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nirvana33 [79]
3 years ago
9

Solve the inequality and graph its its solution -x/6 < 3​

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

Option C

Step-by-step explanation:

-x/6 ≤ 3

6(-x/6) ≤ 3 × 6

-x ≤ 18

-1(-x) ≤ -1(18)

x ≥ -18

So the line starts from -18 and extends infinitely to the right.

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Bob can ride his bike 6.5 miles in 20 minutes what is the rate of speed in miles per hour
vladimir2022 [97]

Answer:

19.5 miles per hour

Step-by-step explanation:

We need to change 20 minutes to hours

1 hours = 60 minutes

20 minutes * 1 hour/60 minutes = 1/3 hour

To find miles per hour we take the miles and divide by hours

6.5 miles

---------------- = 19.5 miles per hour

1/3 hours

7 0
3 years ago
Read 2 more answers
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3
dangina [55]

Answer:

for first parallelogram

Area of parallelogram = b*h= 3.5*2= 7square unit

for second parallelogram

Area of parallelogram = b*h = 1.8 square unit

or, 3*h = 1.8

h= o.6unit

For third parallelogram

Area of parallelogram = b*h = 20.4square unit

4*b= 20.4

b=5.1 unit

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
Solve for x and y:<br> 3/x -1/y =13/10<br> 1/x + 2/y =9/10
harkovskaia [24]

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...

  3x' -y' = 13/10

  x' +2y' = 9/10

Adding twice the first equation to the second, we get ...

  2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)

  7x' = 35/10 . . . . . . simplify

  x' = 5/10 = 1/2 . . . . divide by 7

Using the first equation to find y', we have ...

  y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5

So, the solution is ...

  x = 1/x' = 1/(1/2) = 2

  y = 1/y' = 1/(1/5) = 5

  (x, y) = (2, 5)

_____

The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.

3 0
3 years ago
A bakery has three types of pie: apple, cherry, and peach. There are four times as many apple pies as peach pies. What is a poss
Licemer1 [7]

Answer:

Step-by-step explanation:

Let us represent:

Apple pie = a

Cherry pie = c

Peach pie = p

A bakery has three types of pie: apple, cherry, and peach.

There are four times as many apple pies as peach pies.

a = 4p

5 0
3 years ago
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