Answer:
Rate of change = -12
Step-by-step explanation:
y − 3 = −12(x + 4)
Expanding, we have;
y - 3 = -12x - 48
y = -12x - 48 + 3
y = -12x - 45
Now, formula for rate of change is;
Rate of change = (y(x + h) - y)/h
y(x + h) is; y = -12(x + h) - 45
This gives;
Rate of change = (-12(x + h) - 45 + 12x + 45)/h
Rate of change = (-12x - 12h - 45 + 12x + 45)/h
Rate of change = -12h/h
Rate of change = -12
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where 
is the sample proportion, n is the sample size , 
is the critical z-value.
Given : Significance level : 
Sample size : n= 85
Critical value : 
Sample proportion: 
Now, the 99% confidence level will be :
Hence, the 99% confidence interval estimate of the true proportion of families who own at least one DVD player is
Answer:
1) 2
2) -2
Step-by-step explanation:
1)
x - 5 = -3
Add 5 to both sides
x = 2
2)
3 - 2x = x + 9
Add 2x to both sides.
3 = 3x + 9
Subtract 9 from both sides
-6 = 3x
Divide both sides by 3
-2 = x
x = -2
Hope this helps you understand! :D
Answer:
(- 10, 5 )
Step-by-step explanation:
Given the 2 equations
5x + 12y - 10 = 0 ( add 10 to both sides )
5x + 12y = 10 → (1)
2x - 3y + 35 = 0 ( subtract 35 from both sides )
2x - 3y = - 35 → (2)
Multiplying (2) by 4 and adding to (1) will eliminate the y- term
8x - 12 y = - 140 (3)
Add (1) and (3) term by term
5x + 8x + 12y - 12y = 10 - 140, that is
13x = - 130 ( divide both sides by 13 )
x = - 10
Substitute x = - 10 into either (1) or (2) and solve for y
Substituting in (1)
5(- 10) + 12y = 10
- 50 + 12y = 10 ( add 50 to both sides )
12y = 60 ( divide both sides by 12 )
y = 5
Solution is (- 10, 5 )
2x + y - 4 = 0
We need to first rearrange this so y is the subject
Can you do that or u need help
