Give an example of a relation in real life, and
explain why it’s a function.

Ralph ’s calculation is too high, as his calculation includes state taxes.

Given that Ralph's current annual income is $32,000, and he has calculated that he will have to pay a total of $9,280 in federal taxes this year, knowing that he has to pay 24% in federal taxes, to determine if his calculation is correct you must perform the following calculation:

Therefore, Ralph ’s calculation is too high, as his calculation includes state taxes.

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Answer:

The formula for the arithmetic sequence will be:

Step-by-step explanation:

Given

so

a₂ = a₁ +  d

    = -1 + (-7)          ∵ a₁ = -1

    = -1 - 7

     = -8

similarly,

a₃ = a₂ + d

     = -8 + (-7)

     = -8 - 7

      = -15

and so on

Thus, the Arithmetic sequence becomes

a₁, a₂, a₃, ...

-1, -8, -15, ...

as

Therefore, An arithmetic sequence has a constant difference d and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = -1 and d = -7

[tex]a_n=-7\left(n-1\right)-1[/tex]

[tex]a_n=-7n+6[/tex]

Hence, the formula for the arithmetic sequence will be:

Answer:

I think it's a but I'm not 100 percent sure but I'd say a

Answer:

uh can we see the chart

Step-by-step explanation:

Answer:

D   good luck

Step-by-step explanation:

Answer:

(x + 2)² + (y - 1)² = 25

Step-by-step explanation:

radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25

r = 5

Circle: (x - h)² + (y - k)² = r²

center: (-2 , 1)      h = -2       k = 1

(x + 2)² + (y - 1)² = 25

The equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25

The standard equation of a circle is expressed as:

(x-a)^2+(y-b)^2 = r^2

where:

(a, b) is the centre

r is the radius

Given the following parameters

(a, b) = (-2, 1)

r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25

Substitute into the formula to have:

(x-(-2))^2 + (x-1)^2 = 25

(x+2)^2 + (x-1)^2 = 25

Hence the equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25

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Answer:$52

Step-by-step explanation: I would first set up an equation. 9a=18 (a means attendees). Then, I would divide both sides by 9 to isolate the a. I would get a=2. So now I know that 1 attendee costs 2 dollars. If I want to find the cost for 26 attendees, all I would have to do is multiply both sides of the equation a=2 by 26. I would get 26a=52. So, 26 attendees cost $52. I hope this helps you out!

Answer: They are the same or equal to each other.

Step-by-step explanation:

Hope this helps.

Answer:

A

Step-by-step explanation:

The correct answer to this problem is letter A.

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option 1

(3x + 14 - x + 112) and (4x + 134)

Since, (3x + 14 - x + 112) = (3x - x) + (12 + 112)

                                      = 2x + 124

Therefore, (3x + 14 - x + 112) ≠ (4x + 134) [Not equivalent]

Option 2

(2 + 6x) and 2(3x + 1)

2(3x + 1) = (6x + 2)

Therefore, (2 + 6x) = (6x + 2) [Equivalent]

Option 3

3(x + 1) - (1 - x) and (2x + 3)

Since, 3(x + 1) - (1 - x) = 3x + 3 + x - 1

                                  = (3x + x) + (3 - 1)

                                  = 4x + 2

Therefore, (2x + 3) ≠ (4x + 2) [Not equivalent]

Option 4

3x and 4(x + 1) - x - 4

Since, [4(x + 1) - x - 4] = 4x + 4 - x - 4

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

                                   = 3x

Therefore, 3x = [4(x + 1) - x - 4] [Equivalent]

Option 5

(5.5 + 2.2x + 3.8x - 4.1) and (1.4 + 6x)

Since, (5.5 + 2.2x + 3.8x - 4.1) = (2.2x + 3.8x) + (5.5 - 4.1)

                                                 = (6x + 1.4)

Therefore, (1.4 + 6x) = (6x + 1.4) [Equivalent]

Answer:

y = f(x + 2)

Step-by-step explanation:

Answer: D ( 7,3 7,6 7,9 7,12 7,15)

Step-by-step explanation:

A- (-4, 0, 7, 3, -7) There are no repeating domains, therefore, this is a function

B- (1, 3, 5, 7, 9) The domain does not repeat, therefore this is a function

C- (4, 8, 12, 16, 20) The domain does not repeat, therefore this is a function

D- (7, 7, 7, 7, 7) The entire domain repeats, therefore this cannot be a function

Correct answer is D ( 7,3 7,6 7,9 7,12 7,15)

Answer:

9

Step-by-step explanation:

In order for this problem to have more than one solution, one will have to make it such that the two sides are equal. Call the unknown quantity "x", and solve this equation like a literal equation;

5u + 3(4u - 6) = -3u - 27 + 20u + x

Simplify, (distribute and combine like terms);

5u + 12u - 18 = 17u - 27 + x

17u - 18 = 17u - 27 + x

Inverse operations;

17u - 18 = 17u - 27 + x

-17u         - 17u

-18 = -27 + x

+27   + 27

9 = x

Answer: 9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Area of rectangle

lw

So we have to factorise the expression

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+7)(x+6)

So

x+7-(x+6)

x+7-x-6

1

Answer:

-4/9

Step-by-step explanation:

Answer:

y= 42

Step-by-step explanation:

angles in a triangle add up to 180

48+90=138

180-138= 42

(if you need the  value of x)

180-48=132

132/2=66

x=66

(value of z)

90+66=156

180-156=24

z=24

Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

20 × 2 = 40

This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

if the 3% comes with the car in equation you take the amount of seperate asteroids created by the moon and divide it by that 3% then add the number 25 and use that to the power of 3 and then you get the answer:

Santa is and isnt real at the same time

Answer: the answer is -3000 i meant

Step-by-step explanation:

Answer:

[tex]a=-2[/tex]

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: 18b + 2

Step-by-step explanation:

Length: 2b + 4

Width: 7b + 2

I assumed the garden is a rectangle shape since the length and width are different.

Perimeter = 2( L + w)

Then we just plug the values in.

2 (2b + 4 + 7b + 2)

2 (9b + 6) = 18b + 12

So, the equation for the perimeter of Jimmy's garden will be 18b + 2.

Answer:

x = 6

Step-by-step explanation:

Given

6( [tex]\frac{3x}{2}[/tex] - 4 ) = 30 ( divide both sides by 6 )

[tex]\frac{3x}{2}[/tex] - 4 = 5 ( add 4 to both sides )

[tex]\frac{3x}{2}[/tex] = 9 ( multiply both sides by 2 to clear the fraction )

3x = 18 ( divide both sides by 3 )

x = 6

Answer:

x = 6

Step-by-step explanation:

[tex]6( \frac{3x}{2} - 4) = 30[/tex]

Dividing both the sides by 6 ,

[tex] = > \frac{6( \frac{3x}{2} - 4) }{6} = \frac{30}{6} [/tex]

[tex] = > \frac{3x}{2} - 4 = 5[/tex]

Adding 4 on both the sides ,

[tex] = > \frac{3x}{2} - 4 + 4 = 5 + 4[/tex]

[tex] = > \frac{3x}{2} = 9[/tex]

Multiplying both the sides by 2 ,

[tex] = > \frac{3x}{2} \times 2 = 9 \times 2[/tex]

[tex] = > 3x = 18[/tex]

Dividing both the sides by 3,

[tex] = > \frac{3x}{3} = \frac{18}{3} [/tex]

[tex] = > x = 6[/tex]

Answer:

I assume you know the 4 inequalites:

The 4 Inequalities

Symbol      Words               Example

>          greater than        x+3 > 2

<             less than         7x < 28

≥ greater than or equal to 5 ≥ x−1

≤    less than or equal to 2y+1 ≤ 7

The "open circle" represents less than or greater than, and the "closed circle" represents greater than or equal to or less than or equal to.

Hope it helps! Have a great day! :) let me know if it helped

Answer: She will give 8 square meter area to school snap pea plant.

Step-by-step explanation:

Given: Area required by each planter box = [tex]\dfrac45[/tex] square meter

Total number of snap pea seeds  = 10

The total area required =  (Area required by each planter box ) x (number of snap pea seeds)

[tex]=\dfrac45\times10\\\\=4\times2=8[/tex]

Hence, she will give 8 square meter area to school snap pea plant.

Answer:

fo(g(X)= 2/X +1.

Option C

Step-by-step explanation:

Hey there!

Given;

f(X) = x+1

g(x) = 2/X

Now, To find: (f o g(x))

[tex]fo(g(x)) = f(g(x))[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = f( \frac{2}{x} )[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2}{x} + 1[/tex]

Therefore, fo(g(X)= 2/X +1.

Hope it helps...

Problem 1

Answers:

Domain: [tex]-3 \le x < 5[/tex]

Range: [tex]-4 < y \le 3[/tex]

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

Explanation:

The domain is the set of allowed x inputs of a function. The smallest x value we can use is x = -3 (note the very left-most point of the graph). The right-most point involves x = 5, but we can't actually use this x value due to the open hole. So that's why we don't have "or equal to" attached to the 5.

The range is the set of possible y outputs. The lowest we can go is y = -4, but we don't include this as part of the range. The largest y can get is y = 3. So the range is [tex]-4 < y \le 3[/tex]

===========================================

Problem 2

Answers:

Domain: [tex]-2 < x < 4[/tex]

Range: [tex]-2 < y < 5[/tex]

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

Explanation:

We use the same idea as in problem 1. Both endpoints are open holes, so we don't include them as part of the domain and range. For instance, we can't include x = 4 but we can get closer and closer to it. The same idea applies to the range as well.

===========================================

Problem 3

Answers:

Domain:  [tex]1 \le x \le 4[/tex]

Range: [tex]-4 \le y \le -1[/tex]

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

Explanation:

The same idea applies as used earlier. This time we include both endpoints, so we have "or equal to" as part of each inequality sign.