Answer:
X=(5/4)^-10
Step-by-step explanation:
(5/4)^6÷x=(25/16)^8
(5/4)^6÷x=(5/4)^16
1/X==(5/4)^16÷(5/4)^6
X=(5/4)^6÷(5/4)^16
X=(5/4)^-10
So the value of X is (5/4)^-10
The answer is y=2 !!!!!!!!!!!!!!
Answer:
see below
Step-by-step explanation:
6y = 12x + 26
15y = 45x + 60
First let's simplify these equations.
6y = 12x + 26
Divide each term by 6.
y = 2x + 26/6
Simplify the fraction.
26/6
= 13/3
Your simplified equation is:
y = 2x + 13/3
Let's simplify the other equation.
15y = 45x + 60
Divide each term by 15.
y = 3x + 4
These are your simplified equations.
y = 2x + 13/3
y = 3x + 4
We can see that the slope of the first equation is not equal to the slope of the second equation.
- equation 1: slope is 2 shown from 2x
- equation 2: slope is 3 shown from 3x
The y-intercept of the first equation is not equal to the y-intercept of the second equation.
- equation 1: y-intercept is 13/3 shown by + 13/3
- equation 2: y -intercept is 4 shown by + 4
Now we want to solve the equations.
Both equations are equal to y, so you can set them equal to each other.
2x + 13/3 = 3x + 4
Combine like terms.
1/3 = x
Plug x = 1/3 into both of the equations separately..
y = 2(1/3) + 13/3
y = 2/3 + 13/3
y = 15/3
y = 5
y = 3(1/3) + 4
y = 3/3 + 4
y = 1 + 4
y = 5
Your solution is (1/3, 5)
The system of equations has one solution.
Hope this helps!
Just look at where the 1 is at and then divide it by the place value. The 1 is in the thousandths place so the fraction would look like the following
Answer:
431
Step-by-step explanation:
This is an arithmetic sequence with first term a₁ = -1 and common difference d = 6.
The nth term of an arithmetic sequence is:
a = a₁ + d (n − 1)
The 73rd term is:
a = -1 + 6 (73 − 1)
a = 431
