Using the product rule, we have

so that

The equation of the tangent line to <em>W(x)</em> at <em>x</em> = 7 has all the information we need to determine <em>m'</em> (7).
When <em>x</em> = 7, the tangent line intersects with the graph of <em>W(x)</em>, and
<em>y</em> = 4.5 + 2 (7 - 7) ==> <em>y</em> = 4.5
means that this intersection occurs at the point (7, 4.5), and this in turn means <em>W</em> (7) = 4.5.
The slope of this tangent line is 2, so <em>W'</em> (7) = 2.
Then

Let us say the original price of taco before tip was x dollars.
Percentage of tip given =25 %
Amount of tip given = $2
Now we can say that 25 % of total amount = 2 dollars.
Making an equation,

Now we have to solve for x, so dividing both sides by 0.25,
x= 8
Answer : The original price of tacos before tip was $8.
Answer:
The 400 coupon is 80 cents better
Step-by-step explanation:
First find the sale price with the coupon
744 - 400 = 344
Now find the sale price with the discount
100-55 = 45
We will pay 45% of the original price
744*45%
744*.45
344.80
8) factor 6+17g+10g^2
10g^2+17g+6
(5g+6)(2g+1)
C is the answer.
9) which one is a perfect square?
4x^2-14x+49 doesn't factor
4x^2-28x+49=(2x-7)(2x-7)
x^2-x+1 doesn't factor
x^2-2x+2 doesn't factor
B is the answer.
11) factor y^2-2y-48
(y+6)(y-8)
D is the answer
12) for the last one you can multiply the answers out of factor.
Sorry this took forever. It's hard to use the website cuz I'm used to the app.
Best wishes!