Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80
40g+300 is less than or equal to 5000
g is less than or equal to 117.5
So that is 117 guests max can be invited
Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:

use constant integration rule which yields:

notice that we can rewrite √x using Law of exponent therefore we obtain:

once again use law of exponent which yields:

use exponent integration rule which yields;

simplify which yields:

recall fundamental theorem:

simplify:

hence
our answer is A
Answer:
Step-by-step explanation:
one batch= 12 cookies
each batch needs 0.4 cups sugar and 0.01 cups of cinnamon
Lily needs to bake 6 batches, she will need
0.4 cupsx6=2.4 cups of sugar
0.01x6=0.06 cups of cinnamon
Answer:
X intercepts are points where a function intersects or cuts through the x axis where y=0.
Step-by-step explanation:
In the function given which is f(x) =x^2 +4x + 3 we see that this is a parabola of which when the graph is drawn it has a U shape so when finding x intercepts of this function it is those points on the function where the graph cuts the x axis and at those two points f(x)= 0, so here Mathieu had made a mistake of factorizing and equating the x intercepts for this function.
For finding the X intercepts let f(x) = 0
therefore 0= x^2 + 4x + 3 now we solve for x
0= (x+1)(x+3)
(x+1)= 0 or (x+3)=0
therefore x=-1 or x=-3
now if you substitute these values onto the function they give f(x)= 0,
f(-1) = (-1)^2 + 4(-1) + 3 = 0
f(-3) = (-3)^2 + $(-3) + 3 =0
now let us look at Mathieus answer which is x+1 = x+3 yes these x values do give the same y value but they are not equal because if you can actually solve this further you would not get a defined answer. Both these are factors of the function but are not actually equal as the function would not be able to be drawn if this was the case.