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Tems11 [23]
2 years ago
10

What are the intercepts of the line 3x – 15y = 60?   A. x-intercept: –4; y-intercept: 20   B. x-intercept: –3; y-intercept: 15  

C. x-intercept: 20; y-intercept: –4   D. x-intercept: 5; y-intercept: 20
Mathematics
1 answer:
AnnZ [28]2 years ago
8 0
X intercept is when y = 0
3x -15(0) = 60
3x = 60
x = 20

y intercept is when x=0
3(0) -15y = 60
-15y = 60
y = -4

Answer is C
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You can represent an odd integer whith the expression 2n+1, where n is any integer . Write and solve an equation to find three c
oksian1 [2.3K]
Any odd number can be expressed by 2n+1.

For example,  

2n+1=111
2n=110
n=110/2=55

means that 111 is 2n+1 for n=55


Thus if an odd number is 2a+1, the next few numbers are as follows:

2a+1, 2a+2, 2a+3, 2a+4, 2a+5

So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.


Back to our problem: 

three consecutive odd numbers whose sum is 63 are:

(2n+1)+(2n+3)+(2n+5)=63

6n+9=63

6n=63-9=54

n=54/6=9


2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23


Answer: 19, 21, 23



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