Does this represent a function?

Answer:

See Graph below

Step-by-step explanation:

I hope this helps anyone who needs it :)

The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c

The standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

The function is given as:

[tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex]

Factor out (x - 2)^2

[tex]\mathbf{f(x) = (x - 2)(x - 2) - 3}[/tex]

Expand the expression

[tex]\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}[/tex]

Simplify the like terms i.e. add -2x and -2x

[tex]\mathbf{f(x) = x^2 - 4x + 4 - 3}[/tex]

Simplify the like terms i.e. add 4 and -3

[tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

Hence, the standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]

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Answer:

the one above is all right except its a positive 4x, the question was

f(x) = (x + 2)2 - 3

not

f(x) = (x - 2)2 - 3

the real answer is: f(x) = x^2+4x+1

Answer: 17 red , 68 blue

Step-by-step explanation:

85 divided by 5=17

1/5 of 85=17

17x4=68

4/5 of 85=68

(1). The ratio of red tiles to blue tiles is [tex]\frac{1}{4}[/tex]

(2). The number of blue tiles are 68.

It is given that,

A path is made by red and blue tiles and [tex]\frac{1}{5}[/tex] part of tiles are red.

So that,

 Blue tiles[tex]=1-\frac{1}{5} =\frac{4}{5}[/tex] parts.

The ratio of red tiles to blue tiles in its simplest form,

                [tex]\frac{Red}{Blue}=\frac{1}{5}*\frac{5}{4} \\\\\frac{Red}{Blue}=\frac{1}{4}[/tex]

Since, total number of tiles are 85.

 Number of blue tiles[tex]=\frac{4}{5} *85=68[/tex]

Learn more about the fraction here:

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Answer:

a= 11/30

Step-by-step explanation:

Divide the 5 1/2 miles by the 15 minutes

5.5/15= .36

.36 = 11/30    

Answer:

-13

Step-by-step explanation:

2(-2)-3(3)=

-4-9=

-13

Answer:

3

Step-by-step explanation:

   1                 ×3              =3

apple jam      times          strawberry

Answer:

Step-by-step explanation:

Answer:

x - 2y = 0

Step-by-step explanation:

The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0​, with only the constant (3) being different.  Solving this equation for y to find the slope, we get:

x + 3 = 2y, or y = (1/2)x + 3/2.  The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2.  This result may be rewritten as 2y = x or x - 2y = 0.

Answer:

the pic wont load for me

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

4x+50=150

4x=100

x=25

Answer:

3a

Step-by-step explanation:

9÷3=3

a³-a²=a¹ or just a

b-b= 0

= 3a

Hope this helped you- have a good day bro cya)

Answer: y=10x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is y=1x+2

Answer:

d)

Step-by-step explanation:

the sites of the boat alone is 16 km/h.

downstream and upstream the effective speed is then influenced plus and minus by the current.

the distance traveled is 15km.

as speed = distance/time

then distance / speed = distance / (distance/time) = time

and we know the time it takes : 5.5 hours.

so, only answer d uses the right values in the "right places".

Answer:

x = 5

Step-by-step explanation:

|2x + 6| = 16

=> 2x + 6 = 16

=> 2x = 16 - 6

=> 2x = 10

=> x = 5

Hoped this helped.

The scuba driver descends at a maximum rate of r ≤ -13.84

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.

The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:

2.5r - 13.6 ≤ -48.2

2.5r ≤ - 34.6

r ≤ -13.84

Hence the scuba driver descends at a maximum rate of r ≤ -13.84

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Answer:

They would be equally caramelly, the ratio of oats:caramel is equal

Step-by-step explanation:

Answer:

you will have $133920 intrest monthly and $151920 in the bank

Step-by-step explanation:

Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.

1) Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. So, the linear inequality in 2 variables here is :- b) 3x + y > 4.

2) Linear functions are those whose graph is a straight line. Here, the linear function is :- d) f(x) = 4x + 3.

3) c) Relation is the set of all y such that y is an element of the real numbers.

4) Complementary angles make c) 90°.

5) d) Supplementary angles form 180°.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

The members of a book club spend $0.4 for each Bagel as refreshment.

Let x represent the cost of each bagel.

At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:

Cost = 6x + 9

At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:

Cost = 8x + 8.20

Since the same money is spent on each meeting, hence:

6x + 9 = 8x + 8.2

2x = 0.8

x = $0.4

Therefore the cost of each bagel is $0.4

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Answer:

The answer is B

Answer:

6000

Step-by-step explanation:

9>5 so round up

6000

the answer is (-0.5) (-7.0)= 3.5

Answer:

The slope is 0

Step-by-step explanation:

All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.

Answer:

sorry i was dared to sooooooo yayyyyyyyyyyyyyy

Answer:

Step-by-step explanation:

Perimeter = 5x + 10 + 5x + 10 + 5x + 8

= 15x + 28...ans

Answer:   3^4 · 3^-9 = 3^4 · 1/3^9

Step-by-step explanation:

Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :

1.)

8 : 6

Reducing each side of the ratio by an half(1/2) :

8 × ½ : 6 × ½

4 : 3

2.)

15 : 3

Reducing each side of the ratio by ⅓:

15 × ⅓ : 3 × ⅓

5 : 1

3.)

12 : 6

Reducing each side of the ratio by (one-third) ⅓:

12 × ⅓ : 6 × ⅓

4 : 2

4.)

11 : 7

Increasing the proportion by 4 :

11 × 4 : 7 × 4

44 : 28

5.)

25 eggs : 3 hens

Increasing the number of hens by 3, then egg production will also triple

25 eggs × 3 : 3 hens × 3

75 eggs to 9 hens

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Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct