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inn [45]
3 years ago
8

How do I solve and graph this?

Mathematics
1 answer:
lianna [129]3 years ago
3 0
3x -y ⩾ 6

3x - 6 ⩾ y

now, with inequalities, what we do is, we graph the line of 3x - 6 = y, and then we shade the "true region".

if we pick a point on say hmmm (4, 0), namely x = 4 and y = 0, we can plug that in the inequality and see what we get,

3(4) - 0 ⩾ 6

12 - 0 ⩾ 6

12 ⩾ 6   

is 12 really greater or equals to 6?  well yes, therefore, the point (4, 0) lies on the "true region", since it's true, 12 is indeed ⩾ 6, so, where that point is, we shade.

now, the ⩾ means equals to or greater, and therefore, since the values could also equal the boundary points, the line is a solid line, because it includes the line itself, as well as the shading.

check the picture below.

You might be interested in
1 4/5+ 2 2/3=what<br><br> 5 7/8 - 3 1/2=what<br> 1 1/2+ 3 1/5=what<br> 7 5/6- 5 1/2=what
lilavasa [31]

Answer:

1.) 4 7/15

2.) 2 3/8

3.) 4 7/10

4.) 2 1/3

Step-by-step explanation:

1.) 1 4/5 + 2 2/3

3 + 4/5 + 2/3

LCD = 15

3 + 12/15 + 10/15

3 + (12 + 10)/15

3 + 22/15

3 + 1 7/15

4 7/15

2.) 5 7/8 - 3 1/2

(5 x 8 + 7)/8 - 3 1/2

47/8 - 3 1/2

47/8 - (3 x 2 + 1)/2

47/8 - 7/2

LCD = 8

47/8 - 28/8

19/8

2 3/8

3.) 1 1/2 + 3 1/5

4 + 1/2 + 1/5

LCD = 10

4 + 5/10 + 2/10

4 + (5 + 2)/10

4 7/10

4.) 7 5/6 - 5 1/2

(7 x 6 + 5)/6 - 5 1/2

47/6 - 5 1/2

47/6 - (5 x 2 + 1)/2

47/6 - 11/2

LCD = 6

47/6 - 33/6

(47 - 33)/6

14/6

7/3

2 1/3

3 0
3 years ago
Read 2 more answers
Help!!<br> f (x) =-3x+25; Find f(x)=52
melamori03 [73]
<h3>Solution for -3x+25=52 equation:</h3>

Simplifying

-3x + 25 = 52

Reorder the terms:

25 + -3x = 52

Solving

25 + -3x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.

25 + -25 + -3x = 52 + -25

Combine like terms: 25 + -25 = 0

0 + -3x = 52 + -25

-3x = 52 + -25

Combine like terms: 52 + -25 = 27

-3x = 27

Divide each side by '-3'.

x = -9

Simplifying

x = -9

4 0
2 years ago
Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

3 0
2 years ago
I am giving 50 points. I only need help with this last page! Please someone help me.
tia_tia [17]
All u gotta do it plug it into ur calculator and you will get a decimal answer
5 0
4 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
777dan777 [17]

Answer:   (C) 13,120

<u>Step-by-step explanation:</u>

Given the sequence {4, 12, 36, 108, ... , 8748} we know that the first term (a) is 4 and the ratio (r) is \dfrac{12}{4}=3

Input the values above into the Sum formula:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{4(1-3^8)}{1-3}\\\\.\quad=\dfrac{4(1-6561)}{-2}\\\\.\quad=\dfrac{4(-6560)}{-2}\\\\.\quad=-2(-6560)\\\\.\quad=13,120

5 0
3 years ago
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