Expand and simplify
1: (2 ) a) 9( 3 – 10n ) -3 ( 10n + 1 )

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

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Answer:

40 + 4√13

Step-by-step explanation:

A kite is a quadrilateral (has four sides) with two pairs of equal adjacent sides. The longer diagonal of a kite bisects the shorter diagonal.

Since in kite JKLM, diagonal KM bisects JL, hence KM is the longer diagonal.

JP = LP

JL = 12

JL = JP + LP

12 = JP + LP

2JP = 12 (LP = JP)

JP = 6

We can find JK using Pythagoras theorem, hence:

JK² = JP² + KP²

JK² = 4² + 6²

JK² = 16 + 36

JK² = 52

JK = √52 = 2√13

JK = KL = 2√13

ML = JM = 20

Perimeter of kite = JK + KL + ML + JM = 20 + 20 + 2√13 + 2√13

Perimeter of kite = 40 + 4√13

Answer:

x=5

Step-by-step explanation:

[tex]3(x+2)=21[/tex]

[tex]3x+6=21[/tex]

[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]

Answer:

x = 5

Step-by-step explanation:

You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6

Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21

Then you subtract 21-6 to get 15. 3x = 15

Then you are left with 3x = 15.

Divide 3 from both sides and you get x =5.

Answer:

1/27 is the answer..... .......

Answer:

No.

Step-by-step explanation:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

Answer:

D

Step-by-step explanation:

yeah

Answer:

Attached file

Step-by-step explanation:

Answer:

1 4/45

Step-by-step explanation:

Answer:  y = 3x - 4  will be the parallel line to the line  y= 3x -1

Step-by-step explanation:

Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b  where m is the slope and b is the

y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.

 5= 3(3) + b  

5 =  9  + b

-9    -9

b = -4    

Since the y intercept is negative 4, the equation will be  y = 3x -4

Answer:

(13, 11)

Step-by-step explanation:

I graphed the line and the vertex is at 13, 11

The vertex of the function  f(x) = |x - 13| + 11 is (13,11)

The function is given as:

f(x) = |x - 13| + 11

The above function is an absolute value function

An absolute value function is represented as:

f(x) = a|x – h| + k

Where, the vertex is (h,k)

So, we have:

(h,k) = (13,11)

Hence, the vertex of the function  f(x) = |x - 13| + 11 is (13,11)

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Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

Answer:

Step-by-step explanation:

1755*39= 68445

68445/39=1755

68445/1755=39

Answer:

There is a positive correlation in the data set.

General Formulas and Concepts:

Statistics - Scatterplots

Step-by-step explanation:

According the data set on the graph, we can see that if we draw a line of best fit, the overall data would be increasing. Therefore, we would have a positive correlation.

Answer:

D

Step-by-step explanation:

Break it into different shapes and find the areas. add the areas for the answer: D

9x4=36

9x20=180

9x2=18

36+180+18=234

Answer:

d

Step-by-step explanation:

((4*9)/2)+(4*9)+(9*20)

Answer:

It's C

Step-by-step explanation:

When you multiply - 2 to what you have in the brackets you get - 2x - 10

Hope this helps, have a wonderful day

Answer:

I CANT SEE THE IMAGE BUT I NEEED POINTS xD

Step-by-step explanation:

PERIODDDDDDDDD

Answer:

Laptops, 82 is the largest number when you look at the totals.

Step-by-step explanation:

gender|    electronic tablet | Laptop | Both | Neither | Total

----------|----------------------------|------------|---------|-------------|--------

girl       |      13                       |    51      |   8     |      17      |   89

boy      |      12                       |    31      |   5     |      13      |   61

total     |      25                      |    82     |   13    |     30     |    150

LMK If I have to explain but I basically just got the 150 students from the directions and went from there.

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Answer:

y=x-3

Step-by-step explanation:

The slope goes up by 1 and the y intercept is -3

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

Answer:

k can either be

12

or

−

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

Answer:

8:6 (have a good day)

Step-by-step explanation:

Answer:

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

(4,-1),(6,1): two points

-1(1)/4(6): find slope

slope: [tex]\frac{-1}{24}[/tex]

write in point-slope form: y+1=[tex]\frac{-1}{24}[/tex](x-6)

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

Answer:

-9

Step-by-step explanation:

Replace x with -7 in the expression:

x^2 + 5 / x + 1

-7^2 + 5 / -7 + 1

49 + 5 / -6

54/-6

simplify the fraction

9/-1 = -9

Answer:

Step-by-step explanation:

Change in height:

Percent of change:

Correct choice is B

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Answer:

w = -6

Step-by-step explanation:

2w + 6 = -6

     -6      -6

2w = -12

÷2      ÷2

w = -6

Answer:

Step-by-step explanation:

w - 6 = 2w + 6

Subtract 6 from both sides

w - 12 = 2w

subtract 1w, or w, from both sides

-12 = w