Answer:
C
Step-by-step explanation:
okay, this is actually pretty easy because it just works with simple translations.
(x+a)^2 + b
if a is positive, the graph shifts left
if a is negative, the graph shifts right
if b is positive, the graph shifts up
if b is negative, the graph shifts down
so since the quadratic, is starts at the origin and is shift 3 to the left, and 2 up:
the equation is
(x+3)^2 + 2
<span>The correct answer is option D. i.e. 15,659,999. Now, this number is closest to the given number i.e. 15,700,000. Becuase when 659 is rounded to the nearest number of hiher value then its value will be 700. Thus,15,659, 999 rounds to 15,700,000 when rounded to the nearest hundred thousand.</span>
The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
I think you could multiply or divide. Hope this helps:)
Answer:
the residual is 0.2032
Step-by-step explanation:
The regression line has been given as:
Y^ = 0.00753X-0.06759
The paired observation for X is (31, 0.369)
The value of X is the empathy score under subject 15 = 31
The value of the brain activity under subject 15 is 0.369
So we have y^ = 0.00753(31) - 0.06759
= 0.1658
Then the residual = y - y^
= 0.369 - 0.1658
= 0.2032
Therefore the residual is 0.2032
Please check the attachment for the table, it will aid you in understanding the solution
