For this case what we have to take into account is the following variable:
x = represent the unknown number
We now write the following inequality:
"four times the sum of number and 15 is at least 20"
4 (x + 15)> = 20
We clear the value of x:
(x + 15)> = 20/4
(x + 15)> = 5
x> = 5 - 15
x> = - 10
The solution set is:
[-10, inf)
Answer:
all possible values for X are:
[-10, inf)
Start with the second expression. That factors easily into (8x-3)(8x+3).
Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3). Divide <span>64x^2 + 48x + 9 by that to verify.
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Answer:
d.)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.
original function x.
1. (x-7): horizontal shift of 7 units to the right.
2. 1/3(x-7): Horizontal stretching by factor 1/3.
3.-1/3(x-7): Reflection with respect the x-axis
4.-1/3(x-7)+2: Vertical shift of two units up.
Answer: need picture wont really do good for me
Step-by-step explanation:
