Answer:
-6
Step-by-step explanation:
8x/3 - 2x/4 = -13
find the L.C.M
<u>32x - 6x </u> = -13
12
<u>26x </u> = -13
12
cross multiply
26x = -156
divide both sides by 26
26x/26 = -156/26
x = -6
68,246 inches of road had been repaved before today.
Step-by-step explanation:
Given,
Length of road repaved so far = 97338 inches
Length repaved today = 29092 inches
Length repaved before today = Total length repaved - Length repaved today
Length repaved before today = 97338 - 29092
Length repaved before today = 68246 inches
68,246 inches of road had been repaved before today.
Keywords: subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
<u>300 feet</u>
Step-by-step explanation:
The absolute value of a number is defined as that number's distance from 0 (the origin) on a number line, regardless of direction.
In this case, the origin can be represented by sea level. Since the lowest point of 300 feet is taken by reference to sea level, it can be said that the absolute value of the point is 300 feet, since this represents its vertical distance from sea level.
Hope this helps!
Answer:
C.
Step-by-step explanation:
Hypothesis testing procedure:
Hypothesis:
The null hypothesis will be the variances of sales of two musical stores are equal and the alternative hypothesis will be the variances of sales of two musical stores are not equal
Level of significance: alpha=0.05
Test statistic: F=variance A/variance B=(30)^2/(20)^2=900/400=2.25
P-value: p=0.107
As the alternative hypothesis mentioned that the variances are not equal this leads to two tailed test. so the p-value is calculated using excel function 2*F.DIST.RT(2.25,24,15).
Conclusion:
The p-value seems to exceed the alpha=0.05 and this depicts that the null hypothesis should not be rejected.
The one-to-one functions given as sets of points and their possible inverse functions are given as
h = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = { (1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = { (1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = { (1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
h⁻¹ = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
i⁻¹ = { (1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
g⁻¹ = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
f⁻¹ = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
The inverse function of a given function should have the coordinates reversed.
Therefore the matches between the given functions and their inverse functions are given in the table below.
function Inverse function
----------- ------------------------
h h⁻¹
g g⁻¹
f f⁻¹
i i⁻¹
Answer:
The given functions and their corresponding inverses are correct.
