Step-by-step explanation:
x + 3 = 0
x = - 3
f(x) = 2x³ - 4x² - 28x + 6
f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6
= 2 x (- 27) - (4 x 9) + 84 + 6
= - 54 - 36 + 90
= - 90 + 90
= 0
Therefore,
x + 3 is factor of 2x³ - 4x² - 28x + 6
Problem 10
You are correct. The answer is choice C. The cm^3 notation represents cubic centimeters, which is a unit for volume. Think of a 1 cm by 1 cm by 1 cm cube.
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Problem 11
This problem is a bit strange. She borrows money ($100) but then it says she earns $300 per day. It makes no mention of her paying that $100 back, or when it's due back. I'll just assume that she keeps the $100 for the 12 days.
If that assumption is correct, then she'll have y = 300x+100 dollars after x days.
Plug in x = 0 and you'll get y = 100. Plug in x = 12 and you'll end up with y = 3700. Therefore, the two points on this graph are (0,100) and (12,3700).
The only window that has y = 3700 in it is the interval
while the other windows are too small. So only choice D is the answer here. In other words, you'll have "yes" on choice D, and "no" on everything else.
Answer:
where is x ??
Step-by-step explanation:
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The slope = 4
y-intercept = -3
The equation of a line in slope intercept form is written as y=mx+b
where m is the slope and b is the y-intercept.
replace m and b with the given information:
The equation is: y = 4x-3
The mean (rounded to the nearest tenth if needed) of the following data set is: 30, 29, 40, 51, 39, 33, 24, 60, 40, 35, 58
bekas [8.4K]
Mean is just the average so to calculate the average just add up all the data and divide it by the number of data.
so it's gonna be
(30+29+40+51+39+33+24+60+40+35+58) / 11
= 39.9 (corrected to the nearest tenth)