which ordered pair is a solution of the equation

f(x)−4 involves translating the graph of f(x) DOWN by 4 units.

4f(x) involves vertical stretching of the graph by a factor of 4.

[tex]\longmapsto[/tex]The value of "x" is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A trapezium ABCD in which AB || CD such that

Now,

[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]

[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]

[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]

[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]

[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]

[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]

[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]

[tex]\bf\longmapsto \:x = 5[/tex]

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

12x=4y........................................

Answer:

C. Linearly Independent, Unique solution

Step-by-step explanation:

x=11/2

y=7/4

z=2

Answer:

[tex]\boxed{\sf m=-\frac{7}{5}}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

→ [tex]\sf \left(x_1,\:y_1\right):\left(-3,\:4\right)[/tex]

→ [tex]\sf \left(x_2,\:y_2\right):\left(2,\:-3\right)[/tex]

[tex]\sf m=\cfrac{-3-4}{2-\left(-3\right)}[/tex]

[tex]\sf m=-\cfrac{7}{5}[/tex]

_________________________

Answer:

28

Step-by-step explanation:

The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)

Hope this helps!

Answer:

72km/h

Step-by-step explanation:

Bus - 45 mins at 40km/h

Car - 25 mins at ?

First, find the distance travelled by the bus (since, the journey of the two vehicles are the same, the distance would be the same as well)

Now we can find the speed of the car using the equation

Answer:

c) 2⁻⁹

Step-by-step explanation:

1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3

Answer:

c

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ , then

[tex](8)^{-3}[/tex]

= [tex](2^3)^{-3}[/tex]

= [tex]2^{3(-3)}[/tex]

= [tex]2^{-9}[/tex] → c

Answer:

3 is -15/2 and 4 is -3/2

Step-by-step explanation:

If im not mistaken these are the awansers

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

Can i get braineist pls

Answer:

1 hour 36 minutes

Step-by-step explanation:

Amount of time the journey takes = 80km ÷ 50km/h

                                                        = 1.6h

                                                        = 1h 36mins

Answer:

LN = 37

Step-by-step explanation:

The Segment Addition Postulate tells us that LM+MN = LN

Answer:

x=6

Step-by-step explanation:

Step 1: Cross-multiply.

x−3  / 5 = 6 /10

(x−3)*(10)=(6)*(5)

10x−30=30

Step 2: Add 30 to both sides.

10x−30+30=30+30

10x=60

Step 3: Divide both sides by 10.

10x 10 = 60  10

Answer:

hope it helps you................

Answer:

[tex]u(2) = 3[/tex].

Step-by-step explanation:

A function [tex]f: A \to B[/tex] is a set of ordered pairs ([tex]2[/tex]-tuples in the form [tex](a,\, b)[/tex]), such that for any [tex]a \in A[/tex], there is exactly one [tex]b \in B[/tex] such that [tex](a,\, b) \in f[/tex].

In other words, for any element [tex]a[/tex] in the domain of this function, there must be exactly one ordered pair with this [tex]a\![/tex] as the first element.

If [tex]f[/tex] meets these requirements, then for any [tex]a \in A[/tex] and [tex]b \in B[/tex], write [tex]f(a) = b[/tex] if and only if [tex](a,\, b) \in f[/tex].

In other words, write [tex]f(a) = b[/tex] ([tex]f[/tex] maps [tex]a[/tex] to [tex]b[/tex]) if and only if there is an ordered pair in [tex]f\![/tex] with [tex]a\![/tex] as the first element and [tex]b\![/tex] as the second element.

The [tex]u[/tex] in this question is indeed a set of ordered pairs and meet the requirements for being a function from [tex]\lbrace 1, 2, 3\rbrace[/tex] to [tex]\lbrace 2,\, 3,\, 4 \rbrace[/tex].

The question is asking for the value of [tex]u(2)[/tex]. Thus, it would be necessary to find an ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element.

The only ordered pair in [tex]u[/tex] with [tex]2[/tex] as the first element is [tex](2,\, 3)[/tex]. Thus, [tex]u\![/tex] maps [tex]2\![/tex] to [tex]3\![/tex], such that [tex]u(2) = 3[/tex].

Answer:

b = 12.5 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 25 and h = 4 , then

[tex]\frac{1}{2}[/tex] × 4 × b = 25 , that is

2b = 25 ( divide both sides by 2 )

b = 12.5 ft

NO THEY ARE NOT

YOUR ANSWER IS FALSE 1ST ONE

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The terms 3x²y and -5xy² aren't like terms,

So, the Correct choice is :

Answer:

D.

Step-by-step explanation:

It is simple. Subtract 7* from 65* to get you 58* F.

Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

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

Explanation:

Let's convert x = 53 to its corresponding z score

z = (x-mu)/sigma

z = (53-65)/4

z = -12/4

z = -3

This indicates we're 3 standard deviations below the mean.

Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.

(0.3%)/2 = 0.15%

This then converts to 0.0015 when we move the decimal point 2 spots to the left.

Answer:

Step-by-step explanation:

Slope: 7/1

y-intercept: (0,-4)

Start in the y-intercept (0,-4). Go up 7 and 1 to the right. You only need two points to trace a line.

Answer:

what expressions

Step-by-step explanation:

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

hope this help

Answer:

8=2/3c

Step-by-step explanation:

Each bowl requires 2/3 pounds of clay

To make 8 bowls, Jamal needs 5 1/3 pounds of clay

1. The equation to represent amount is, x= b*c

2. Amount of clay Jamal needs to make 8 bowls is 8c.

A mathematical statement that is made up of two expressions connected by an equal sign.

let the amount of clay be x.

The number of bowls be b and c is pounds of clay.

So, Total cost

x= b * c

Now, if number of bowls are 8 then

x= 8*c

x=8c

So, the amount of clay Jamal needs to make 8 bowls is 8c.

Learn more about equation here:

https://brainly.com/question/16255566

#SPJ5

Answer:

x=6

Step-by-step explanation:

Combine the equations and make them equal 180 because they make a linear angle. Simplify and solve. Good luck! 23×+3+6x+3=180

These two angles are supplementary. Since lines V and W are parallel, if we look at the corresponding angles for each given expression, we can see that they are congruent.

23x + 3 + 6x + 3 = 180

29x + 6 = 180

29x = 174

x = 6

Hope this helps!! :)

[tex]\\ \sf\longmapsto 3x-4=y[/tex]

[tex]\\ \sf\longmapsto y=3x-4[/tex]

Done !

Here

Note:-

Standard form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

Answer:

[tex]⟼3x−4=y \\ \\

isolate y

\begin{gathered}\\ \sf\longmapsto y=3x-4\end{gathered}⟼y=3x−4

Done !

Here

m=3

b=-4

Note:-

Standard form

\begin{gathered}\\ \sf\longmapsto y=mx+b\end{gathered}⟼y=mx+b

[/tex]

Answer:

4.79

Step-by-step explanation:

How to get the mean:

Step 1: Add all numbers together

This was 19.16

Step 2: Divide the total by the amount of things being added (4 because 4 days)

This was 4.79

Hope this helps

Answer:

y = -2/3x - 2

Step-by-step explanation:

Picking two points on the line: (0,-2) & (-3,0)

Using the slope formula:

[tex]\frac{x2-x1}{y2-y1}[/tex]

= (0-(-2))/(-3-0)

= 2/-3

= -2/3

y = -2/3x + c

Subsituting (0,-2) into 'y = -2/3x+c':

-2 = 0 + c

c= -2

Hence,

y = -2/3x -2

Hope this helps, and be sure to have a wonderful time ahead at Brainly! :D

Feel free to mark this as brainliest :D