F(x) > g(x)
2^x + 3 > 50x + 5
for x = 3 , f(3) > g(3)
11 > 155 (false)
for x = 10 , f(10) > g(10)
1027 > 505 (true)
for x = 9 , f(9) > g(9)
515 > 455 (true)
for x = 8 , f(8) > g(8)
259 > 405 (false)
the smallest,positive integer value of x is 9 since the value of 9 is the last number to exceeds g(x)
Rosa runs 3 miles in 42 minutes.
I divided 42 by 56 to get the percentage that will be multiplied to 4 miles to get the number of miles Rosa runs in 42 minutes.
42 / 56 = 0.75 * 100% = 75%
75% * 4 miles = 3 miles.
3 miles within 42 minutes
X²+3x-21=0
1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2
2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21
Answer: the product of the 2 solutions of this equation is -21
The dimensions are Width of the rectangle = 7.2 cm
Length of the rectangle = 4x + 9.7
= 28.8 + 9.7
= 38.5 cm. thats all
