What are the coordinates of (2. -7) after the translation
(x,y) → ( x-2, y + 3)

Answer:

Step-by-step explanation:

|3x + 12| < 2 |x - 6|

|3(x + 4)| < 2 |x - 6|        ⇒  -4 and 6 are "zeros"

1°.  x∈(-∞, -4> ⇒ |3x + 12| = - (3x + 12)  and  2|x - 6| = -2(x-6)

-(3x + 12) < -2(x - 6)

-3x - 12 < -2x + 12

  -x < 24

x > -24  ∧ x∈(-∞-4> ⇒ x∈(-18, -4>

2°.  x∈(-4, 6)  ⇒ |3x + 12| = 3x+12  and  2|x - 6| = -2(x-6)

3x + 12 < -2(x - 6)

3x + 12 < -2x + 12

  5x < 0

x < 0  ∧ x∈(-4, 6)  ⇒ x∈(-4, 0)

3°.  x∈(6, ∞)  ⇒ |3x + 12| = 3x+12  and  2|x - 6| = 2(x-6)

3x + 12 < 2(x - 6)

3x + 12 < 2x - 12

  x < -24

x < -24  ∧  x∈(6, ∞)  ⇒ x∈∅

x∈1°∪2°∪3°

x∈(-24, -4>∪(-4, 0)∪∅

x∈(-24, 0)   ⇒   -24 < x < 0

Answer:

5 - 3y

Step-by-step explanation:

Step 1: Convert product of y and 3 into numbers

Product = multiply

y = y

3 = 3

3y

Step 2: Convert 5 minus into numbers

minus = subtract

5 - 3y

Answer:

5-3y

Step-by-step explanation:

Answer:

30+0.05x where x is the amount of data over the limit in megabytes.

Answer:

5

Step-by-step explanation:

Well if y=5x then, the constant variation would have to be 5. Hope that helps.

Answer:

The correct answer is b. 6

Answer:

6

Step-by-step explanation:

^_^   yep

Answer:

10,300

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

Answer:14

Step-by-step explanation:

3x + 3 + 3x - 1 = 3x + 8

6x + 2 = 3x + 8

3x + 2 = 8

3x = 6

x = 2

HJ= 3(2) + 8 =6 + 8 = 14

HI= 3(2) - 1 = 6 - 1 = 5

IJ = 3(2) + 3 = 6 + 3 = 9

The numerical value of the length HJ such that will be  I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8 will be 14.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that the line HJ has a length of 3x+8

HJ = 3x+8

The line segment HI has a length of 3x -1

HI = 3x -1

The line segment IJ is 3x + 3

IJ = 3x + 3

Since line HJ = HI + IJ

3x -1 +  3x + 3 =  3x+8

x= 2

The length of HJ will be

HJ = 3(2) + 8

HJ = 14 hence, 14 will be the correct answer.

For more about line segment

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Answer:

x subtracted by negative 8 is equal to 14.

Step-by-step explanation:

Answer:

A number minus eight is equal to fourteen

or

Eight less than a number is equal to fourteen

both should be correct

First set the equation equal to 0 by subtracting n from both sides.

That leaves us with 8n² - 11n = 0.

Since the GCF on the left is n, we can

factor it out to get n(8n - 11) = 0.

So either n = 0 or 8n - 11 = 0.

Solving for n in the second equation, we get n = 11/8.

So our solution is {0, 11/8}.

Step-by-step explanation:

f o g(x)

= f(x - 4)

= (x - 4) + 7

= x + 3.

Answer:

cdf

Step-by-step explanation:

Answer:

2500 + 215d

Step-by-step explanation:

Answer:

Step-by-step explanation:

When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.

Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.

After m months, Timon's debt d will be ...

  d = 500m + 2000

Answer:

D: 5.1

Step-by-step explanation:

Answer:

[tex]d =\sqrt{218}[/tex]

Step-by-step explanation:

[tex]d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = \sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\d = \sqrt{(3+4)^2+(-7-6)^2} \\\\d = \sqrt{(7)^2 +(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218} \\\\Decimal = 14.7648\\=14.8[/tex]

Steps to solve:

6n + 5 < 11

~Subtract 5 to both sides

6n < 6

~Divide 6 to both sides

n < 1

Best of Luck!

Answer:

n > -1

Step-by-step explanation:

1.1     Pull out like factors :

  -6n - 6  =   -6 • (n + 1)

2.1    Divide both sides by  -6  

Remember to flip the inequality sign:

2.2      Subtract  1  from both sides

           n > -1

2.3      Inequality plot for

        -6.000 X  - 6.000  >  0

Answer:

-12 - 10i

Step-by-step explanation:

We are subtracting 3 + 2i from -9 - 8i.  Rewrite the left side as -3 - 2i and then ADD this result to -9 - 8i:

-9 - 8i

-3 -2i

-----------

-12 - 10i

Answer:

-9-8i)-(3+2i)

= -9-8i-3-2i

Separate i and the numbers

= (-9-3)+(-8i-2i)

= -12-10i

Step-by-step explanation:

-21 + 28m = 8m + 19

20m = 40

m = 2

Answer:

2 ft

Step-by-step explanation:

Given that Dimensions of rectangular plot are: 26 feet by 30 feet

Length is 26 ft

Width is 30 ft

Area of rectangle = Length [tex]\times[/tex] Width

So, area of given rectangular field is = 26 [tex]\times[/tex] 30 = 780 sq ft

Let the width of the walk = [tex]x[/tex] ft

Kindly refer to the attached image for the given scenario.

Dimensions of the plot with walk = (26+2[tex]x[/tex]) ft by (30+2[tex]x[/tex]) ft

So, area of plot without walk = 780 sq ft

Area of walk = Area with walk - Area of plot

Now, we are given that area of walk = 240 sq ft

So, we get:

240 = (26+2[tex]x[/tex]) [tex]\times[/tex] (30+2[tex]x[/tex]) - 840

[tex]\Rightarrow (26+2x)(30+2x)=780+240\\\Rightarrow 780+4x^2+112x=780+240\\\Rightarrow 4x^2+112x-240=0\\\Rightarrow x^2+28x-60=0\\\Rightarrow x^2+30x-2x-60=0\\\Rightarrow x(x+30)-2(x+30)=0\\\Rightarrow x = 2, -30\ ft[/tex]

[tex]x[/tex] can not be negative, so [tex]x = 2\ ft[/tex]

So, the width of the walk = 2 ft

Answer:

The vertical line test

Step-by-step explanation:

Basically, draw vertical lines over the function.

If each value of x has a different y-value, then it is a function.  

The midpoint formula is as follows

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Plug in the information we know.

[tex](1,-2)=(\frac{7+x_2}{2},\frac{2+y_2}{2})[/tex]

Solve for [tex]x[/tex]

[tex]1=\frac{7+x_2}{2}[/tex]

[tex]2=7+x_2[/tex]

[tex]x_2=-5[/tex]

Solve for [tex]y[/tex]

[tex]-2=\frac{2+y_2}{2}[/tex]

[tex]-4=2+y_2[/tex]

[tex]y_2=-6[/tex]

The other endpoint of the segment is [tex](-5,-6)[/tex]

Hope this helps.

頑張って!

Answer: D

Step-by-step explanation: hope this helped u.

Answer: 2.13

Step-by-step explanation:

Plug x (1.5) into the equation.

e^(1.5) - e^(-1.5)

Then, divide by 2.

Your answer will be 2.129 and then round to 2.13.

Answer:

2.13

Step-by-step explanation:

Answer:

Alright bear with me, this is gonna be a long one.

The Y INTERCEPT

So the y-intercept is going to be where the line intersects the Y-AXIS. The y-axis is the vertical part of the graph with the numbers on it.

So, for the first one, the line goes through the origin which means that that the y intercept is going to be (0,0)

The next one, the line intersects the y-axis at (0,1)

Here's a tip: the y-intercept will always have 0 as it's x coordinate.

The Slope

Alright, the slope of a vertical line can be found using an equation. Most typically people will describe the slope as RISE/RUN meaning how many units you move up "rise" and how many units you move horizontally "run" to touch the line. Of course, it's easier when you can identify points.

So to make this a little bit easier to understand, I will show you how to use the equation to find the slope.

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

So for this equation, what you need is two coordinates. So for the first graph, I'm going to use the points (0,0) and (1,3)

[tex]\frac{3-0}{1-0}[/tex]

So we make the three y2 because it's the second y coordinate and the y1 would be 0. Same applies to the x coordinates but use the x values.

the slope for the first graph would be 3/1

FOR THE SECOND GRAPH

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

Here's our equation now pick two points. I'll be using (-5,4) and (0,1)

[tex]\frac{1-4}{0-(-5)}[/tex]

Don't forget that a negative-a negative = positive

which will leave you with

[tex]\frac{-3}{5}[/tex]

since it can't be simplified any further, your slope is -3/5.

I hope I was able to help you understand this a bit better :)  

Answer:

A) 46

Step-by-step explanation:

230+9x=14x

230=5x

230/5=x

x=46

CHECK:

230+9(46)=644

14*46=644

Answer:

-8 I think on a graph right

Answer:

-8

Step-by-step explanation:

on a number line -1 is one unit away add we just add 7 units. To get -8!

Answer:

37c

Step-by-step explanation:

6c+(7c+7c)+8c+9c

6c+14c+(8c+9c)

6c+(14c+17c)

6c+31c

37c