Answer:
Part A: y=5x
Part B: B and D
Step-by-step explanation:
The ratio of the number of cases to the total cost is 1:5. So, an equation that can be modeled by this situation in slope-intercept form is y=5x.
The unit rate actually does equal the constant of proportionality, so this is not true.
The unit rate of the number of cases per dollar is 1/5, so this is true.
No, the graph starts on the origin, so this isn’t true.
Points (0,0) and (1,5) are on the graph, so this is true.
25 cases will not cost $120, they will cost $125.
We need more info... but the domain is probably all real numbers
Answer:
<CDG = 118 degrees
Step-by-step explanation:
Alternate interior angles are congruent.
Volume can be expressed as the product of the area and the height. The allowable volume given would be 260 cm^3. The volumes of the hexagonal prism and the triangular prism should sum up to this value or lesser to enable Josie in making the candles she wants.
Volume of the hexagonal prism = 21 x 8 = 168 cm^2
Volume of the triangular prism = 14 x 7 = 98 cm^2
Adding up the calculated volumes,
168 + 98 = 266 cm^3
Therefore, the triangular prism cannot have a base area of 7 cm^2.
Answer: x = 4
<u>Step-by-step explanation:</u>
=
+ 2
RESTRICTIONS: x + 12 ≥ 0 and x ≥ 0 → x ≥ 0 <em>(because square roots cannot be negative)</em>
= ![(\sqrt{x} + 2)^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx%7D%20%2B%202%29%5E%7B2%7D)
x + 12 = x + 4
+ 4
<u> -x -4 </u> <u> -x -4 </u>
8 = 4![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
<u> ÷4 </u> <u>÷4 </u>
2 = ![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
(2)² = ![(\sqrt{x})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx%7D%29%5E%7B2%7D)
+/- 4 = x
Solutions: x = 4, x = -4 <em>however, x = -4 is restricted so not valid</em>