237-12=225=cost of 15 pizzas without delivery charge
225/15=15=cost per pizza
15*22=$330=cost of 22 pizzas
Answer: first option.
Step-by-step explanation:
Find the common difference d of the arithmetic sequence:
Then the formula for the 101st term is the shown below:
Where:
Substitute values into the formula. Therefore, you obtain:
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.
Answer:
64 fish
Step-by-step explanation:
If there is 1/4 fish with black stripes and its a total of 16 then you have to multiple 16 times 4 because theres 4 groups. so 16 times 4 is 64.
<span>We could use 7+7=14 to find the sum of 6+7.
<u><em>Explanation</em></u><span><u><em>: </em></u>
7+7=14 is one of the two closest doubles to 6+7.
We know that:
7 is 1 more than 6; this means:
7+7 will be 1 more than 6+7.
7+7=14, so finding 1 less,
6+7=13.</span></span>
