Answer:
x = 30 and y = -34
Step-by-step explanation:
Given the following functions
(1/4)^(x+y) = 256... 1
log₄(x-y) = 3.... 2
From equation 2;
x-y = 4³
x-y = 64
x = 64 + y ... 3
Substitutw 3 into 1
From 1:
(1/4)^(x+y) = 256
(1/4)^(64+y+y) = 256
(1/4)^(64+2y) = 256
Take log₄ of both sides
64+2y log₄ (1/4) = log₄256
-(64+2y) = 4log₄4
-(64+2y) = 4
64+2y = -4
2y = -4 - 64
2y = -68
y = -34
Since
x = 64 + y .
x = 64 - 34
x = 30
Hence x = 30 and y = -34
Answer:
$467.77
Step-by-step explanation:
CHECK THE COMPLETE QUESTION
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
From the question, the commission of the salesperson is 5 1/2 % , we can convert to improper fraction as 11/5%, then we can convert to decimal by dividing the numerator by denominator which is 5.5% , we can convert from percentage by saying(5.5%/100)
= 0.055
A)How much commission will the salesperson earn by selling a couch for $495?
His Commission will be
(0.055 x $495 )
= $27.23
B.How much money will the store get from the sale of the couch?
Since we know this Commission as $27.23, then the amount the store get from sale will be
(difference between the commission and the selling price)
($495.00- $27.23)
= $467.77
Answer:
34 + x = 70 ; 36
Step-by-step explanation:
Given that:
Current amount = 34
Final amount = 70
Number of roses planted by the workers today ;
Current amount + number planted today = final amount
Let number planted today = x
34 + x = 70
x = 70 - 34
x = 36
Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.
The domain and range is all real numbers.
<h3>Answer: D) Domain: (-∞, ∞); Range: (-∞, ∞)</h3>