460 < 2x + 10 and 2x + 10 < 660
Solve x in each equation:
Rewrite so X is on the left side:
2x +10 >460
Subtract 10 from each side:
2x > 450
Divide both sides by 2:
x > 450 /2
x > 225
2x +10 <660
Subtract 10 from both sides:
2x < 650
Divide both sides by 2:
x < 650 / 2
x < 325
Combine the answer: 225 < x < 325
This means her carb intake needs to be more than 225 and less than 325 grams.
Consider the value of f at x=2.
f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.
The graph of g is the graph of f compressed horizontally by a factor of 1/5.
So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).
All pairs (x, y) in f can be described by (x, 5x+15), thus, all pairs (x, y) in g can be described by (x, (5x+15)/5), that is (x, x+3). Thus, the rule for g is :
g(x)=x+3.
Answer: <span>A) g(x)=x+3</span>
Answer:
45-(-15)
430-(-180)
11,560-(-185)
Step-by-step explanation:
just add the two numbers together for diffrence.
1. Given
2. Addition property
3. Division property
First, incorporate the 5 into the 2/3 fraction by multiplying the 5 by the 3 and then adding that quantity by the 2, which now makes the fraction:
17/3
Now set it up with the equation:
r/6 = 17/3
r/6×3 = 17/3×3
r/3 = 17
r/3×3 = 17×3
r = 51
