Answer:
f(-5) = 0
Step-by-step explanation:
Step 1: Define
f(x) = -2x² - 10x
f(-5) is x = -5
Step 2: Substitute and Evaluate
f(-5) = -2(-5)² - 10(-5)
f(-5) = -2(25) + 50
f(-5) = -50 + 50
f(-5) = 0
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
Answer:
B -0.104
Step-by-step explanation:
Step 1: Write the formula for correlation
r = total xy
√Total x² x Total y²
Step 2: Make a table to calculate all values
Table is attached in the picture below
Step 3 : Solve
Mean of X = Total X/ Total number of X
= 507/12
= 106.33
Mean of Y = Total Y/ Total number of Y
= 1276/ 12
= 42.25
r = total xy
√Total x² x Total y²
r = -352.05/ √3656.25 x 3122.66698
r = -0.104
-0.104 is negative
This negative correlation means there is an inverse correlation between variables.
Answer:
Hope this solution helps you
