The absolute value of -5 is 5.
Knowing this we know that |5| -|-5| is 5 - 5
5 - 5 = 0
Answer:
7.5
Step-by-step explanation:
It is longer than 5, so cross 2.5 and 5 out, 10 is too big, so 7.5 is the correct answer
Answer:
D) 3
Step-by-step explanation:
22 * 2 = 44
To have a remainder 3, the number should be 44 + 3 = 47
47 ÷ 22 , leaves a remainder 3.
47 +22 = 69
69 ÷ 3 leaves a remainder 3.
69 +22 = 91
91 ÷ 3 leaves a remainder 3.
Answer: 47 , 69 , 91
Answer:
The translation rule is described by 
.
Step-by-step explanation:
According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:
(Eq. 1)
Where:
- Original vector with respect to origin, dimensionless.
- Translated vector with respect to origin, dimensionless.
- Translation vector with respect to original vector, dimensionless.
From (Eq. 1) we get that translation vector is:
If we know that 
and 
, then the translation vector is:
And we find the translation rule by assuming that 
and in (Eq. 1):
The translation rule is described by .
Answer:
h(x) = (1/2)(x - 3)^2 + 2
Step-by-step explanation:
Start with y = x^3.
Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.
Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.
Last, starting with your g(x) = (1/2)(x - 3)^2, add 2
You will end up with h(x) = (1/2)(x - 3)^2 + 2.
