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krek1111 [17]
2 years ago
11

Which graph shows the solution to the system of linear inequalities?

Mathematics
2 answers:
tangare [24]2 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<u>Given system:</u>

  • y ≥ 2x + 1
  • y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

seraphim [82]2 years ago
3 0

Graph no 2

Proof attached .

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Help!! 20 points and brainly!!
sergejj [24]

Answer:

26

Step-by-step explanation:

Let x be the first even integer

x+2 is the second even integer

x+4  is the third even integer

The sum of three consecutive even integers is 84

x+ (x+2) + (x+4) =84

Combine like terms

3x +6 = 84

Subtract 6 from each side

3x+6-6 =84-6

3x =78

Divide each side by 3

3x/3 = 78/3

x =26

The three integers are 26, 28,30

The smallest is 26

5 0
3 years ago
Read 2 more answers
A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture wo
atroni [7]
Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x. 
<span>Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. </span>
<span>We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. </span>

<span>x + y = 120 </span>
<span>1.35(x) + (1.05)y = 138 </span>

<span>We can rewrite the first as </span>
<span>x = -y + 120 </span>

<span>Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. </span>

<span>1.35(x) + 1.05(y) = 138 </span>
<span>1.35(-y + 120) + 1.05y = 138 </span>
<span>-1.35y + 162 + 1.05y = 138 </span>
<span>-0.3y + 162 = 138 </span>
<span>-0.3y = -24 </span>
<span>y = 80 </span>

<span>And since x + y = 120, that means x = 40. </span>

<span>Check: </span>
<span>40 pounds of x at $1.35 costs 40 * 1.35, or $54. </span>
<span>80 pounds of y at $1.05 costs 80 * 1.05, or $84. </span>
<span>Do those add up to our target total, according to the question, of 120 * 1.15 = $138? </span>
3 0
3 years ago
I need to know what number goes here? HELP!
Anit [1.1K]

Answer:

9

Step-by-step explanation:

cross multiply 7/63 by 1/x

so, multiply 7 by x and 63 by 1

you get 63=7x

divide by 7 on both sides and you get 9

3 0
3 years ago
Please help me I have 10 minutes!!
Diano4ka-milaya [45]

Answer:

it's d

Step-by-step explanation:

≤ may refer to:

Inequality (mathematics), relation between values; a ≤ b means "a is less than or equal to b"

so the answer D is right because the face always ponit to the bigger number if x is -14 then this stament would be true

7 0
2 years ago
Subtract the fraction write your answer in simplest form 6/8 - 3/10
jok3333 [9.3K]

Answer:

9/10 or 0.45 in decimal form

Step-by-step explanation:

4 0
3 years ago
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