Ending position (in order)
+ 4
+ 3
+ 7
+ 3
0
+ 3
- 2
- 1
+ 6
- 7
Hope this helps :)
Step-by-step explanation:
If we let the width be w, then the length is w+3.5.
This means that w(w+3.5)=11
w^2 + 3.5w - 11 = 0
2w^2 + 7w - 22 = 0 (multiply both sides by 2)
(2w+11)(w-2)=0
w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)
This means that w=2, and thus the length is 2+3.5=5.5
Answer:

Step-by-step explanation:

can go into
twice at the most, so doubling
will give us
, which leaves us with
left over to reach 315, which is why
is the numerator. The remainder is ALWAYS the numerator.
I am joyous to assist you anytime.
(A) For x representing the cost of one of Tanya's items, her total purchase cost 5x. The cost of one of Tony's items is then (x-1.75) and the total of Tony's purchase is 6(x-1.75). The problem statement tells us these are equal values. Your equation is ...
... 5x = 6(x -1.75)
(B) Subtract 5x, simplify and add the opposite of the constant.
... 5x -5x = 6x -6·1.75 -5x
... 0 = x -10.50
... 10.50 = x
(C) 5x = 5·10.50 = 52.50
... 6(x -1.75) = 6·8.75 = 52.50 . . . . . the two purchases are the same value
(D) The individual cost of Tanya's iterms was $10.50. The individual cost of Tony's items was $8.75.
Answer:
f(x) = -8(4)x
Step-by-step explanation:
The reflection of the point (x,y) across the x-axis is the point (x,-y).
Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).
y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)
Then f(x) = -8(4x)
Attached you will find the graph of g(x) (blue) and f(x) (red),