How do I find the product when multiplying with decimals
1 answer:
Step 1:
first let us convert the two decimals into fractions.
0.36=36/100 (since there are two digits after decimal point we divide by 100)
2.4=24/10 (since there are one digit after decimal point we divide by 10)
now we can multiply the fractions
×
multiplying numerator with numerator and denominator with denominator:
=
Now we can convert this back to decimal
864/1000=0.864, moving decimal three digits to the left since we have three zeros in the denominator that is 1000.
Answer=0.864
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g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.