Answer:
x = 4
Step-by-step explanation:
It is stated that f(x) passes through
(-3, 3), (0, 3), (4, 3)
and g(x) passes through
(-4, -3), (0, 0), (4, 3)
Therefore, both functions pass through (4, 3). That is, the input value x = 4 produces the same output value y = 3 for the two functions.
Answer:
(B) 0.74 + or - 2.797 × 0.22/√25
Step-by-step explanation:
Confidence Interval = mean + or - t × sd/√n
mean = 0.74 hours
sd = 0.22 hours
n = 25
degree of freedom = n - 1 = 25 - 1 = 24
Confidence level = 99%
t-value corresponding to 24 degrees of freedom and 99% confidence level is 2.797
Confidence Interval = 0.74 + or - 2.797 × 0.22/√25
Answer:
x=7 x=-1
Step-by-step explanation:
x^2 - 6x - 7 = 0
Factor
What two numbers multiply to -7 and add to -6
-7*1 =-7
-7+1 = -6
(x-7) (x+1) = 0
Using the zero product property
x-7 =0 x+1 =0
x=7 x=-1
Answer:
y = (1/2)x - 3
Step-by-step explanation:
The slope of line WX is -2. Therefore, the slope of a line perpendicular to line WX is the negative reciprocal of -2, or +1/2.
Substitute -2 for y, -1 for x and 1/2 for m in y = mx + b, for the purpose of finding b:
-2 = (1/2)(-1) + b. Multiply all terms by 2 to eliminate the fraction:
-4 = -1 + b. Then b = -3, and the desired equation is y = (1/2)x - 3.
