How do you Graph 3x+4y< -16 on the coordinate plane
1 answer:
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Answer:
see attached
Step-by-step explanation:
Take note of the inequality symbol. It is < (not ≤), so the "equal to" case is not included. That means the line 3x+4y=-16 is not part of the solution set. That boundary line is graphed as a dashed line.
Take note of where the variables are in relation to the inequality symbol. Both are on the "less than" side, so the shading of the graph will be where the values of x and y are less than those on the boundary line. The boundary line has a negative slope, so the values less than those on the boundary are to the left and below the line.
Plot the dashed boundary line 3x +4y = -16, or y = -3/4x -4, and shade the area below and to its left.
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1.) 10² + 4 · (6 + 3) - (27 ÷ 9) - 6 = 127
For these types of questions, try to think of it like, well since the last number is negative 6, let me try to get everything before it to equal 133 so it will end up being 127. :)
2.)
÷ 
·(0.3 + 0.42)
= 1/10 ÷ 1/2 + 1.6 · (0.72)
= 1/5 + 1.152
= 1.352
Remember that dividing a fraction by a fraction is like multiplying the coefficient of the second one to the original one.
3.) 15 · 1/2 ÷ 3/4
Remember that product is multiplication and quotient is division.
4.)
Remember that difference is subtraction and separating into three parts is like dividing it into three parts.
Hope this helped and ask me for further explanation! ^-^
For these types of questions, try to think of it like, well since the last number is negative 6, let me try to get everything before it to equal 133 so it will end up being 127. :)
2.)
= 1/10 ÷ 1/2 + 1.6 · (0.72)
= 1/5 + 1.152
= 1.352
Remember that dividing a fraction by a fraction is like multiplying the coefficient of the second one to the original one.
3.) 15 · 1/2 ÷ 3/4
Remember that product is multiplication and quotient is division.
4.)
Remember that difference is subtraction and separating into three parts is like dividing it into three parts.
Hope this helped and ask me for further explanation! ^-^