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Goryan [66]
3 years ago
11

Solve the inequality 6|-f +3|+7>7

Mathematics
1 answer:
natima [27]3 years ago
4 0

How might we solve this?

For a system with two variables, we need at least 2 equations to solve!

At best, I can simplify :)

9l - f > 0 is the simpler version!

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Solve the system by substitution.<br> y = -4x<br> 23 - 5y = 44
spin [16.1K]
<h3><u>Explanation</u></h3>
  • Given the system of equations.

\begin{cases} y =  - 4x \\ 23 - 5y = 44 \end{cases}

  • Substitute y = -4x in the second equation.

23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x =  \frac{21}{20}

  • Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

y =  - 4x \Longrightarrow y =  - 4( \frac{21}{20} ) \\ y =   \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y =  -  \frac{21}{5}  \\ y =  -  \frac{21}{5}

  • Answer Check by substituting both values in two equations.

<u>First</u><u> </u><u>Equation</u>

y =  - 4x \Longrightarrow  -  \frac{21}{5}  =  - 4( \frac{21}{20} ) \\  -  \frac{21}{5}  =   \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\  -  \frac{21}{5}  =  -  \frac{21}{5}  \:  \:   \: \checkmark

<u>Second</u><u> </u><u>Equation</u>

23 - 5y = 44 \\ 23 - 5( -  \frac{21}{5} ) = 44 \\23 -  \cancel{5}( -  \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \:  \:  \:  \:  \checkmark

Both equations are true for the value of x and value of y.

<h3><u>Answer</u></h3>

<u>\begin{cases} x =  \frac{21}{20}  \\ y =  -  \frac{21}{5}  \end{cases}</u>

<u>Coordinate</u><u> </u><u>Point</u><u> </u><u>form</u>

<u>( \frac{21}{20} , -  \frac{21}{5} )</u>

5 0
3 years ago
Help What is the graph???
marin [14]

We are given

y=\frac{x^2-4x+3}{x^2-9}

Vertical asymptotes:

Firstly, we will factor numerator and denominator

we get

y=\frac{(x-1)(x-3)}{(x-3)(x+3)}

We can see that (x-3) is common in both numerator and denominator

so, we will only set x+3 to 0

and then we can find vertical asymptote

x+3=0

x=-3

Hole:

We can see that (x-3) is common in both numerator and denominator

so, hole will be at x-3=0

x=3

Horizontal asymptote:

We can see that degree of numerator is 2

degree of denominator is also 2

for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator

and we get

y=1

now, we can draw graph

Graph:


6 0
3 years ago
PLEASE HELP ME PLEASEEEEEEEEE
dolphi86 [110]
That answer I C. I hope this helps!!!!
8 0
2 years ago
8y-10=6y-2 help me please I don't get this
murzikaleks [220]
8y-10=6y-2 

8y-10=6y-2:y  | Solve \ for \ y| 

8y=6y-2+10&#10; &#10;  |Add \ 10 \ to \ both \ sides| 

&#10;8y=6y+8&#10; &#10; 

&#10;8y-6y=8&#10; &#10;  |Subtract \ 6y \ from \ both \ sides|

2y=8 

y=8/2   |Divide \ both  \ sides \ by \ 2|

y=4 

\star \ Hence \ solved

6 0
3 years ago
Read 2 more answers
Abigail made a quilt that has the area of 4,800 sq. inches. The length of the quilt is 1 1/3 times the width of the quilt. What
Aliun [14]
For this case we model the problem as a rectangle.
 The area of the rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 4800 = (w) * ((1 1/3) * w)
 We rewrite:
 w ^ 2 = 4800 / (1 1/3)
 w ^ 2 = 3600
 w = root (3600)
 w = 60 in
 The long will be then:
 l = (1 1/3) * w
 l = (1 1/3) * (60)
 l = 80 in
 Answer:
 
the dimensions of the quilt are:
 
w = 60 in
 l = 80 in
8 0
3 years ago
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