Answer:
4 18/12 - (2 8/12+ 3/12)= 2 7/12
Step-by-step explanation:
First you want to know that you want to subtract the bird seed Jackie got (2 2/3 and 1/4) by the total Jackie bought (5 1/2).
Now set up the equation as 5 1/2 - (2 2/3+ 1/4). Now you need to realize that the fractions are not the same and need to be changed to similar denominators. 2 can be changed to any even denominator so it matters less to what we change it to, so let's focus on the bird seed Jackie used and convert it. 2/3 and 1/4 can be changed into 12's so multiply on the numerator and denominator to get these values. 2/3 would then become 8/12 and 1/4 would become 3/12. 1/2 would then also become 6/12.
Now that we have changed the fractions you want to change the expression to 5 6/12 - (2 8/12+ 3/12). Now add the values in the parentheses to get 5 6/12 - (2 11/12). Now to make this easier add more 12's to 5 6/12 by putting it to 4 18/12. the new equation will be 4 18/12 - 2 11/12, finally subtract from from the same types of numbers: 4-2= 2 18/12-11/12= 7/12. The answer would be 2 7/12.
Answer:
given that and .
(If these weren't your functions and you understand neither way, please let me know. Thank you kindly. Have a nice day.)
Step-by-step explanation:
.
So here we want to start with the inside first.
That is, start with .
Let then
We need to solve for .
f(c)=2
8c+6=2
Subtract 6 on both sides:
8c=2-6
8c=-4
Divide both sides by 8:
c=-4/8
c=-1/2
Since then .
So now we need to find .
Let then .
So we need to solve for .
Subtract 7 on both sides:
Multiply both sides by 3:
So we have .
----------------Another way!--------------------------
We could actually find the functions that are inverses of the given functions.
The basic idea is that we need to swap x and y:
Now we need to remake y the subject.
Subtract 6 on both sides:
Divide both sides by 8:
is the inverse of .
Again the basic idea to find inverse is to swap x and y:
Now solve for y.
Subtract 7 on both sides:
Multiply both sides by 3:
is the inverse of .
Now let's find:
Answer:
8x^2
Explanation:
First, do prime factorization of each of the coefficients:
32 ⇒ 2^5
24 ⇒ 2^3, 3
The greatest common factor (GCF) of the coefficients is 2^3 = 8.
Next, find the GCF of the variables:
x^2
x^2, y
The GCF of the variables is x^2.
Finally, multiply the GCF of the coefficients by the GCF of the variables to get:
8x^2
Answer: cost of 1 pot of ivy = $12
Cost of 1 rose bush =$ 10
Step-by-step explanation:
Step 1
Let rose bushes be represented as r
and pot of ivy be represented as p
such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as
7 r + p = 82----- eqn 1
Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as
5r +2 p = 74----- eqn 2
Step 2
Solving
7 r + p = 82----- eqn 1
5r +2 p = 74----- eqn 2
By elimination method Multiply eqn 1 by 5 and eqn 2 by 7
35r+ 5p= 410--- eqn 3
35r+ 14p =518--- eqn 4
Subtracting eqn 4 from eqn 3
9p = 108
p = 108/9
p=12
p = pot of ivy = $12
therefore rose bush wll be ( from equation 1)
7r+ p= 82
7r=82-12
7r= 70 r= 70/7
r= rose bush =$ 10
To compress horizontally means you multiply the scale factor by "x"