Answer:
iii. priceof a house in Saratoga, N.Y.
Step-by-step explanation:
In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.
Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.
In this question:
Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.
Answer:
see explanation
Step-by-step explanation:
Using 
= i, then i² = ( )² = - 1
and i³ = i² × i = - 1 × i = - i
also
= i² × i² = - 1 × - 1 = 1
We can surmise that i raised to any multiple of 4 will equal 1
Given
( note 35 = 32 + 3 and 32 is a multiple of 4 ), thus
= 
= 1 × i³ = - i
Answer:
Step-by-step explanation:
Challenge # 1
Line has a negative slope with positive slope.
Therefore, equation will be,
y = 1.5x - 6
Parallel line to the given line will have same slope = 1.5 but with different y-intercept.
Equation of the parallel line → y = 1.5x + 6
Challenge # 2
Line has a negative y-intercept = -1 (Approx.)
Slope of the line = negative
Therefore, equation of the line will be,
y = -3.7x -1
Line parallel to the given line will have same slope but different y-intercept.
Equation of the parallel line → y = -3.7x + 1
Challenge # 3
Line with negative slope and no y-intercept.
y = -0.8x
Parallel line to the given line will have same slope and different y-intercept.
Equation of the parallel line → y = -0.8x + 1
Challenge # 4
Line in the graph has positive slope and negative y-intercept.
y = -5 + 4.2x
Line parallel to the given line will have same slope but different y-intercept.
Equation of the parallel line → y = - 7 + 4.2x
Answer:
(p−3)⋅(3p+2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(3p2 - 7p) - 6
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 3p2-7p-6
The first term is, 3p2 its coefficient is 3 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .
-18 + 1 = -17
-9 +2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2
3p2 - 9p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
3p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(3p+2) • (p-3)
Which is the desired factorization
Final result :
(p - 3) • (3p + 2)
Answer:
The building is 16 m tall.
Step-by-step explanation:
x/2 = 80/10
10x=160
10x/10 = 160/10
x=16
