Answer:
512 is a perfect cube because 512 = 8 times 8 times 8
Step-by-step explanation:
A perfect cube is a number that can be rewritten as a product of three identical numbers.
For example: 8 is perfect cube as 8 can be rewritten as:
8 = 2 × 2 × 2
So, from the definition of the perfect cubes, the option that matches it is third option.
512 is a perfect cube as it can be expressed as the product of 8 three times.
512 = 8 × 8 × 8
Therefore, third option is correct.
All the remaining options doesn't fulfill the definition of perfect cubes.
Answer: 29.3
Step-by-step explanation:
Abby's average after taking 31 quizzes is 76.
Total test scores= 31 × 76 = 2356
After Abby's teacher drops her 3 lowest test scores, her average increases to 81. This means that (31-3)= 28 test scores were used.
Total scores = 28 × 81 = 2268
Sum of Abby's three lowest score
= 2356 - 2268
= 88
Average of the three scores will now be 88 divided by 3
= 88/3
= 29.3
The average is 29.3
Answer: -17x-1
Step-by-step explanation: Hope this help :D
Answer:
![y\leq -\frac{1}{3}x+1](https://tex.z-dn.net/?f=y%5Cleq%20-%5Cfrac%7B1%7D%7B3%7Dx%2B1)
Step-by-step explanation:
Given:
From the graph, the x and y intercepts are at the points (3, 0) and (0, 1) respectively.
Now, for a line with two points
, the slope is given as:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here,
. Therefore,
![m=\frac{1-0}{0-3}=-\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1-0%7D%7B0-3%7D%3D-%5Cfrac%7B1%7D%7B3%7D)
Now, y-intercept is ![b=1](https://tex.z-dn.net/?f=b%3D1)
Therefore, the standard form of a line is of the form:
. So, the equation of the line on the graph is:
![y=-\frac{1}{3}x+1](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx%2B1)
Now, from the graph, the region is below the line including all the points on the line. Therefore, the inequality used is less than or equal to. This gives,
![y\leq -\frac{1}{3}x+1](https://tex.z-dn.net/?f=y%5Cleq%20-%5Cfrac%7B1%7D%7B3%7Dx%2B1)
B and F
the x coordinates shift one to the right, so that's B.
the image flips over the x axis so the y coordinates become negative