AB = 3 because 3x+9 = 6x so 3x = 9 so x=3
Hope this helps!
Answer:
See below
Step-by-step explanation:
For the model function
,
is the vertex, and
is the horizontal growth or shrink factor.
We know that our vertex is
from our graph, so we'll need to determine the value of
by using one of the points on the graph:

Thus, our equation for the given graph is
.
The domain of a function is the set of all existing real x-values, thus, our domain for the given function is
, or all real x-values.
The range of a function is the set of all existing real y-values, thus, our range for the given function is
, or all real y-values starting with y=-1 which is included.
Part 1:
A. Like terms must have the same variable and exponent.
B. Give an example of two terms that cannot be combined: 7c and 4b
C. Write one complete sentence to explain why the two terms you wrote cannot be combined: 7c and 4b cannot be combined because they have different variables, and are therefore not like terms.
D. Use distributive property: 2(-4 + 6.1) + 3(5 - x)
2 * -4 = -8
2 * 6.1 = 12.2
-8 + 12.2 + 3(5 - x)
3 * 5 = 15
3 * x = 3x
-8 + 12.2 + 15 -3x
-8 + 12.2 = 4.2
4.2 + 15 = 19.2
19.2 - 3x is the simplest version.
Part 2:
A. Thor is wrong because, in step 4, he subtracted to isolate the variable when he should have divided.
B. 4x + 9 = 6
Step 1: 4x + 9 - 9 = 6 - 9
Step 2: 4x = -3
Step 3: 4x/4 = -3/4
Step 4: x = -0.75
Shopping...
there is a sale on a shirt for 1/3 off, but the shirt costs 5 dollars. You would then need to convert the fraction to a decimal to find the percentage you would get off of the original price.
You know when you divide and get a remainder. for example 4/3 is 1 1/4