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Crazy boy [7]
3 years ago
7

Which system of linear inequalities is graphed?

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

Answer:

A) {x < −2

{y ≤ −x − 2

Step-by-step explanation:

The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the <em>rate</em><em> </em><em>of </em><em>changes</em><em> </em>[<em>slopes</em>] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:

Dashed Line → >, <

Solid Line → ≥, ≤

x < -2is the vertical line with a <em>less</em><em> </em><em>than</em><em> </em>sign, so it gets the <em>dashed</em><em> </em><em>line</em>,<em> </em>whereas the other line has a <em>less</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal to</em><em> </em>sign, so this line gets the solid line.

I am joyous to assist you anytime.

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One canned juice drink is 15% orange juice another is 10% orange juice how many liters of each should be mixed together in order
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whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5

and whatever the concentrated quantity is in each, they must add up to (5)(0.14)

notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something

thus    \bf \begin{cases}&#10;x+y=5\implies \boxed{y}=5-x\\\\&#10;0.15x+0.10y=(5)(0.14)\\&#10;----------\\&#10;0.15x+0.10\left(\boxed{5-x}  \right)=(5)(0.14)&#10;\end{cases}

solve for "x", to see how much of the 15% juice will be needed

what about "y"?  well, y = 5 - x

7 0
3 years ago
Is 5(3x +4) equivalent to 15x + 20 ?
Archy [21]

Answer:

yes

Step-by-step explanation:

5(3x+4)

5*3=15

5*4=20

15x+20

8 0
3 years ago
Read 2 more answers
In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior
Inessa [10]

Answer:

measure of exterior angle  at  C = 160°

Step-by-step explanation:

An exterior angle of a triangle equals the sum of the two remote interior angles

A and B are the remote interior angles.  So,

m∠A + m∠B = measure of exterior angle  at  C

5x - 10 + 12x = 16x

17x - 10 = 16x

x = 10

measure of exterior angle  at  C = 16x = 16(10) = 160°

7 0
3 years ago
There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!
Katyanochek1 [597]

How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.

Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.

12/15 times 10/3= 8/3 or 2  2/3 

What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. <span>2/3×3/10=2/10=1/5</span> or one-fifth of pizza will be left out.

So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.

5 0
3 years ago
Could someone please help me out on this question?
Genrish500 [490]
2/3* 3 is 2 so the answer is x=2
6 0
3 years ago
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