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ryzh [129]
3 years ago
12

The graph of g(x) contains the point (7,12). What point must be on the graph of the function f(x) if g(x) = 2f(x-3)+4?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0
First take out 2 as a factor
g(x) = 2[f(x-3)+2]


f(x-3) means a shift of +3 in the x direction
+2    means a shift of +2 in the y direction
2[f]   means a stretch of scale factor 2 in the y direction

so (7+3, 2(12+2)) -> (10,28) 
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No,it's not linear because it doesn't have Y=2x+1.

Step-by-step explanation:

8 0
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8 0
3 years ago
Suppose a principal amount of $7500 was invested at an interest rate of 6%. How long did it take to reach $10650?
Oliga [24]

Based on the information how long did it take to reach $10650 is 7years.

Given:

Principal=$7,500

Rate=6%

Amount=$10650

Time=?

Simple Interest(SI)=A-P

=$10650-$7500

=$3150

Time=(100×SI)/(p×r)

T=(100×3150)/(7500×6)

T=315,000/45,000

T=7 years

Inconclusion how long did it take to reach $10650 is 7years.

Learn more here:

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6 0
2 years ago
Membership for a robotics club is $15 per month plus a one-time registration fee of $35. Write an equation in slope-intercept fo
Gemiola [76]
Y = 15x + 35

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6 0
3 years ago
1. You are at the grocery store and you purchase 2 packs of steaks for $9.99 each.  Sales tax is 6%.  How much will you pay in s
Artemon [7]
1 steak costs $9.99
2 steaks cost 2*9.99 = $19.98
This is before tax is applied

Apply the 6% tax to get 
6% of 19.98 = (6/100)*19.98 = 0.06*19.98 = 1.1988
which rounds to 1.20 (rounded to the nearest penny)

The sales tax is therefore $1.20

Add this to the previous total (19.98) and we get a grand total of 19.98+1.20 = 21.18 which is the final cost (with tax included)

note: we can multiply 19.98 by the value 1.06 to get 19.98*1.06 = 21.1788 and that rounds to 21.18; so it's a different route to the second answer
7 0
3 years ago
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