Answer:
15/32 cm²
Step-by-step explanation:
Area of rectangle = l × b
=> 3/4 × 5/8
=> 15/32
Therefore,
Area of rectangle is 15/32 cm²
Answer:
The equation is y= 0,65 x
If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately pays (y) is the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.
The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).
Step-by-step explanation:
The price without discount (or without the coupon) is x.
The price with discount (or with coupon) is y.
y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.
Answer:
C
Step-by-step explanation:
Given
Divide each term on the numerator by 4x
= 
+ 
+ 
= 
+ 2 +
Answer:
B
Step-by-step explanation:
Answer:
See proof below
Step-by-step explanation:
Assume that V is a vector space over the field F (take F=R,C if you prefer).
Let 
. Then, we can write x as a linear combination of elements of s1, that is, there exist 
and 
such that 
. Now, 
then for all 
we have that 
. In particular, taking 
with 
we have that 
. Then, x is a linear combination of vectors in S2, therefore 
. We conclude that 
.
If, additionally 
then reversing the roles of S1 and S2 in the previous proof, 
. Then 
, therefore 
.
