Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Answer:
Area = 36 sq. units
Step-by-step explanation:
The 3 values you need to solve for the area are the top base length, bottom base length, and height.
Top base length = 7 . It's the distance between point A and B.
Bottom base length = 11. It's the distance between points C and D.
Height = 4. It's the perpendicular distance from the top to the bottom base.
The formula to solve the area of a trapezoid (or trapezium, I'm American) is:
A = 
Put in the numbers above for the unknowns and you will get this:
A = 
Simplify:
A= 
A = 2(18)
A = 36
So the answer is 36. Hope I helped!
Answer:
20
Step-by-step explanation:
Use <u>PEMDAS</u>
P = parenthesis
E = Exponents
M = Multiplication*
D = Division*
A = Addition**
S = Subtraction**
*either can come first, it just depends which comes first in the equation.
**either can come first, it just depends which comes first in the equation.
<em>Step 1 : Write equation</em> 4( 9 × 2 ) ÷ ( 4 -1 ) - 4
<em>Step 2: Solve in parenthesis </em>4(18) ÷ (3) - 4
<em>Step 3: Solve multiplication </em> 72 ÷ 3 - 4
<em>Step 4: Solve division </em>24 - 4
<em>Step 5 : Solve subtraction</em> 20
Slope intercept form is y=mx+b where m is the slope and b is the y part of an intercept where x is 0. So the equation for slope (y1-y2)/(x1-x2) with y1 and y2 the y values of 2 points and x1 and x2 those points' x values, so if you would use the points (-2,0) and (0,5) (I used intercepts because they are easier, but you can use any points on the line) you would get (0-5)/(-2-0) and then 5/2 for the slope. plugging in then you get y=5/2*x+5
Add the 3 item totals, then divide that number by 100, then, take that number and multiply by 9 (this gets the tax total). then you are going to want to add the total of the 3 items, and the tax amount, and you have your answer. do this with all the peoples items :)
