Answer:
x = -5
Step-by-step explanation:
Simplifying
6x + -3(x + -8) = 9
Reorder the terms:
6x + -3(-8 + x) = 9
6x + (-8 * -3 + x * -3) = 9
6x + (24 + -3x) = 9
Reorder the terms:
24 + 6x + -3x = 9
Combine like terms: 6x + -3x = 3x
24 + 3x = 9
Solving
24 + 3x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 3x = 9 + -24
Combine like terms: 24 + -24 = 0
0 + 3x = 9 + -24
3x = 9 + -24
Combine like terms: 9 + -24 = -15
3x = -15
Divide each side by '3'.
x = -5
Hope this Helps
I hope this is correct
Answer:
2n +10= 140
4n- 40= 80
2n= 3n - 20
Step-by-step explanation:
it is the am progression or sum progression
PART 1If I have graph f(x) then graph f(x + 1/3) would translate the graph 1/3 to the left.
For example, I have f(x) = x².Then
f(x + 1/3) = (x + 1/3)²
I draw the graph of f(x) = x² and the graph of f(x) = (x + 1/3)² on cartesian plane to know what's the difference between them.
PART 2If I have graph f(x) then graph f(x) + 1/3 would translate the graph 1/3 upper.
For example, I have f(x) = x².Then
f(x) + 1/3 = x² + 1/3
I draw the graph of f(x) = x² and the graph of f(x) = x² + 1/3 on cartesian plane to know what's the difference between them.
SUMMARY
f(x+1/3) ⇒⇒ <span>f(x) is translated 1/3 units left.
f(x) + 1/3 </span>⇒⇒ <span>f(x) is translated 1/3 units up.</span>
Answer:
C (x ≥ -6)
Step-by-step explanation:
<u>Algebraic:</u>
The domain of
is
. When transformed 6 units to the left, it becomes 
<u>Graphically:</u>
As shown in the attached graph,
.
Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:

What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So



has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79