Answer:
12
Step-by-step explanation:
To find the common difference, we take the 2nd term and subtract the first term
17-5 =12
We check it with the 3rd term minus the second term
29-17 = 12
The common difference is 12
We add 12 each time
Answer:
Step-by-step explanation:
Standard form:
Vertex form:
(h, k) is the vertex
x is the coordinate of the vertex
To find x use the formula:
a=1
b=-2
c=-6
Substitute:
Substitute x in equation:
h=1
k=-7
Substitute h, and k into the vertex formula:
Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.
Expplanation.
The <em>expression 12f + 24</em> is an algebraic <em>expression</em>, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.
The algebraic expressions are used to <em>represent</em> word statements in mathematical language.
You can analyze each term of the expression and then tell what the total expresssion represents:
- The first term <em>12f</em>, where f is a variable with degree 1 (the exponent of the variable), <em>represents</em> the multiplication of a quantity (represented by the variable f) by 12.
- 24 is the constant term, it <em>represents</em> an constand addend.
- Hence, the total <em>expression represents</em> the multiplication of a quantity by 12, and, after the multplication is done, added with 24.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
The common factors are: 2, 2 and 3
Thus the GCF 
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth 
Number of pieces for gold cloth 
and
Number of pieces for white cloth 
Answer:
0.
Step-by-step explanation:
1) y'=(x⁴)'=4x³;
2) ∡ y'=0, ⇒ 4x³=0; ⇒ x=0.
