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)
Answer:
(-00, 00)
Step-by-step explanation:
(-infinity, infinity)
Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4
We know that
as
so the remainder is 3. ∵ 
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
Let's find the difference between each number.
38-14=24
74-38=36
122-74=48
182-122=60
254-182=72
As you can tell, you're adding 12 to each difference before. The next difference would be 72+12=84. Let's add.
254+84=338
Now the next difference would be 84+12=96.
338+96=434
So, the next two terms are 338 and 434.
Answer:
x=10
Step-by-step explanation:
We can use the Pythagorean theorem to find x
The height meets the base at a right angle
The base is bisected ( cut in half) so the base is 6 the height is 8
a^2 + b^2 = c^2
6^2 + 8^2 = x^2
36+64 = x^2
100 = x^2
Taking the square root of each side
sqrt(100) = sqrt(x^2)
10 = x
