She can put the rocks into,
2 groups of 19
Or one group of 38.
Answer:
No
Step-by-step explanation:
An extraneous solution is a root of a transformed equation which is not a root of the original equation because it was not included in the domain of the original equation.
Ahmed is solving ![2\sqrt[3]{x-7}+11=3](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7Bx-7%7D%2B11%3D3)
for x.
His steps were:
![\begin{aligned}2\sqrt[3]{x-7}&=-8\\ \sqrt[3]{x-7}&=-4\\ \left(\sqrt[3]{x-7}\right)^3&=(-4)^3\\ x-7&=-64 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D2%5Csqrt%5B3%5D%7Bx-7%7D%26%3D-8%5C%5C%20%20%5Csqrt%5B3%5D%7Bx-7%7D%26%3D-4%5C%5C%20%20%5Cleft%28%5Csqrt%5B3%5D%7Bx-7%7D%5Cright%29%5E3%26%3D%28-4%29%5E3%5C%5C%20%20x-7%26%3D-64%20%5Cend%7Baligned%7D)
Since cube roots <u>do not give two solutions when solved</u>, it is <u>not necessary </u>to check his answers for extraneous solutions.
The answer is B.$7.47.
Let's first calculate how much in total 75 shirts cost:
- first 19 (less than 20) cost $10: 19 * $10 = $190
- the next 30 cost $8: 30 * $8 = $240
- the rest (26 = 75 - 19 - 30) cost $5: 26 * $5 = $130
So, in total 75 shirts cost $560:
19 * $10 + 30 * $8 + 21 * $5 = $190 + $240 + $130 = $560
Since 75 shirts are ordered, there must be 75 employees, so each employee must pay $7.47:
$565 ÷ 75 = $7.47
Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
✦ ✦ ✦ Beep Boop - Blu Bot! At Your Service! Scanning Question . . .
Code: Green! Letters, Numbers, and Variables Received! ✦ ✦ ✦
--------------------------------------------------------------------------------------------------------------Question: x3+y3+z3=k, with k being all the numbers from one to 100
--------------------------------------------------------------------------------------------------------------Answer: X = -80538738812075974, Y = 80435758145817515, and Z = 12602123297335631.
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