Plz help me on this its my last question and im stuck on it

How do you find the solution area to a system of inequalities? 100 points

larisa [96]

How To Solve Systems of Inequalities Graphically

1) Write the inequality in slope-intercept form or in the form

y

=

m

x

+

b

y=mx+b

.

For example, if asked to solve

x

+

y

≤

10

x+y≤10

, we first re-write as

y

≤

−

x

+

10

y≤−x+10

.

2) Temporarily exchange the given inequality symbol (in this case

≤

) for just equal symbol. In doing so, you can treat the inequality like an equation. BUT DO NOT forget to replace the equal symbol with the original inequality symbol at the END of the problem!

So,

y

≤

−

x

+

10

y≤−x+10

becomes

y

=

−

x

+

10

y=−x+10

for the moment.

3) Graph the line found in step 2. This will form the "boundary" of the inequality -- on one side of the line the condition will be true, on the other side it will not. Review how to graph a line here.

4) Revisit the inequality we found before as

y

≤

−

x

+

10

y≤−x+10

. Notice that it is true when y is less than or equal to. In step 3 we plotted the line (the equal-to case), so now we need to account for the less-than case. Since y is less than a particular value on the low-side of the axis, we will shade the region below the line to indicate that the inequality is true for all points below the line:

5) Verify. Plug in a point not on the line, like (0,0). Verify that the inequality holds. In this case, that means

0

≤

−

0

+

10

0≤−0+10

, which is clearly true. We have shaded the correct side of the line.

5 0

3 years ago

Read 2 more answers

What is 1000 k = to but it has to be a gram .any get it cause I don't help me

denpristay [2]

You need to convert 1000kg to grams? There are 1000g $\frac{1000g}{kg}$
Now what you need to do is multiply the number of kg you have by your conversion fractions, making sure that grams is on top so you end up with grams in your answer: $\frac{1000kg}{g}$ * $\frac{1000g}{kg}$

Kg cancel, and you are left with 1,000,000g
This means that there are 1,000,000g in 1000kg
Hope this helps!

5 0

3 years ago

Jimmy rolled a die 90 times and recorded the results. He got a one 15 times, a two 22 times, a three 18 times, a four 11 times,

vovikov84 [41]

Since in Jimmy's 90 times die roll six appeared 11 times, so the probability of face of sixes appearing is: $\frac{11}{90}$ .

Thus , when the die is rolled 1500 times then it is obvious that the number of times the face of six will appear will also increase proportionately.

This proportionate increase in the number of times the face of six will appear will be given thus:

If six appears 11 times in 90 rolls then to find how many times it will appear in 1500 rolls is calculated as $\frac{11}{90}=\frac{x}{1500}$ where x is the number of times the face of six will appear.