Answer: D) The graph of y = f(x) will shift down 13 units.
Step-by-step explanation:
Let's define the transformations of translations.
If we start with a function f(x):
For A > 0.
An horizontal translation of A units to the right is written as g(x) = f(x - A)
An horizontal translation of A units to the right is written as g(x) = f(x + A).
A vertical translation of A units up is written as g(x) = f(x) + A
A vertical translation of A units down is written as g(x) = f(x) - A.
In this question we have the transformation:
y = f(x) - 13
This is a translation of 13 units down, then the correct option is:
D) The graph of y = f(x) will shift down 13 units.
Answer: 45 and 3/8
Step-by-step explanation:
8 and 1/4 = 8.25
8.25/d = 2/11
Multiply 2 x d and 8.25 x 11
2d = 90.75
Divide 90.75 by 2 = 45.375
.375 = 3/8
Step-by-step explanation:
Say you have these 2 fractions
Cross multiply as following;
If in the end, both numerator and denominator are equal, then the fractions are equivalent.
Examples:
Example 1
Cross multiply
They're equivalent.
Example 2
Cross multiply
They're not equivalent.
Answer:
Step-by-step explanation:
Work = force × distance
force = mass × acceleartion due to gravity
a four ton satellite will have a force of 4× 1000 ×10 = 40KN (1000Kg = 1 ton)
1 mile = 1609.34 metre
therefore (a) 100 miles above the earth
work = 40000 × 100×1609.34
= 6437360000J
=6.4GJ
(b) 300 miles above the earth
work = 40000×300×1609.34
= 1.93×10¹⁰ J
