Y = 1/2 x
for x = 0 → y = 1/2 · 0 = 0
for x = 2 → y = 1/2 · 2 = 1
x | 0 | 2 |
y=1/2x| 0 | 1 |
y = x + 3
for x = 0 → y = 0 + 3 = 3
for x = -3 → y = -3 + 3 = 0
x | 0 | 3 |
y=x+3|-3 | 0 |
Answer:
Yes
Step-by-step explanation:
Yes, 3 is a factor of 12.
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
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The difference is ...
![\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%7D-%5Cdfrac%7B1%7D%7B8%7D%3D%5Cdfrac%7B5%7D%7B6%7D%5Ccdot%5Cdfrac%7B8%7D%7B8%7D-%5Cdfrac%7B1%7D%7B8%7D%5Ccdot%5Cdfrac%7B6%7D%7B6%7D%5C%5C%5C%5C%3D%5Cdfrac%7B40-6%7D%7B48%7D%3D%5Cboxed%7B%5Cdfrac%7B34%7D%7B48%7D%7D)
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<em>Additional comment</em>
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
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Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
Answer:
The correct answer is if you want no roots in the denominator, the correct answer is
* ![\sqrt[3]{2y^{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E%7B2%7D%20%7D)
Step-by-step explanation:
The mistake is that you can't take a cube root of a square at step 3 when
is taken out.
Answer:
486 mm
Step-by-step explanation:
solve each side on it's own first
First 2 rectangles: 288 mm all together
2 rectangle: 144 mm
Triangles: 54 mm
Then add rectangles and triangles:
288 mm + 144 mm + 54 mm = 486 mm