Can i get some help on this im confused!!!

What is the answer to this solution. -7r−4≥ 4r+2

tia_tia [17]

Answer:

The solution is:

$-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}$

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

$-7r-4\ge \:4r+2$

Add 4 to both sides

$-7r-4+4\ge \:4r+2+4$

Simplify

$-7r\ge \:4r+6$

Subtract 4r from both sides

$-7r-4r\ge \:4r+6-4r$

Simplify

$-11r\ge \:6$

Multiply both sides by -1 (reverses the inequality)

$\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)$

Simplify

$11r\le \:-6$

Divide both sides by 11

$\frac{11r}{11}\le \frac{-6}{11}$

Simplify

$r\le \:-\frac{6}{11}$

Therefore, the solution is:

$-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}$

Please check the attached line graph below.

7 0

3 years ago

REALLY NEED HELP ASAP!!!!!!!

stich3 [128]

Answer: OPTION C

Step-by-step explanation:

There are some transformations for a function f(x). Some of them are shown below:

1. If $f(x)+k$ , the function is shifted up "k" units.

2. If $f(x)-k$ , the function is shifted down "k" units.

3. If $f(x+k)$ , the function is shifted left "k" units.

4. If $f(x-k)$ , the function is shifted right "k" units.

In this case you know that the function "g" is the transformation of the function "f".

Observe that the function "f" intersects the y-axis at:

$y=2$

And the function "g" intersects the y-axis at:

$y=-2$

Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".

Then, the rule that shows that transformation is:

$g(x)=f(x)-4$

5 0

3 years ago

PLEASE ANSWER 8TH GRADE MATH QUESTION!

Alina [70]

Wanna show a picture first

4 0

3 years ago

Please help need it ASAP!!!✋

FromTheMoon [43]

Answer: Its a little blurry I cant se

Step-by-step explanation:

3 0

3 years ago

Please help me I need to get this done!!!

alukav5142 [94]

Answer:

y=-3x+4

Step-by-step explanation:

The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.

The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.

The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.

The final answer is y=-3x+4.

7 0

3 years ago