Answer: $17.85
Step-by-step explanation:
The tax on the T-shirt is 5% and the price is $17.
To find the after-tax cost, first find the tax amount:
= 5% * 17
= $0.85
Then add this tax amount to the price to find the after-tax amount:
= 17 + 0.85
= $17.85
<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>
Answer:
0 < W < 50
Correct option: A
Step-by-step explanation:
<u>Domain of functions</u>
Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.
In this case, the area of a rectangle is given by the quadratic function.

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

Taking common factor W

Since W must be positive W>0

Or equivalently


The total interval is

Correct option: A
Please note: The real restriction should be

if we allowed the area to be positive, but I'm providing the most possible correct available option
(3x2-11x-4)-(x-2)(2x+3)
Final result :
x2 - 10x + 2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3•(x2))-11x)-4)-(x-2)•(2x+3)
Step 2 :
Equation at the end of step 2 :
((3x2 - 11x) - 4) - (x - 2) • (2x + 3)
Step 3 :
Trying to factor by splitting the middle term
3.1 Factoring x2-10x+2
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is -10 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3
2 + 1 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 10x + 2
1 mile is 1.6 kilometers, 1.6*8= 12.8 miles per second
12.8*20=256
hope this helped