Answer:
x>0
Step-by-step explanation:
- subtract 1 from both sides
- subtract x from both sides
- x>0
(i) In decimals: 0.65
(ii) In percentage: 65%
The graph shows that after the spinner is spun after 40 times. The Fraction of wins is 0.65 out of 1. Look at the very end of the graph to look at the conclusion for probability. Similar cases when, after the spinner is spun after 20 times, the probability is 0.65.
The new polynomial identity is 2(x² + 2xy + y²)
Given,
The polynomial identities
Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)
We have to square an identity from column A and add it with any one identity from column B.
So,
Lets take (x + y)
(x + y)² = x² + 2xy + y²
We can add this identity with x² + 2xy + y² in column B.
That is,
x² + 2xy + y² + x² + 2xy + y²
= 2x² + 4xy +2 y²
= 2(x² + 2xy + y²)
That is,
The new polynomial identity is 2(x² + 2xy + y²)
Learn more about polynomial identity here;
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Answer:
Step-by-step explanation:
Sum of two sides of triangle always greater than third side, so the possible values of h is:
7x-3x < h < 7x+3x
4x < h < 10x
Answer:
notebook: $2.5
pen: $1.5
part B, he can buy 3 pens
Step-by-step explanation:
A
let the cost of notebook be n, cost of pen be p
1. 4n + 3p = 14.5
2. 5n + 6p = 21.5
by 1, you can get 3p = 14.5 - 4n, put it into 2
5n + 2(14.5 - 4n) = 21.5
5n + 29 - 8n = 21.5
3n = 29 - 21.5 = 7.5
n = 2.5
put n = 2.5 into 1
4(2.5) + 3p = 14.5
3p = 4.5
p = 1.5
B
Waseem buy 3 notebooks for each pen, let number of pen be m, then the number of notebook will be 3m
m(2.5) + 3m(1.5) < 27
2.5m + 4.5m = 7m < 27
m < 27/7
maximum integer value for m = 3
