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24.09.2019 •
Mathematics
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if p=(8,12) is on the graph of f(x). which point is on the graph of g(x)=3f(x-2)+4?
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Ответ:
The point (10,40) is on the graph of g
Step-by-step explanation:
If the point (8,12) is on the graph of f(x) means that
f(8)=12
So, if you choose x=10, then x-2 = 8 and
g(10) = 3f(10-2)+4 = 3f(8)+4
But f(8) = 12, so
3f(8)+4 = 36+4 = 40
Hence g(10) = 40
Which means that the point (10,40) is on the graph of g
Ответ:
5.7 cm or 2 1/4 in
Step-by-step explanation:
Your tape measure is not shown.
On my tape measure, 5.7 cm is the closest mark. On the inch scale, 2 1/4 inches is the next-closest mark.
On a tape measure graduated in 1/32 inch between 2 and 3 inches, you can find the closest mark by rounding to the nearest 32nd:
2.23607 × 32 ≈ 71.55 ≈ 72 --- 32nds of an inch
72/32 = 2 1/4 . . . . the closest mark on an inch ruler graduated in 32nds
__
For a ruler graduated in millimeters, you can find the closest millimeter in the same way. There are 25.4 mm to the inch.
2.23607 in × 25.4 mm/in ≈ 56.80 mm ≈ 57 mm
57 mm = 5.7 cm . . . closest mark on metric scale
__
When we check the error, we find the metric mark is closer than the inch mark.
5.7 cm ≈ 2.24409 in . . . . error of 0.00802 in
2 1/2 in = 2.25000 in . . . error of 0.01393 in