Answer: y = -2x - 5
Step-by-step explanation:
The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.
from the equation given,
y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line
y = mx + c to get the value of , the y - intersect.
-3 = -2 x -1 + c
-3 = 2 + c
solve for c
c = -3 - 2
c = -5.
now , to have the equation of the line , we put c = -7 into the equation
y = mx + c
y = -2x - 5
Therefore the equation of the line parallel to the line
y = -2x + 8 is
y = -2x - 7
Answer:
-4 degrees Celsius
Step-by-step explanation:
start at 8
subtract 12 from 8
8-12=-4
Answer:
f(x)=x-2
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}
Range: (−∞,∞),{y|y∈R}
g(x)=x^2-3x+2
Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}
Range: [−1/4,∞),{y∣y≥−1/4}
Answer:
81.85%
Step-by-step explanation:
Given :
The average summer temperature in Anchorage is 69°F.
The daily temperature is normally distributed with a standard deviation of 7°F .
To Find:What percentage of the time would the temperature be between 55°F and 76°F?
Solution:
Mean =
Standard deviation =
Formula :
Now At x = 55
At x = 76
Now to find P(55<z<76)
P(2<z<-1)=P(z<2)-P(z>-1)
Using z table :
P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185
Now percentage of the time would the temperature be between 55°F and 76°F =
Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.
I'm going to guess B but I'm not sure