3x translate when the function is changed to f(x) =
3(x-2)?
How will the graph of the function f(x)
A. shift 2 units right
B. shift 2 units down
C. shift 2 units left
D. shift 2 units up

Answer:

2x + 2x =  4x

Step-by-step explanation:

Answer:

(c) The equation, y = -3x + 100, represents the Model S tank.

(f) The Model T tank drains the fastest at 3.5 gallons per minute.

Step-by-step explanation:

Given

See attachment for models S and T

First, we calculate the equation of both models

Model S

[tex](x_1,y_1) = (0,100)\\\\(x_2,y_2) = (6,82)[/tex]

Calculate drainage rate (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{82-100}{6-0}[/tex]

[tex]m = \frac{-18}{6}[/tex]

[tex]m = -3[/tex] -- This implies that model S drains at 3 gallons per minutes

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = -3(x - 0)+100[/tex]

[tex]y = -3(x)+100[/tex]

[tex]y = -3x+100[/tex]

Model T

[tex](x_1,y_1) = (0,100)\\\\(x_2,y_2) = (4,86)[/tex]

Calculate drainage rate (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{86-100}{4-0}[/tex]

[tex]m = \frac{-14}{4}[/tex]

[tex]m = -3.5[/tex] -- This implies that model T drains at 3.5 gallons per minutes

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = -3.5(x - 0)+100[/tex]

[tex]y = -3.5(x)+100[/tex]

[tex]y = -3.5x+100[/tex]

From the calculations above, the following options are true:

(c) and (f)

It is required to find which statements are true.

The statements that are true are

The equation, y = -3x + 100, represents the Model S tank.

The Model T tank drains the fastest at 3.5 gallons per minute.

Equation of a line is

[tex]y=mx+c[/tex]

where,

[tex]y=\text{Gallons of water left}[/tex]

[tex]x=\text{Minutes passed}[/tex]

[tex]m=\text{Slope}=\dfrac{\Delta y}{\Delta x}[/tex]

[tex]c=\text{Y intercept}[/tex]

The equation of the line for model S is

[tex]y-100=\dfrac{82-100}{6-0}(x-0)\\\Rightarrow y-100=-3x\\\Rightarrow y=-3x+100[/tex]

The option C is true.

The equation of the line for model T is

[tex]y-100=\dfrac{86-100}{4-0}(x-0)\\\Rightarrow y-100=-3.5x\\\Rightarrow y=-3.5x+100[/tex]

The slope or rate of drain is 3.5 gallons per minute.

So, option F is true.

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Answer:

When there is no width, the area is 0m²

Step-by-step explanation:

Expressing the area of a rectangle as a function of its width:

Area of a rectangle = Length * width

Since the area of rectangle is related to the width by the multiplication operatkr. We can conclude from the options given that ; if the value of width = 0 ; the the area of rectangular plot = 0

When x :

Area = Length * width

Area = Length * 0

Area = 0

Area = Length * 0

Aea = 0

Answer:

6x

Step-by-step explanation:

3*2x=6x

Answer:

B : 18M²

Step-by-step explanation:

2 Triangles ½base times height then 5 times 3

Answer:

18

Step-by-step explanation:

A = 1/2 (a+b) × h

A= 1/2 (7+5) × 3

A = 18

sorry if I got it wrong

Answer:

A

Step-by-step explanation:

I think its A if its the muli question I just answered

sorry if I'm wrong!

have a nice day!

Answer:

square with sides of 6 in

Step-by-step explanation:

Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.

Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.

Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in

Answer:

8y and 6xy i think

Answer:

The answer is x<-9

Step-by-step explanation:

x+5<-4

You move it to the right and you change the sign

This is what I mean: x<-4-5

Then you Calculate the Difference

So it will be: x<-9 which is your answer

Answer:

Step-by-step explanation:

y = mx +b

m- Slope ; b - y-intercept

1) y = 2x + 5

Slope = 2

y-intercept = 5

2) 2y = 4x - 5

 Divide the equation by 2

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

Slope = 2

y-intercept = [tex]\frac{-5}{2}[/tex]

3) 3x + 6y = 8

           6y = -3x + 8

            [tex]\frac{6y}{6}=\frac{-3x}{6}+\frac{8}{6}\\\\ y = \frac{-1}{2}x+\frac{4}{3}\\\[/tex]

Slope = -1/2

y-intercept = 4/3

Answer:

Hello, The answer is LxW Dived by 2 sorry for being second

Step-by-step explanation:

I'm in sixth grade so i should know this.

Answer:

17/21

Step-by-step explanation:

[tex]21x - 3 = 14 \\ 21x = 14 + 3 \\ 21x = 17 \\ x = \frac{17}{21} [/tex]

Answer:

x=log,21(14)+3 or x=*3.86682

Step-by-step explanation:

Answer:

I believe its G. 2x<8

Step-by-step explanation:

An open circle means that it is only less than OR more than, and since the arrow is pointing towards the left, it means that it is less than 8. I really hope this helps!

Answer:

height = 5 in

Step-by-step explanation:

Area =h x (b1+ b2)/2

50 = h x (12 + 8)/2

50 = h x 10

h = 5

Answer:

$12,741.4

Step-by-step explanation:

If there are no additional deposits, the final balance is $12,741.4, and the the total compound interest is $741.4.

Answer:

1.35m

Step-by-step explanation:

A 2.7 meter ladder leans against a house forming a 30° angle with the house. Exactly how far is the base of the ladder from the house?

We solve the above question using the Trigonometric function of Sine

cos theta = Opposite/Hypotenuse

From the question

Opposite = Distance of base of the ladder from the house = x

Hypotenuse = Length of the ladder = 2.7m

Theta = 30°

Hence,

sin 30 = x/2.7 m

Cross Multiply

x = sin 30 × 2.7m

x = 1.35m

Option b is correct.

The base of the ladder from the house is 1,35 meters, the correct option is B.

Given

A 2.7-meter ladder leans against a house forming a 30° angle with the house.

The sine of an angle is a function that relates to the sides of a right triangle.

Let the base of the ladder from the house be x.

The height of the base of the ladder from the house is given by;

[tex]\rm Sin\theta =\dfrac{Opposite \ side}{Hypotenuse}[/tex]

Substitute all the values in the formula

[tex]\rm Sin\theta =\dfrac{Opposite \ side}{Hypotenuse}\\\\\rm Sin30=\dfrac{h}{2.7}\\\\h = 2.7 \times sin30\\\\h=2.7 \times 0.5\\\\h=1.35 \ meter[/tex]

Hence, the base of the ladder from the house is 1,35 meters.

To know about trigonometric identities click the link is given below.

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D, because both are mirroring angles

Answer:

D

Step-by-step explanation:

60 and 4x - 20 are vertically opposite angles and are congruent, then

60 = 4x - 20 ← is the equation to solve for x

Answer: i think the domains are

1

,

3

,

5

,

10

Answer:

127.5

Step-by-step explanation:

First, we need to find the value of x

since the two angles are connected to a straight line, their sum will be 180 (degrees)

[tex](2x+7)+(6x-9)=180^{o}[/tex]

add the angles together

[tex]\therefore 8x-2=180[/tex]

add 2 to both sides

[tex]\therefore 8x=182[/tex]

divide out by 8

[tex]\therefore x = 22.75[/tex]

now we must determine which angle has the greater value (not visually)

[tex]angle A = 2x+7[/tex]

[tex]\therefore \angle{A} = 2(22.75)+7[/tex]

[tex]\therefore \angle{A} = 45.5+7[/tex]

[tex]\therefore \angle{A} = 52.5[/tex]

[tex]angle B = 6x-9[/tex]

[tex]\therefore \angle{B} = 6(22.75)-9[/tex]

[tex]\therefore \angle{B} = 136.5-9[/tex]

[tex]\therefore \angle{B} = 127.5[/tex]

[tex]\angle{B}>\angle{A}\ \because\ 127.5>52.5[/tex]

so the answer would be 127.5

Answer:

The least amount of numbers that he can work at his job to have enough for the headphones he wants is 17 hours.

Step-by-step explanation:

To find the number of hours you could divide the cost of the headphones by the amount he earns each hour so you would do $119/ 7 to get 17 and then you could check your answer with multiplication by multiplying 7 * 17 to get 119 which shows that he has to work at least 17 hours to get the headphones he wants.

$119 / 7 = 17

17 * 7 = 119

Answer:

I think D but im bad at 5hat stuff

Step-by-step explanation:

The answer is Trapezoid

What is a Trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs.

Given data ,

The trapezoid cannot be mapped onto itself

The isosceles trapezoid has no rotational symmetry. There is no way to rotate it such that it can be mapped onto itself.

Square , Regular Hexagon and Regular Pentagon all have rotational symmetry

Hence , Trapezoid cannot be mapped onto itself

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Answer:

x = 125

Step-by-step explanation:

x<125

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 00 and solve.

Answer:

Mika's estimated the sum to be 216. The actual sum is 216.27

Step-by-step explanation:

Mika:

189.27 = 189

15.8 = 16

11.2 = 11

189 + 16 + 11 = 216

Actual:

189.27 + 15.8 + 11.2 = 216.27

Answer:

a = 15, b = -14

Step-by-step explanation:

From the question,

a/5 - b/2 = 10

Multiply all through by 10

(a/5)10 - (b/2)10 = 10×10

2a - 5b = 100...................... Equation 1

a - b = 29 ........................ Equation 2

Solving equation(1 ) and equation (2) simultaneously

using elimination  method,

multiply equation (2) by 2.

2a - 2b = 58.................... Equation 3

Substract equation 3 from equation 1

2a - 2a -5b-(-2b) = 100-58

0 - 5b+2b = 42

-3b = 42

b = 42/-3

b = -14.

Substitute the value of b into equation 2

a - (-14) = 29

a +14 = 29

collect like terms

a = 29-14

a = 15.

Hence, a = 15, b =-14

Answer:

m=25

Step-by-step explanation:

A. m=25

B.15

Answer:

90 - 37 will give a solid 53

Step-by-step explanation:

the two sums of A to C to C to B so 22.9(C, B) and 14.1 (A, C)

and know that this angle is 90 degrees, my guess would be to subtract the to given numbers with degrees to earn the sum so 22.9 + 14.1 equals 37

now we add angle degrees and sum and subtract one another,

90 - 37

Answer: 12.6 years

Step-by-step explanation: