Answer:
C.100
Step-by-step explanation:
arithmetric progression formula
a+(n-1)(d)
345-352=338-345
-7=-7
d=-7
a=352 d=-7
37th term=352 + (37-1)(-7)
=352 + (36)(-7)
=352 + (-252)
=100
Answer:
The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Step-by-step explanation:
We need to describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
We have g(x) = cos x
After transformation we get
f(x)= 9 cos x
According to transformation rule:
if f(x) is transformed into a.f(x) then the transformation is vertical stretch or compression.
- if a > 1 then transformation is vertical stretch
- if 0 < a < 1 then transformation is vertical compression
In our case
g(x)= cos x
f(x) = 9 cos x
a=9 and a>1 so, the transformation is vertical stretch.
So, The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Answer:
5
Step-by-step explanation:
If x=5...
2/3(5)=10/3
That would be true.
-- A rectangle has 4 sides.
-- Each side has the same length as the side directly across from it.
-- So there are two sides that are both the width of the rectangle,
and another two sides that are both the length of the rectangle.
-- In this particular rectangle, when you add up all four sides,
the sum is 32 feet.
-- The width of the rectangle is 9 feet. So there are two sides that are
both 9 feet. When you add those up, you have 18 feet.
-- The REST of the 32 feet belongs to the other two sides.
That much is (32 - 18) = 14 feet. That's what the other two
sides add up to when you add them.
-- The other two sides are equal. So each of them is half of 14 = 7 feet .
This rectangle, or the description of it, is slightly weird.
The length of the rectangle is shorter than the width.
But that's OK. Two sides are 9 feet, and two sides are 7 feet, and
when you add them all up, you get 32 feet, so our solution is correct.
Let them call the sides anything they want to.
Answer:
£0.85 for each
£1.70 for both
Step-by-step explanation:
Variable x = cost of baked beans
2.30 + 2(2.60) + 2x = 10 - 0.80
Use PEMDAS
2.30 + 5.20 + 2x = 10 - 0.80
7.50 + 2x = 9.20
Subtract both sides by 7.50
2x = 1.70
Divide both sides by 2 to isolate the variable
x = 0.85
Let's check our work by plugging this into our original equation
2.30 + 2(2.60) + 2(0.85) = 10 - 0.80
2.30 + 5.20 + 1.70 = 10 - 0.80
7.50 + 1.70 = 9.20
9.20 = 9.20
Our number is correct