Answer:
g(4)=f(2)
Step-by-step explanation:
f(2)=3(2)-1
f(2)=6-1
f(2)=5
We then get:
g(x)=f(2)
subsitute 5 for f(2)
g(x)=5
now solve
5=2x-3
add 3
8=2x
divide 2
4=x
so the answer is x=4 or
g(4)=f(2)
Answer:
A
Step-by-step explanation:
SAS = side-angle-side
This means that, in order to prove that the triangles are congruent, they must have two congruent sides with the angle between them to the same.
We know that sides AB, ED, AC, and DF are all congruent as they all have a single mark through them. From this, you can conclude that the triangles already share two sides. All we need now is the angles in between to be congruent. This means that angle A and angle D need to be congruent.
I hope this helps!
Answer:
3/2 x +1 = 5/4x - 5
3/2 x+1 =5/4
x−5
Step 1: Subtract 5/4x from both sides.
3/2 x+1−5/4
x=5
4x−5−5/4x
1/4x+1=−5
Step 2: Subtract 1 from both sides.
1/4x+1−1=−5−1
1/4
x=−6
Step 3: Multiply both sides by 4.
4*(1/4x)=(4)*(−6)
x=−24 Mary has 24 shells
Answer:
-x=−24
x = 24 shells
Step-by-step explanation:
1. 2 3/4 x 16 = 44 + 6 = 50 shells x= 16
2 3/4 x 24 = 66 + 6 = 72 x = 24
We see the side workings in bold as if Mary has 24 and Nancy has 1x more
Then Nancy 24+24 = 48 where Gracie 5 x 24 = 120 and we have 72-48 = 24 and 120-72 = 48 being the same as Nancy. You can ignore or check the rest in explanation.
2 3/4 x 18 = 49 1/2 + 6 = 55 1/2 x= 18
2. 2 3/4 x 16 = 44 -4 = 40 shells x = 16 2 3/4 x 24 = 66 - 4 = 62 x = 24
2 3/4 x 18 = 49 1/2 - 4 = 45 1/2 x = 18
3. 2 3/4 x 16 = 44 + 4 = 48 shells x = 16 2 3/4 x 24 = 66 + 4 = 70 x = 24
2 3/4 x 18 = 49 1/2 + 4 =53 1/2 x = 18
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have 
. So
Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have 
.
Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have 
.
Due to the higher Z-score, Demetria should be offered the job.
I believe it is B. I could be wrong but I am hoping that you get it right
