Answer:
Step-by-step explanation:
Given
Translation = 3 units down
Vertical stretch of 2 to give g(x)
Required
3 units down translation
A function is translated down as follows:
Where k is the number of units.
So:
Vertical stretch of 2
A function is vertically stretched as follows;
Where a is the units stretched.
In this case:
So:
Answer:
The length of DF must be between 21 and 53.
Step-by-step explanation:
In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.
EF + DF > DE
16 + DF > 37
DF > 21
Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.
DE + EF > DF
37 + 16 > DF
53 > DF
With these two in mind, we know that DF must be between 21 and 53
Answer:
C) 58
Step-by-step explanation:
180-138=42
42+80=122
180-122=58
A= 58
Answer:
81%
Step-by-step explanation:
Let 'L' be the dominant and 'l' e the recessive allele for ‘lazybuttness’.
Since ‘lazybuttness’ is an autosomal dominant condition, the 19% of students affected by the condition correspond to the homozygous dominant (LL) and heterozygous (Ll) genotypes. Therefore, the rest of the population has the homozygous recessive genotype (ll) and is not affected. The frequency of students not affected is:
F = 100% - 19% = 81%
Answer:
y-axis
Step-by-step explanation:
We have the equation:
This is the equation of an ellipse with vertex at origin.
We can rewrite this equation as:
Comparing this to
We a=5 and b=4
Since a>b, the major axis runs along the y-axis
