Answer: We have c = 3 and d = -2
Step-by-step explanation:
We want to solve the equation:
6200.07 = 6.2x10^c + 7x10^d
First, we can separate the left number into two pieces:
6200.07 = 6200 + 0.07 = 6.2x10^c + 7x10^d
Now we can solve it as:
6200 = 6.2x10^c
6200/6.2 = 10^c
1000 = 10^c
now we can use that if y = a^x, then ln(y)/ln(a) = x
here we have:
c = ln(1000)/ln(10) = 3
and
0.07 = 7x10^d
0.07/7 = 10^d
0.01 = 10^d
d = ln(0.01)/ln(10) = -2
Step-by-step explanation:
Substituting y in the first equation
At x = 1.17
At x = -1.17
The intersection points are (1.17, 5.85k) and (-1.17, -5.85k)
The graph would intersect regardless of what value k is.
Answer:
True, all integers are rational numbers.
Step-by-step explanation:
Because each integer can be written as n/1 and integers can be positive and negative. For example, 3= 3/1 , 3 is the rational number. But all rational numbers like 1/2 =0.5 are not an integer. (fractions, decimals are not integers.)
Answer:
5
(5t-7)(25+35t+49)
Step-by-step explanation:
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
