The equation is in y=mx+b form where m represents slope and b represents the y intercept. So begin by graphing the point (0,-5) on the Y axis
Next you look at the slope, slope is rise over run so in this case you would rise or go up 1 from the point (0,-5) and then go left or "run" 2 units
Answer:
g^−1(7) = 6
h^−1(x) = x/2 + 3/2
(h^−1 ∘ h)(3) = 3
Step-by-step explanation:
If
g(6) = 7
Then
g^−1(7) = 6
h(x) = 2x - 3
Isolate x:
2x = h(x) + 3
x = h(x)/2 + 3/2
Replace x with h^−1(x) and h(x) with x:
h^−1(x) = x/2 + 3/2
We know that:
(h^−1 ∘ h)(x) = x
then:
(h^−1 ∘ h)(3) = 3
Answer:
$521.58 < μ < $666.1
Step-by-step explanation:
Spring break can be a very expensive holiday. A sample of 80 students is surveyed, and the average amount spent by students on travel and beverages is $593.84 at 92% confidence level. The sample standard deviation is approximately $369.34. Is $521.58 ≤μ≤ $666.10 correct?
Given that:
number of samples (n) = 80 students, mean (μ) = $593.84, standard deviation (σ) = $369.34, confidence level (c) = 92% = 0.92.
α = 1 - c = 1 - 0.92 = 0.08
the z score of 0.46 (0.5 - 0.04) is the same as the z score of 0.04. This is gotten from the Normal Distribution Table.
Therefore,
The margin of error (e) is given as:
The confidence interval = (μ - e, μ + e) = ($593.84 - $72.26, $593.84 + $72.26) = ($521.58, $666.1)
The confidence interval is $521.58 < μ < $666.1
X + 4 units
4 x 4 = 16 units
112 - 16 units = 96 units divided by four (number of sides of garden) =
24. X = 24
However to check
24 + 4= 28
x 4
___
112 So X=24
Answer:
- simplifies to -2x -17 = 5x -10
- x = -1 . . . . the solution
Step-by-step explanation:
-2(x+5)-7=3x+2(x-5) . . . . starting equation
-2x -10 -7 = 3x +2x -10 . . . eliminate parentheses using the distributive property
-2x -17 = 5x -10 . . . . . . . . . collect terms
-7 -2x = 5x . . . . . . . . . . . . . add 10
-7 = 7x . . . . . . . . . . . . . . . . . add 2x
-1 = x . . . . . . . . . . . . . . . . . . . divide by 7