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erastovalidia [21]
3 years ago
10

I don’t understand why is it “not possible”.

Mathematics
1 answer:
Zanzabum3 years ago
5 0

Let's solve the inequalities: we have

-\dfrac{2}{3}x

and

\dfrac{3}{4}x

Since the two inequality must be true at the same time (there is an "and" between the two), we should find a number that is, at the same time, greater than -6, and smaller than -8. But since -6 is greater than -8, a number greater than -6 is automatically greater than -8 as well. So, it is impossible for a number to be greater than -6 and smaller than -8.

If negative numbers confuse you, this example shows the same (impossible) logic: we can't ask for a number to be greater than 10, but smaller than 3.

As for the second exercise:

3x-9\leq 9 \iff 3x \leq 18 \iff x \leq 6

4-x\leq 3 \iff -x \leq -1 \iff x \geq 1

So, a number satisfies this system if it is smaller than 6 or greater than 1. This means that at least one of the conditions must be satisfied, and this is always the case:

  1. If we choose a number smaller than 1, the second condition is met
  2. If we choose a number between 1 and 6, both are met
  3. If we choose a number greater than 6, the first condition is met

So, whatever number we choose, at least one of the conditions will be true, and the logical "OR" will be satisfied.

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MakcuM [25]

Answer:

y = (x+2)^2 - 3

Step-by-step explanation:

Because you are shifting the graph down, the y-coordinate is being changed, so you subtract 3 from the original equation.  Because you are shifting to the left, you have to add to the x-value.  (It's kind of backwards from what you'd think.)

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3 years ago
Identify the equation that describes the line in slope-intercept form. slope =1; y-intercept =1\3
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Answer: y=x+1/3

Step-by-step explanation:

Y=mx+b form

8 0
3 years ago
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many
Svetllana [295]
The correct answer is D) 10.

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6 0
3 years ago
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If someone does every answer I’ll give brainliest show work too
Jobisdone [24]
68% is 0.68 and 17/25

3/8 is 0.375 and 37.5%

0.875 is 87.5% and 7/8

alyssa got 40% right



4m+t is -18

t/mr is 1/6 or 0.16 repeating

3m-5t is -2

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3 0
3 years ago
Excursion boat on the river takes 2 1/2 hours to make the trip to a point 12 miles upstream and to return if the rate at which t
Mama L [17]

Answer:

Let the current speed be "c";

Then the boat speed in still wate is "5c":

-----------------------

Upstream speed:

distance = 12 miles ; rate = 5c-c = 4c mph ; time = 12/4c = 3/c hrs

---------------------------

Downstream speed:

distance = 12 miles ; rate = 5c+c = 6c mph ; time = 12/6c = 2/c hrs

Step-by-step explanation:

Equation:

time + time = 2 1/2 hrs

3/c + 2/c = 5/2

Multiply thru by 2c to get:

6 + 4 = 5c

c = 2 mph (speed of the current)

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2 years ago
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