I assume the equation is
√(2x - 5) - √(x + 6) = 0
Note the domains for the root expressions:
• √(2x - 5) : 2x - 5 ≥ 0 ⇒ x ≥ 5/2
• √(x + 6) : x + 6 ≥ 0 ⇒ x ≥ -6
So any valid solution we find must be at least 5/2.
Move one term to the other side.
√(2x - 5) = √(x + 6)
Take squares.
(√(2x - 5))² = (√(x + 6))²
2x - 5 = x + 6
Solve for x :
x = 11
Answer:
4 inches per second
Step-by-step explanation:
Speed = distance/time
Given
Distance = 20 feet
12 inches = 1 foot
X inches = 20 feet
X = 20 x 12 = 240 inches
Time = 1 minute = 60 secs
Therefore
Speed = 240/60
= 4 inches per second
Answer:
x = 2.25 y = 0.75
Step-by-step explanation:
2x = 9.5- 5
2x = 4.5
x = 4.5 ÷ 2
x = 2.25
know we now what is x so in the second one we evaluate x
3(2.25) + 5y = 10.5
6.75 + 5y = 10.5
5y = 10.5- 6.75
5y = 3.75
y = 3.75 ÷ 5
y = 0.75
that's it !
if you want to check your answer you can evaluate x and y so it will be like
2×2.25 + 5
= 4.5 + 5 = 9.5
and
3× 2.25 +5×0.75
= 6.75 + 3.75 = 10.5
7 / 1/3
therefore
21 x 1/3= 7
Answer:
A <u>z-score</u> indicates how far an individual raw score falls from the mean of a distribution; the <u>standard deviation</u> indicates how the scores in general scatter around the mean.
Step-by-step explanation:
We have been given an incomplete statement. We are supposed to complete the given statement.
We know that z-score of a data set indicates that a sample score or raw score is how many standard deviation away from the mean. Z-score indicates the distance of a raw score is above or below mean in units.
Therefore, the correct word for 1st blank would be "z-score".
We also know that standard deviation represents the variation of a data set. It tells that data points of a data set are how much close or away from mean of the data set.
Therefore, the correct word for 2nd blank would be "standard deviation".