Answer:
7 point four hunnid(hundred) and eighty-two
Answer:
x = -3 x=8
Step-by-step explanation:
(x+3)(x-8)=0
Using the zero product property
x+3 =0 x -8 = 0
x = -3 x=8
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 is 2.2 66 88862 u88272
Answer:
The normal price of the drink is $1.2
Step-by-step explanation:
We are given the following in the question:
Number of drinks bought = 22
Discount on each drink = $0.35
Total money paid = $18.70
Let x be the normal price of the drink.
Thus, we can write the equation:
![\text{(Discounted price)(Total number of drinks)= Money paid}\\(x-0.35)(22) = 18.70\\22x - 7.7 = 18.70\\22x = 26.4\\x = 1.2](https://tex.z-dn.net/?f=%5Ctext%7B%28Discounted%20price%29%28Total%20number%20of%20drinks%29%3D%20Money%20paid%7D%5C%5C%28x-0.35%29%2822%29%20%3D%2018.70%5C%5C22x%20-%207.7%20%3D%2018.70%5C%5C22x%20%3D%2026.4%5C%5Cx%20%3D%201.2)
Thus, the normal price of the drink is $1.2