Answer:
f( x ) = 4( )
Step-by-step explanation:
If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.
Therefore, the previous function is expressed by the following ...
f( x ) = ... then this new function should be -
f( x ) = 4( )
The equation of this new function is f( x ) = 4( )
The factored form would be (x+3)(x+4) since 4*3 = 12 and 4+3 = 7
Answer:
21.4% of 855=182.97
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 855 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 855 is 100%, so we can write it down as 855=100%.
4. We know, that x is 21.4% of the output value, so we can write it down as x=21.4%.
5. Now we have two simple equations:
1) 855=100%
2) x=21.4%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
855/x=100%/21.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 21.4% of 855
855/x=100/21.4
(855/x)*x=(100/21.4)*x - we multiply both sides of the equation by x
855=4.67289719626*x - we divide both sides of the equation by (4.67289719626) to get x
855/4.67289719626=x
182.97=x
x=182.97
now we have:
21.4% of 855=182.97
Hope this helped :)
#BrainlyAnswers
Answer:
1. x = 9.75,
2. x = 36,
3. x = 12
Step-by-step explanation:
See attachment below;
Answer:
ACT Score performed better.
Step-by-step explanation:
Given :
ACT :
Mean score, μ = 21.2
Standard deviation, σ = 5.1
Score, x = 26
SAT :
Mean score, μ = 1498
Standard deviation, σ = 347
Score, x = 1800
To know which score is better, we obtain the standardized, Z score of the two examination :
Zscore = (x - μ) / σ
ACT Zscore :
(26 - 21.2) / 5.1
Zscore = 4.8 / 5.1 = 0.941
ACT Zscore = 0.941
SAT Zscore :
(1800 - 1498) / 347
Zscore = 302 / 347 = 0.870
SAT Zscore = 0.870
The student with the higher Zscore performed better :
ACT Zscore > SAT Zscore