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Evgen [1.6K]
3 years ago
12

Which graph below shows the solution for the linear inequality y>-1/3x+1

Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

no graphs r shown...

Step-by-step explanation:

up 1 on y axis then up one for every 3 xs

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A standard die is rolled 600 times. How many times would you expect to roll a number
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Their are 3 numbers less than 4 on a die with 6 sides so 3 is 50% of 6 so then it should land on a number less than 4 50% of the 600 rolls to get 300
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3 years ago
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Drag the tiles to the boxes to form correct pairs.
FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
You need 120 pieces of chalk for art day. your teacher gar 6 boxes of chalk. Each box he's 18 pieces of chalk. Is that enough ch
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Answer:

No

Step-by-step explanation:

6 time 180 is only 108

108<120

There is not enough chalk.

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2 years ago
Read and analyze the following then solve. <br>ASAP ASAP ASAP ASAP ASAP ASAP ASAP ​
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<h3>JOH-EUN OHUEYO!!</h3>

(GOOD AFTERNOON)

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\frac{3}{6}  \times  \frac{1}{2}  =  \frac{1}{4}

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\frac{5}{7}  \times  \frac{3}{8}  =  \frac{15}{32}

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\frac{4}{8}  \times  \frac{1}{4}  =  \frac{1}{8}

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2 \frac{1}{2}  \times 3 \frac{2}{5}  = 8 \frac{1}{2}

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\frac{8}{14}  \times  \frac{1}{2}  =  \frac{2}{7}

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\frac{3}{4}  \div  \frac{1}{4}  = 3

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1 \frac{2}{3}  \div 2 \frac{3}{5}  =  \frac{25}{39}

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\frac{3}{9}  \div  \frac{2}{3}  =  \frac{1}{2}

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1 \frac{3}{7}  \div 2 \frac{1}{6}  =  \frac{60}{91}

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3 0
3 years ago
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Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per
eduard

Answer:

c)   6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation:  y=mx+b

(where m is the slope and b is the y-intercept)

Maria's line:  y=-\dfrac{5}{6}x+8

Therefore, the slope of Maria's line is -\frac{5}{6}

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}

Therefore, the linear equation of Nate's line is:

y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}

Rearranging this to standard form:

\implies y=\dfrac{6}{5}x+b

\implies 5y=6x+5b

\implies 6x-5y=-5b

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0
2 years ago
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