The solution to the given mathematical problem is found by using thedistributive property to break down 36 into its component parts (30 and 6), then dividing each part by 3, yielding the answer of 12.
The question is framing a scenario where we need to use the distributive property to simplify a division operation. The distributive property deals with multiplying a number by a sum or difference, in essence 'distributing' the multiplication over addition or subtraction.
So the division 36 ÷ 3 could be set up using the distributive property like (3×10) + (3×2) by breaking down 36 into a sum like 30 + 6.
So, 36 ÷ 3 = (3 x 10 + 2) ÷ 3 Applying the distributive property, we distribute the division operation over the addition. = (30 ÷ 3 + 6 ÷ 3) = 10 + 2 = 12
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-49/4
-7/2
7/2
49/4
Answer :
Given expression is
To make perfect square trinominal we use completing the square method
In completing the square method we add and subtract the half of square of coefficient of middle term
Here coefficient of middle term is -7
Half of -7 is
Square of is =
So the expression becomes that gives perfect square trinomial
Hence , the value of 'c' is
The value for c will make the expression a perfect square trinomial is 49/4
The equation is given as:
x^2 - 7x + c
Take the coefficient of x
k = -7
Divide it by 2
k/2 = -7/2
Square both sides
(k/2)^2 = (-7/2)^2
The above represents the value of c.
So, we have:
c = (-7/2)^2
Evaluate
c = 49/4
Hence, the value for c will make the expression a perfect square trinomial is 49/4
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No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?
Answer:
translation, pre-image wouldn't change
Step-by-step explanation:
represents in this situation.
f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
The given equation is 201.50 = f +6.50(21).
We need to find the solution to the equation and state what it represents in this situation.
Equations are mathematical statements containing twoalgebraicexpressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Now, the equation 201.50 = f +6.50(21) can be solved as follows:
201.50 = f + 136.5
⇒f = 65
f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
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Answer: 65
Step-by-step explanation:
It represents the setup fee