Answer:
See below.
Step-by-step explanation:
The error is she reversed the direction of the inequality. The only time you do that is when multiplying an inequality by a <u>negative</u> number.
She should have done:
Answer:
see attached
Step-by-step explanation:
The boundary lines are drawn by considering the relation as an equation.
The first "equation" describes a line with slope -8/3 through the y-intercept point (0, 6). Another point on that line would be 8 units down and 3 units right of (0, 6), at (3, -2). Both inequalities include the "or equal to" case, so both boundary lines are solid lines.
Since we have y ≥ ( ), the shading is above the line.
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The second "equation" describes a line with a slope of 5/3 through the y-intercept point (0, -7). Another point would be 5 units up and 3 units right of (0, -7), at (3, -2). Since we have y ≤ ( ), the shading is below the line.
That is, the solution region is in the right-hand quadrant of the X where the lines cross. It includes the lines themselves.
Answer:
Step-by-step explanation:
The four walls have a linear length of (9 m)×4 = 36 m. Of that, the two 1-meter doors are not painted, so the linear length of the painted area is 34 m. The painted area is 2 m high, so the total area being painted is ...
A = LW
A = (34 m)(2 m) = 68 m²
The amount of paint needed for this area is ...
(68 m²) × (1 L/(10 m²) = 6.8 L
If we assume the paint only comes in units of 1 L, then Heather will need 7 L of paint.
The cost of 7 L of paint is ...
(7 L) × ($3.75/L) = $26.25
Heather will need 7 L of paint, for a total cost of $26.25.
Lucas 1.78 m
Olivia = Lucas / 2 = 1.78 / 2 = 0.89 m
Ava = Olivia + 0.23 = 0.89+0.23 = 1.12m