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OlgaM077 [116]
3 years ago
9

Which list of numbers are valid for both inequalities?

Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0

Answer:

-1, 0, 1

Step-by-step explanation:

the blue and red lines overlap to give a solid dot above -1 through to 2, which has an open dot above

therefore, -1 ,0, 1 are the only integers that would be in the solution set

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Find the gradient and the intercept shown by the straight line 2x + 3y = 6 ​
sveta [45]

Answer:

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

Step-by-step explanation:

<h2>Equation of the line in slope intercept form:</h2>

      \sf \boxed{\bf y = mx +b}

Here m is the slope or gradient and b is the y-intercept.

Write the given equation in slope-intercept form.

  2x + 3y = 6

          3y = -2x + 6

            \sf y =\dfrac{-2}{3}x +\dfrac{6}{3}\\\\     y = \dfrac{-2}{3}x + 2

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

6 0
2 years ago
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Solve<br> h-w<br> Solve m = for the<br> 8<br> variable h.<br> I
Ilya [14]

Answer:

1) m = h - w/8

Subtract h from both sides.

m - h = -w/8

Subtract m from both sides.

-h = -m - w/8

Divide all terms by -1.

h = m + w/8.

2) m = h - w/8

Get rid of the denominator 8 by multiplying 8/1 to all terms.

8m = 8h - w

Add w on both sides and subtract 8m from both sides.

w = 8h - 8m

3) w = x + y/z

Get rid of the denominator z by multiplying it to all terms.

wz = xz + y

Subtract xz from both sides of the equation.

wz - xz = y OR y = wz - xz

4) w = x + y/z

Subtract x from both sides.

w - x = y/z

Get rid of the denominator by multiplying it to all terms.

wz - xz = y

Now factor the expression wz - xz.

z(w - x) = y

Divide both sides by w - x.

z = y / w - x

This is read as z equals to y divided by w minus x.

5) The area of a triangle is A = 1/2bh

First, get rid of the denominator by multiplying both sides by 2.

2A = bh

To find b, divide both sides by h.

2A/h = b

6) P = kt/v

Multiply both sides by v.

Pv = kt

Divide both sides by t.

Pv/t = k OR k = Pv/t.

Step-by-step explanation:

8 0
3 years ago
Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality rep
AlexFokin [52]

Answer:

x < 2.5

Step-by-step explanation:

Allen has already run 3 hours and will run x amount more to finish. This is 3+x. He must finish under or less than 5.5 hours. So 3 + x < 5.5. You solve and find x < 2.5.

7 0
3 years ago
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4 and 2/5 - 2 and 4/5
Mademuasel [1]

Answer:1.6

Step-by-step explanation:Hope this helps

5 0
3 years ago
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I really need help ............!!!!!!
IrinaK [193]

Answer:

49 minutes

Step-by-step explanation:

To find the average time the machine was down per day, we need to add up the total time taken and then divide by the number of days. Since there are 5 days, we have:

\frac{50 + 30 + 100 + 25 + 40}{5}

= \frac{245}{5}

= 49

So, the average time per day is 49 minutes.

Hope this helped! :)

3 0
3 years ago
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