Answer:
nothing
Step-by-step explanation:
If you are translating entire triangle, then translating doesn't influence the area. It's just going to change where the triangle is located not its size
4w+3w=63
Answer:
7w=63
63÷7=9
so, (w=9)
Answer:
9
Step-by-step explanation:
3*9 = 27 4*9=36
36 + 27 = 63
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2
The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given below.
Differentiate the function, then we have
The value of x will be
Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.
Then the function is minimum at 2.
More about the differentiation link is given below.
Answer:
minium:-2................
Alisha needs tο use a fractiοn οf 3/8 οf each οf the ingredients οn the recipe.
A fractiοn is a way οf representing a part οf a whοle οr a ratiο between twο quantities. It is written in the fοrm οf a numeratοr and a denοminatοr separated by a hοrizοntal line οr slash (/), such as 3/4, where 3 is the numeratοr and 4 is the denοminatοr. The numeratοr represents the part being cοnsidered, and the denοminatοr represents the whοle οr the tοtal number οf equal parts.
The fractiοn οf each οne οf the οther ingredients that she needs tο use is equal tο the fractiοn between the number οf eggs that she has and the number οf eggs that the recipe calls, it is:
N = 3/8
Therefοre, Sο she needs tο use 3/8 οf each οf the ingredients that the recipe calls.
Learn more about fractions from given link:
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Answer: The range is 101 degrees.
"For every movie there is a pair of students in our class who have both seen it." Hint: Use three quantifiers - one for the movie and two for a pair of students.
b. Negate the quantified proposition you wrote for part (a) (i.e., place a "¬" in front of it). Use de Morganâs law for quantifiers to move the negation inside the quantifiers.
c. Translate you answer for part (b) back to plain English.
Answer:
Step-by-step explanation:
a) Recall the quantifiers .
Then, we can translate the proposition as follows
b) Recall that an expression of the form its negation is of the form which means that it is not true that for all elements the proposition P holds. Equivalently, we have that the negation of an expression of the form is which means that there is at least one x such that P doesn't hold. Using this, we get the following
By De Morgan's law, we have that
So, the final statement is
c)
This statement means: There is a movie that for every pair of students, at least one of the students hasn't seen the movie yet.
The quantified proposition expresses that for every movie, there is a pair of students who have both seen it. The negated proposition states that there exists a movie that no pair of students have both seen.
a. The English sentence can be expressed as the quantified proposition: ∀m ∈ M, ∃ (s1, s2) ∈ D^2, S(s1,m) ∧ S(s2,m)
b. The negation of the quantified proposition is: ∃m ∈ M, ∀(s1, s2) ∈ D^2, ¬(S(s1,m) ∧ S(s2,m))
c. The translation of the negated proposition is: There exists a movie that no pair of students in our class have both seen.
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