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navik [9.2K]
2 years ago
8

Which graph below shows the solutions for the linear inequality y<1/4x-3

Mathematics
2 answers:
Luda [366]2 years ago
4 0

The answer is GRAPH C.

Oxana [17]2 years ago
4 0

y< 1/4x - 3

Lets y = 1/4 x - 3 and find 2 coordinate points

y intercept : x = 0, y = -3. so It's (0, -3)

when x = 4, y = 1/4 (4) - 3 = 1 - 3 = - 2 , so it's (4, - 2)

Now you have two coordinate points (0, -3) and (4, - 2)

The inequality symbol is less than (<), the line is dotted  and also shade the side "under" the line.

Answer is C. Graph C

Bottom left

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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
motikmotik
Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
        -42          -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
4 0
2 years ago
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Original: $110<br> New: $59<br> %Decrease:__________
Lemur [1.5K]

Answer:

46.36%

Step-by-step explanation:

Original: 110

New: 59

Percent Decrease: x

110 - 59 = 51

51/110 ≈ 46.3636... ≈ 46.36%

-Chetan K

3 0
2 years ago
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marysya [2.9K]

Answer:0=12

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

3x-7=3x-5

Combine like terms:

3x-3x=7+5

0=12

4 0
3 years ago
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The numerical value of the variance a. is negative if the mean is negative. b. is always larger than the numerical value of the
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Variance is the sum of squares of all items x from mean.  i.e

Variance = \Sigma (x-xbar)^2

Being the sum of squares variance can never be negative irrespective of mean being negative.

Std deviation is the square root of variances.  This will thus be less than variance if variance >1 other wise std deviation will be bigger than variance.

Hence option d is right.

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2 years ago
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Answer:A

Step-by-step explanation:

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