“ Use what you know about function notation to complete the statements “ PLS HELPP

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]

Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality

Step-by-step explanation:

Answer:

  15. y = 6x

  16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

  y = kx

Solving for k, we find ...

  k = y/x = 42/7 = 6

The equation is y = 6x.

__

16. Filling in the given values, we have ...

  66 = 6x

  11 = x . . . . . . . divide by 6

With the sale price being $12 and the retail price being 24, it is a 12 dollar markup or 50% considerably.

Answer:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

Step-by-step explanation:

Here, you can see every consecutive term is divided by 2. I think that's pretty obvious looking at it, but you can work it out like this if you'd like to. Divide each consecutive term by the one before it:

[tex]6\div12=\frac{1}{2}\\\\3\div6=\frac{1}{2}\\\\\frac{3}{2}\div3=\frac{1}{2}[/tex]

Each term is multiplied by 1/2 over the last, or divided by 2. In this case actually, we do want it in the form of "multiplied by 1/2", as the recursive equation is:

[tex]a_n=xa_{n-1}[/tex]

where x is the factor. Here, we're multiplying by x, so we want "multiplied by 1/2" as described above. x is 1/2, so you can write the equation:

[tex]a_n=\frac{1}{2}a_{n-1}[/tex]

You can simply interpret this as "each term is 1/2 of the term before it"

The set of all even integers greater than or equal to 50 and less than or equal to 510

In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.

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Explanation:

The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.

In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.

Let's plug in the smallest item from the domain (v = 0).

E = 50+2v

E = 50+2*0

E = 50+0

E = 50

This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.

Now let's plug in the largest value for v (230).

E = 50+2v

E = 50+2*230

E = 50+460

E = 510

This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.

So we can see that the range of E values spans from $0 to $510.

Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510

In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.

In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.

Answer: the answer is A

Answer:

Step-by-step explanation:

We'll start with the slope intercept form of a straight line equation:

y = mx + b, where x is the slope and b the y-intercept.  The slope we are given is 3, so:

y = 3x + b

We need a value of b that will force the line to go through (-3,-1).  Do this by entering that point in the equation and solving for b:

y = -3x + b

-1 = 3(-3) + b

b = 8

y = 3x + 8

Answer:

12 boys, 36 girls

Step-by-step explanation:

We can use systems of equations to solve this using substitution.

Let b = # of boys in the class

Let g = # of girls in the class

b + g = 48

g=3b

b+(3b)=48

4b=48

b=12

12*3=36

Check:

36+12=48

Answer:

Vincent will be able to buy the sneakers, while David will not be able too.

Step-by-step explanation:

I believe this is true because for David,

6% of 86$ is 5.16$

so 86 + sales tax (which is 5.16) = 91.16$

David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.

While for Vincent,

9% of 86$ is 7.74$

so 86 + sales tax (which in this case is 7.74) = 93.74

Vincent has 95$ to spend so he can afford the shoes.

I am not exactly sure if all calculations are correct, but I hope this helps! :)

Answer:

Vincent          

I took the test on edg

Answer:

x = 56

y = 15

Step-by-step explanation:

"The sum of two numbers is 71."

x + y = 71

"The difference of the two  numbers is 41."

x - y = 41

Solve the system:

From the first eq.

x = 71 - y

Replacing this value in the second eq.

(71-y) - y = 41

71 - 2y = 41

71 - 41 = 2y

30 = 2y

y = 30/2

y = 15

From the second eq.

x - y = 41

x - 15 = 41

x = 41 + 15

x = 56

Check:

from the first eq.

x + y = 71

56 + 15 = 71

Answer:

is it 60$

Step-by-step explanation:

because if its 100% than it would be 40+40+40

due to 50% = 120 ÷50%

= 60

Answer:

8  chicken and 4 steak .

Step-by-step explanation:

8 x 14.99 =  119.29

4 x 25 = 100

Answer:

D

Step-by-step explanation:

Answer: start out with -10=10 x n-9

next divided 10. -10 divided by 10 = -1

-1 = n-9

now add 9 to both sides

8 = n

there is your solution!!!

Step-by-step explanation:

Answer:

A= -8

Step-by-step explanation:

-A - 22=-2A-30

+2A             +22

A         =   -8

Answer:

3 is in the wrong place

Step-by-step explanation:

:)

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

Learn more here: https://brainly.com/question/25874786

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is B. Vertical

Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .

Answer:

vertical

✌️❤️✌️

......

Answer:

2

Step-by-step explanation:

Basically I use rise over run, or rise ÷ run.

The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.

The radius of the circle is 4 units.

Given to us:

[tex]x^2 + y^2 - 10x + 6y + 18 = 0[/tex]

The generalized format for radius of a circle is given by:

[tex]\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle[/tex]

therefore after rearrangement of the equation we get,

[tex]x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\[/tex]

adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get

[tex]x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\[/tex]

[tex](x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\[/tex]

Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.

To know more visit:

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Answer:

2k-1

Step-by-step explanation:

(k-4)+(k+3)

k+k=2k

-4+3=-1

Answer:

2k-1

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

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Answer:

Second Table:

1 | 0

3 | -2

Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit

Step-by-step explanation:

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

Answer:

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

The graph is in the image.