g(x) = 3x
g(x) = 3( x )
g( f(x) ) = 3( f(x) ) ... replace every x with f(x)
g( f(x) ) = 3( 2x-1 ) .... plug in f(x) = 2x-1
g( f(x) ) = 3( 2x) + 3( -1 ) ... distribute
g( f(x) ) = 6x - 3
You are correct in saying D is the answer
Answer:
Match the Statement number with the Reason number.
Step-by-step explanation:
Statements:
1.GE is perpendicular to BD
CF is perpendicular to BD
2. Angle GED equal 90
Angle DFC equal 90
3. Angle GED is congruent to Angle DFC
4. Angle GBE is congruent to Angle FDC
5. Triangle BEG is similar to DFC
Reasons:
1.Given
2. Definition of perpendicular lines
3. Transitive property
4. Alternate Interior Angles
5. AA Similarity
Answer:
The shaded area is 35
Step-by-step explanation:
Big rectangle area: 7 * 10 = 70
Small rectangle area: 5 * 7 = 35
Difference: 35
Answer: x² - 5x - 14
Step-by-step explanation: Start with the formula for the area of a rectangle.
Area = length x width
To multiply these two binomials, let's use the F.O.I.L. method.
The product of the first terms is x².
The product of the outer terms is -7x.
The product of the inner terms is 2x.
The product of the last terms is -14.
So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.
We first determine the cost of one pair, that is:
So, each pair of shoes cost $63.Now, we determine the value of the commission:
So, the commission for each pair of shoes is $10.71, now we multiply this by 3 times. That is:
So, the commission for the three pairs of shoes will give him $32.13.
