Answer: See the picture attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:
Since:
It is a Reduction.
You can identify that the vertices of the quadritaleral are:
So you need to multiply the coordinates of eac vertex by 
in order to get the coordinates of the image.
Then, you get:
Now you can plot the points and draw the image of the given quadrilateral.
See the picture attached.
Answer:
Commutative Property
Step-by-step explanation:
Commutative property, changes the order of the addends does not change the sum
Ex)
16+45=45+16
Answer:
At x= 20.10723974, both f(x)=g(x)
Step-by-step explanation:
f(x) = 300(1-0.04)^x = 300(0.96)^x
g(x) = 60(1+0.04)^x = 60(1.04)^x
now equate both of them and calculate x
300(0.96)^x = 60(1.04)^x
5(0.96)^x = (1.04)^x
ln(5) + x ln(0.96) = x ln(1.04)
x={ln(5)}/{ln(1.04)-ln(0.96)}
x= 20.10723974
I guess its 3.5x (edited) .....
Answer:
$191
Step-by-step explanation:
The function is given by :
m(x) = 4.50x-7 ...(1)
Where
m(x) is the total cost if you buy x 12 packs of Mountain Dew.
We need to find the cost you pay to buy 44 12-packs of Mountain Dew
Put x = 44 in equation (1), we get :
m(x) = 4.50(44)-7
m(x) = 198-7
m(x) = $191
Hene, the cost for 44 12- packs of Mountain Dew is $191.
