Answer:
Step-by-step explanation:
Given:
To find the GCF of 
using prime factorization.
Writing each in prime factors:
3 = 1 
<u>3</u>
24 = 1 2 2 2 <u>3</u>
Now, GCF of 3 and 24 is 3
GCF of 
and 
is 
.
Therefore, the overall GCF of the two terms is
If two lines are perpendicular, then their slopes have a product of -1 or you could say they are opposite signed reciprocals of each other.
The given equation has a slope of -3. We know this because it is in slope-intercept form y = mx + b ...y = (slope)x + (y-intercept).
so taking the slope -3...the opposite signed reciprocal would be +
Now we have a slope and a point... we can use them to find the b (y-intercept)
x = 4, y = 3, and m =
Using the common denominator fraction for 3, we subtract 4/3 from both sides
plug the values for m and b into the slope intercept form
Answer:The Solution
Step-by-step explanation:
Solution for What is 25 percent of 343:
25 percent *343 =
(25:100)*343 =
(25*343):100 =
8575:100 = 85.75
Subtract 7 from 4 and Mark it on the grid, then, in order to reflect it, mark the same line in the (-,+) corner. (new coordinates are (-5,7)(-5,3)
Answer:
we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.
Option A is correct
Step-by-step explanation:
To shift a function right
- Subtract inside the function's argument. For example,
is basically 
shifted b units to the right.
- Subtracting inside the function's argument moves you to the right.
So, g(x) = f(x – 2) means f(x) is shifted two units to the right.
and to move a function up
- Add outside the function. For example,
is basically moved up 
units.
So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units up.
Therefore, overall, after two transformations, we conclude
that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.
So, option A is correct.
