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3 years ago

Write a compound inequality for the graph shown

Mathematics

1 answer:

never [62]3 years ago

3 0

Answer:

-1 ≤ x < 6 [ x ≥ -1 and x < 6 ]

Step-by-step explanation:

This is correct

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Solve (2/3)-(1/x)=5/6

Keith_Richards [23]

$\frac{2}{3} - \frac{1}{x} = \frac{5}{6}$ Multiply both sides by 3
$2 - \frac{1(3)}{x} = \frac{5(3)}{6}$ Simplify the numerators
$2 - \frac{3}{x} = \frac{15}{6}$ Multiply both sides by 6
$12 - \frac{3(6)}{x} = 15$ Simplify the numerator
$12 - \frac{18}{x} = 15$ Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6

Check your answer by plugging -6 in for the x in the original problem:

$\frac{2}{3} - \frac{1}{x} = \frac{5}{6}$ Plug in -6 for x
$\frac{2}{3} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{2}{3}$ to $\frac{4}{6}$ so all denominators are the same
$\frac{4}{6} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{1}{-6}$ to $\frac{-1}{6}$ for easier work
$\frac{4}{6} - \frac{-1}{6} = \frac{5}{6}$ Subtract the numerators (4 - (-1) )
$\frac{5}{6}$ = $\frac{5}{6}$

So, x = -6 .

5 0

3 years ago

schepotkina [342]

Answer:

38,653

Step-by-step explanation:

8 0

2 years ago

Solve this system by substitution. <br> Y=-8x-23<br> Y=-5x-14

matrenka [14]

$set\ them\ equal\ to\ each\ other \\ -8x-23=-5x-14 \\ -3x-23=-14 \\ -3x=9 \\ x= \frac{9}{-3} \\ x=-3 \\ \\ plug\ in\ OG\ equation \\ y=-8x-23 \\ y=-8(-3)-23 \\ y=24-23 \\ y=1 \\ \\ \boxed {(-3,1)}$

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3 years ago

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Jennifer is shopping with her mom. They pay 2 dollars per pound for tomatoes. What is the constant of proportionality in the sit

pantera1 [17]

2x=y where 2 is dollars per tomatoe, x is amount of pounds of tomatoes, and y is amount of money spent in total. say you got 3 pounds of tomatoes; the equation would be 2(3)=y. y=6. Hope I helped!

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3 years ago

Ibout lt

Vikki [24]

It is 60 times greater because 60 pennies=6 dimes . 6 dimes=60 pennies
Or
10 times greater because 6×10=60 60=6 dimes

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3 years ago

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