Given:
The table of values of a linear relationship.
x y
-1 -1
0 1
1 3
2 5
To find:
The equation for the given table of values.
Solution:
If a linear function passes through the two points, then the equation of the linear relationship is

Consider any two point from the given table. Let the two points are (-1,-1) and (0,1). So, the equation of the linear relationship is




Using distributive property, we get


Subtracting 1 from both sides, we get


Therefore, the required equation is
. Hence, the correct option is D.
Answer:
Should be a 33.33% increase
Step-by-step explanation:
320 divided by 240 to get 1.33, anything above 1 is increase, so its a 33% increase.
Answer:
c) -x^3 + x^2 - 1
Step-by-step explanation:
Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2
(u/v)(x) = u(x)/v(x)
Now plug in the given functions in the above formula, we get
= (x^5 - x^4 + x^2) / -x^2
We can factorize the numerator.
In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.
= x^2 (x^3 - x^2 + 1) / - x^2
Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.
(u/v)(x) = (x^3 - x^2 + 1) / -1
When we dividing the numerator by -1, we get
(u/v)(x) = -x^3 + x^2 - 1
Answer: c) -x^3 + x^2 - 1
Hope you will understand the concept.
Thank you.
90 degree rotation clockwise : (a,b) --> (b,-a)
so... (24,-15) --> (-15,-24) is a 90 degree clockwise rotation
To do this we will divide d amount of money Mr. Cole gave her to d amount of money she gets per book. den d answer will be d amount of books Carmen read. lets do it:-
44 ÷ 4 = 11
Carmen read 11 books.
CHECK OUR WORK:-
11 × 4 = 44
We were RIGHT!!!!!
So, Carmen read 11 books!!
Hope I helped ya!!!! xD