The axis of symmetry of a quadratic function
is given by the equation
, where h is the x-coordinate of the vertex and is equal to
.
1.
2.
3.
The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
39=9x+7-3x+20
Subtract 27 from each side
12=6x
2=x
Now plug in 2 for x to find AB and BC
9x+7= AB
9(2)+7=AB
18+7= AB
25= AB
-3x+20= BC
-3(2)+20= BC
-6+20= BC
14= BC
First one:
you can add -10m and -13m but you can't add -10m and 2m^4 becuase the powers aren't the same so
when adding the like terms
look at the:
powers, (x^3 adds with x^3)
placehloder letter (x adds with x and y adds with y and so on)
-10m+2m^4-13m-20m^4
powers: m^1 and M^4
placeholders: all m
add
-10m-13m+2m^4-20m^4
-23m-18m^4
second one:
when multiplying exponents, you add with like
so if you multipliy
x^2yz^3 times x^4y^2z^2 thne you would get x^6y^3z^5
when multiply with coeficients
2x^2yz^3 times 4x^4y^2z^2=8x^6y^3z^5
so using associative property a(bc)=(ab)c
2/3 times p^4 times y^3 times y^4 times s^5 times 6 times p^2 times s^3
group like terms
(2/3 times 6) times (p^4 times p^2) times (y^3 times y^4) times (s^5 times s^3)
(4) times (p^6) times (y^7) times (s^8)
4p^6y^7s^8
Answer:
(a) The largest square side is 24 inches
(b) No. of pieces are 14
Step-by-step explanation:
As per the question:
The dimensions of the fabric are 
(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:
Therefore,
The GCF of the dimensions = 
Therefore, the largest side of a square that can be cut from the fabric is 24 inches.
(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:
No. of pieces = 
No. of pieces = 
= 14
There are 6 other positions in the string, each with 26 choices. So if you fix BO as the first two letters, there are
possible strings that you can make.
If BO is at the end of the string, you still have
possible strings.
Together, then, you have
possible strings.
