Given :
Length of yarn, l = 225 yards.
Number of bracelets he made, n = 1000 .
To Find :
How long will the yarn be for each bracelet.
Solution :
Let, length of yarn used in each bracelet is x.
So,
Therefore, length of yarn used in each bracelet is 0.225 yard.
Answer:
Step-by-step explanation:
did u ever hear of the FOIL method ?
First, outside, inside, last
(5x + 2)(x + 1)
FIRST: multiply the first terms in each set : 5x * x = 5x^2
OUTSIDE: multiply outside terms in each set : 5x * 1 = 5x
INSIDE:multiply inside terms in each set: 2 * x = 2x
LAST: multiply last terms in each set: 2 * 1 = 2
so we now have : 5x^2 + 5x + 2x + 2....combine like terms
5x^2 + 7x + 2 <== ur answer
Answer:
16 units.
Step-by-step explanation:
We have that RS = x + 9
RT = 2x and ST = 1
RT + ST = RS
2x + 1 = x + 9
2x - x = 9 - 1 , x = 8
So RT = 2x = 2(8) = 16
Answer:
The answer is B.
Step-by-step explanation:
The original graph of y = x^2 has a vertex at (0,0)
The formula for graph translations is y = (x-#)^2+#
The number inside the parentheses is a horizontal translation.
So, we are given y = (x-(-3))^2+#
The vertex of the graph moves 3 points left, since the number is negative (-3).
The number at the end of the equation is a vertical translation.
So, we are given y = (x+3)^2+4
The vertex of the graph moves 4 points up, since the number is positive (4).
The new vertex is at (-3,4)
Unsure about 4a
4.b) f(x) = 2x2, g(x) = 3x-1
(i) f(3) = 2(3)2 = 2(9) = 18
(ii) g(1) = 3(1)-1 = 3-1 = 2
(iii) g(1/3) = 3(1/3)-1 = 1-1 = 0
(iv) f(3) = kg(1)
18 = 2k, k = 18/2 = 9, k = 9
c) f(x) = 10-3x-x2
C is the point which crosses the y-axis, known as the y-intercept. It's found by plugging 0 in for x: f(0) = 10-3(0) -02 = 10-0-0 = 10
A and B are the x-intercepts, aka solutions or "zeros." These are found by solving for f(x) = 0, factoring the quadratic:
B: -x+2=0, -x+2-2=0-2
-x = -2, x = 2
B: (2, 0)
A: x+5=0, x+5-5=0-5
x = -5
A: (-5, 0)