Describe in words the translation represented by the vector (2. – 1).
A. 2 units to the right and Duunit down
B. 1 unit to the right and 2 units down
C. 2 units to the left and Duunit down
D. 2 units to the left and 1 unit up

Answer:

g(x) = (x-3)³ is the transformed function.

Step-by-step explanation:

Horizontal shift:

If f(x) is the parent function.

Then horizontal shift can be expressed as:

, will shift left   units.

[tex]y = f(x - c)[/tex], will shift [tex]f(x)[/tex] right c units.

Given the parent function

f(x) = x³

From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.

Therefore, according to the rule, [tex]y = f(x - c)[/tex]:

g(x) = (x-3)³ is the transformed function.

From the graph,

It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.  

Therefore, g(x) = (x-3)³ is the transformed function.

Answer:

B. rectangle, square, quadrilateral, parallelogram, rhombus

Step-by-step explanation:

A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Answer:

x^2 + 4x + 3 with a remainder of 5

Answer:

can you take a picture of the options?

Step-by-step explanation:

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Answer:

8% increase

Step-by-step explanation:

The length after the increase:

30 x 1.1 = 33cm

The width after the increase:

20 x 1.05 = 21cm

New perimeter:

2(33 + 21) = 108 cm^2

Old perimeter:

2(30 + 20) = 100 cm^2

Percentage increase of area:

108 / 100 = 1.08 = 8% increase

Answer:

length_20 cm breadth_30 cm

Step-by-step explanation:

width of the rectangular_ 5/:. length of rectangular_10/:. primeter of rectangular_? now perimeter of rectangular_2(l+b). 2(20+30) __100#

Answer:

2

Step-by-step explanation:

32 divided by 4 is 8

1/4 of 8= 2

Answer:

$90

Step-by-step explanation:

Calculation for the total change in Darnel's bank account relative to where it started

Based on the information given what will be the total change in Darnel's bank account relative to where it started will be the total amount he earned on both Saturday and Sunday

Total change=$65+$25

Total change=$90

Therefore the total change in Darnel's bank account relative to where it started will be $90

Answer:

[tex] {y} = 6\sqrt{3} \:units [/tex]

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {y}^{2} = {(9 + 3)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = {(12)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = 144 - 36 \\ \\ {y}^{2} = 108 \\ \\ {y} = \sqrt{108} \\ \\ {y} = \sqrt{36 \times 3} \\ \\ {y} = \sqrt{ {6}^{2} \times 3} \\ \\ {y} = 6\sqrt{3}\:units [/tex]

Answer:

Exact Form: x= 29/2 ( the / is _ under 29)

Decimal form: x= 14.5

Mixed form: x= 14 1/2 ( the / is _ under 2)

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Answer:

It is not a function.

Step-by-step explanation:

Input (x)

Output (y)

An input can never have two outputs

2 = 20

2 = 40

makes it not a function

10,10,10,20 i hope that helps but if not its cause i dont really understand the question

A,paper crane B, 6

Step-by-step explanation:

the inequality sign is less than or squeal the highest number u can get is 6 before going higher than 30

Answer:

- 6 and ?/6

Step-by-step explanation:

Just look at my pictute Haha. And btw it is negative because the fractions did not have the same sign as in one was positive and one was negative! Hope I helped! Please give me brainliest! Have a great day Adios. :)

Answer:

$146.66

Step-by-step explanation:

I bopped this into a percentage calculator and this is what I got

Answer:

i dont get it

Step-by-step explanation:

Answer:

y=-4x+-8

Step-by-step explanation:

Put me the brainliest please

Answer:

False

Step-by-step explanation:

Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

hope it helps! please mark me brainliest

thank you! have a good day ahead

if u follow me, I will follow u back!

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

Answer:

g(x) = -1

Hope this helps.

Step-by-step explanation:

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(65,−16)

Equation Form:

x=65,y=−16

Step-by-step explanation:

Hey there!

The solution to the given system is (0, -10)

To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:

5x - 10 = 6x - 10

Now solve.

Add "10" to both sides:

5x = 6x

Subtract "5x" from both sides

0 = x

Now, we plug in the solved "x" value in an equation to solve for "y".

5(0) + y = -10

y = -10

We now know that the solution to the given system is (0, -10)

Hope this helps! Have an amazing day, and remember, you've got this!!

Answer:

B

2 times 3 times 11

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Answer:

112º

Step-by-step explanation:

(you may need a calculator for this)

first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D

Answer:

Thats right

Step-by-step explanation:

You typed the right answer :/

Answer:

10 pound=$37.4

Step-by-step explanation:

$22.44 divide by 6 = one pound $3.74

$3.74*10= $37.4