Answer:
B. a reflection across X axis and then a dilation by a scale factor of 1.5
Step-by-step explanation:
As clear from the graph all the coordinates of image 2 are 1.5 times of image 1 so shape 2 is dilated by the scale factor 1.5.
It is evident from the graph that lines AO and A"O"are parallel to each other so shape 2 is the reflection of shape 1.
Now we calculate the magnitude of line AB
m1 = (y2-y1)/(x2-x1)
=(-3+6)/(-4.5=9)
=3/4.5
=1/1.5
=2/3
Next we calculate magnitude m2 of A"B"
m2= (2-4) /(-3+6)
=(-2/3)
Then we know Tan(180-∅) = -tan∅
similarly if m1=(-m2)
then the one line having magnitude m2 is the rotated image through X axis by 180° of the line having magnitude m1.
So the answer is B.
<span>2g^3-g^2-8g+4
= g^2(2g - 1) - 4(2g - 1)
=(2g - 1)(g^2 - 4)
= (2g - 1)(g + 2)(g - 2)</span>
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Management quality and corporate reputation are independent.
Management quality and corporate reputation are not independent.
Test statistic:
The critical 
for
and 
is 
Test statistic:
therefore rejecting the null hypothesis 
.
p-value
Interpretation:
There is no internal governance quality as well as the reputation of the organization.
A dime is worth 10 cents and a quarter is worth 25 cents.
Let D be the number of dimes and Q be the number of quarters.
Since the total amount of coins in the pocket is 32, then:
On the other hand, the total value of D dimes is 10D, while the total value of Q dimes is 25Q. Then, the total value of D dimes and Q cuarters is 10D+25Q, which must be equal to 545. Then:
Notice that we have found a 2x2 system of equations:
Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:
Replace back Q=15 into the expression for D to find the amount of dimes:
Therefore, the amount of dimes that the man has is 17.
Answer:
4(n-7)=12
Step-by-step explanation:
4(n-7)=12
4n-28=12
4n=40
n=10
