

 2 · 4x = 8x

 2 · 8 = 16

= 8x + 16

8(x +2)

 8 · x = 8x

 8 · 2 =16

= 8x + 16

4(2x +4)

  4 · 2x = 8x

   4 · 4 =16

= 8x + 16

Hope this is helpful! Let me know if you have any more questions :D

Answer:

Step-by-step explanation:

With the given zero's, the polynomial is:

Open parenthesis in steps:

1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10

2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =

x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =

x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10

This is not matching any options so we add two more zero's: -2√2 and -√5

New polynomial looks like:

Open parenthesis in steps:

Answer:

a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000

 b) $83,421.88

 c) s[n] = 70000·1.05^n -20000

Step-by-step explanation:

a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...

 s[0] = 50000 . . . . the recursion relation initial condition

The next year, the salary is multiplied by 1.05 and 1000 is added:

 s[1] = 1.05·s[0] +1000

This pattern repeats, so the recursion relation is ...

 s[n] = 1.05·s[n-1] +1000

__

c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).

The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...

 base salary after n years = 50,000·1.05^n

The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:

 sum = a1(r^n -1)/(r -1) . . . . . (see note below)

 sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)

So, the total salary after n years is ...

 s[n] = 50000·1.05^n + 20000(1.05^n -1)

The exponential terms can be combined, so we have the explicit formula ...

 s[n] = 70000·1.05^n -20000

__

b) The year 2025 is 8 years after 2017, so we want to find s[8].

 s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000

    = 103,421.88 -20000 = 83,421.88

In 2025, the employee's salary will be $83,421.88.

_____

Note on the sum of the add-ons

A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....

The sum of such a geometric sequence has the formula

 Sn = a1·(r^n -1)/(r -1)

Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as

 Sn = 20000·(1.05^n -1).

Answer:

Step-by-step explanation:

Given formula:

To solve for k, multiply both sides by 2 and divide by x²:

Answer:

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Step-by-step explanation:

The formula given is :

[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]

Now, multiply (×) both sides by 2 and divide (÷) by x^2

[tex]\sf\longmapsto \: 2E = kx²[/tex]

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Answer:

below

Step-by-step explanation:

I'm not absolutely know what are you asking for the answer, but this graph shows ...

The first 20 minutes he has a constant speed of 1.8/20=0.09 km/min progress to 1.8 km away from home, then has 10 minutes (from 20-30) stop at the spot.

Then he drive home with speed of 0.045 km/min (1.8/40=0.045) for 40 minutes to return to the start point.

Answer:

85.4

Step-by-step explanation:

Answer:

The greatest common factor is surprisingly 6.

All three numbers can be divided by 6 and it is the highest value that can be taken from all three numbers.

Step-by-step explanation:

Hope this helps.

<3

Answer:

the GCF of those numbers is 6.

Step-by-step explanation:

One way to solve this is to list the factors of them, then find the greatest one that they share.

42: 1, 2, 3, 6, 7, 14, 21, 42

12: 1, 2, 3, 4, 6, 12

6: 1, 2, 3, 6

If we look at them, notice that six is in all of them. All of them have factors of six. Can we go any higher than that? No because six is the greatest factor of six, so we can't go any higher and still have all of them share a GCF. So your answer is 6.

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two angles can be 48.75 which if you add all those together would be 180 degrees

Sorry if it might be wrong but if its right can you mark me branliest

Answer:

Step-by-step explanation:

The tree indicated angles form a straight angle:

The angle 2x:

The angle 3x:

Answer:

(-∞,∞)

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

[tex] \sqrt[3]{x} [/tex]

has the domain all of the real numbers

Step-by-step explanation:

z°=180°-25°

z°= 155°

z°=x°=155° (vertically opposite angle).

w°=25°(alternate angle).

y°=z°=155°(alternate angle).

hope this helps you.

Answer:

Step-by-step explanation:

As AB and CD are parallel lines cut by a transversal, we have:

So the measures are:

Answer:

3 sets

Step-by-step explanation:

6+3 = 9 inches of wire

28/9 = 3 1/9

so 9 can go into 28 three times

so tammy can make three sets of neclaces and bracelets

Answer:

There are 6 tennis balls in 2 cans.

Answer: c and e

Step-by-step explanation:

because im smart like that

Step-by-step explanation:

It's 27/35, so 27/1 * 1/35

Answer:

0.31  (correct me if I'm wrong)

Step-by-step explanation:

Answer:

7x3=21

Step-by-step explanation:

7+7+7=21, 7x3=21

Answer: I'm not sure how to interpret "If 4 (A) between 5/8 and 4/5." If the sentence was supposed to read:

"Is 4:

(A) between 5/8 and 4/5

(B) between 1 and 2

(C) between 0 and 2

(D) between 1/2 and 1

(E) cannot be determined

Step-by-step explanation: If this is the correctly rewritten question, then the answer is NO to all the options. If I have misinterpreted the question, please clarify.

9514 1404 393

Answer:

Step-by-step explanation:

Solution of the system by the usual means yields the parametric equations ...

  (a², b², c²) = (41 +t, t -7, 2t)

Since we want t-7 to be a perfect square, we can let ...

  t -7 = n²

  t = n² +7

Then the solutions are ...

  (a, b, c) = (±√(n²+48), n, ±√(2(n² +7)))

The only integer solutions are for n=±1 and n=±11. Then the 16 possible triples are ...

  (±7, ±1, ±4) and (±13, ±11, ±16) . . . where the signs can have any combination

Answer:

(2/12 & 9/12)

Step-by-step explanation:

12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.

( not written by me )

8x+12y=120

8 packs -> x value

12 packs -> y value

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

total amt. of beverages is 120

Answer:

11,765

Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes

Answer:

let g = number of guests. if each guest is to have 3 cups we represent this as

3g

for the additional 20 cups, we add 20

3g + 20

Answer: 3g + 20

Step-by-step explanation:

hope this helps

Answer:

a) 2.4 b) 2, -3

Step-by-step explanation:

sorry I only know a and b since yea

Answer:

5 and 6

Step-by-step explanation:

Answer:

5:2

or

5 to 2

or

5/2

Step-by-step explanation:

Answer:

The final amount they will pay is $74.49

Step-by-step explanation:

59.36(Check)*0.19(19% tip rate)=11.27

59.36+11.27=70.62 Check+Tip

70.62(Check total)*0.055(5.5% tax)=3.87

70.62+3.87=74.49 Total check, tip & tax

Answer:

19

Step-by-step explanation:

9+10=19

please mark me brainliest

Answer:

21 ^^

jk jk lol 19 >->

but reality... i believe it's 2356486513

24r^−5s^0 would be your answer

Answer:

250000

Step-by-step explanation:

20% of x is 50000

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

50000=20x/100

50000= x/5

5(50000) = x

250000 = x