Two times the variable x plus eight is greater than but not equal to negative four.
Well, let's simplify what we can, and then put them into decimal form for comparison.
69/96 can be simplified by being divided by 3.
69/3 = 23, 96/3 = 32.
23/32 is our new, simplified fraction.
Now our statement is: 23/32 (inequality) 7/32.
23 is greater than 7, so our inequality is:
23/32>7/32.
Your inequality is >.
I hope this helps!
Answer:
(-2,8)
Step-by-step explanation:
To solve by substitution, first isolate a variable in one of the equations. Then, substitute the value of the variable from that equation into the other equation, giving either the x or y value of the solution. Finally, substitute that answer back into one of the two equations, finding the other missing value.
1) For both of the equations, the variable y has already been solved for. So, we can choose to substitute whatever y equals in one equation for the y in the other equation. Any choice is fine - I chose to substitute -4x for the y in y = 3x + 14.
2) Now that x has been solved for, substitute the value for the x in one of the equations. Any choice is fine here, too - I chose to substitute -2 in y = -4x:
3) Both the x and y value of the solution has been solved for. x = -2 and y = 8. Therefore, the solution is (-2,8).
The answer in exact form is:
1/256
Answer:
Second Option
The transformation that will cause p(t) to have an intercept with the y = p(t) axis is
Step-by-step explanation:
If we have the function as the parent function then we must find out which of the transformations shown must be performed to the function so that it has an intersection on the y axis.
The main function because if we do t = 0 then p(t) is not defined because the log(0) is not defined.
Then, if we transform the function by doing then we will obtain:
This transformation moves the parent function 1 unit up. Therefore, if the original function had no interception in y, then it will not have an intercept either.
Then, if we transform the function by doing then we will get:
This function moves the parent function one unit to the left on the x axis. Therefore it will have an intercept in p(t) = 0
The transformation only reflects the function p(t) on the x axis. But if the main function has no intercept on the y-axis then the reflected function will also have no intercept on the y-axis
Therefore the correct option is the second one. The transformation that will cause p(t) to have an intercept with the y = p(t) axis is
Observe the attached image