The numbers are 9 and 10.
Let x be the first number. Since they are consecutive, this means (x+1) represents the second number.
The square of x is x². The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1
The difference of these squares would be given by
x²+2x+1 - x²
Setting this equal to 19,
x²+2x+1 - x² = 19
Combining like terms,
2x+1=19
Subtract 1 from each side:
2x+1-1=19-1
2x=18
Divide both sides by 2:
2x/2 = 18/2
x = 9
The first number, x, is 9. This means the second number, x+1, is 9+1=10.
When solving a system by graphing you need to see where the lines intersect.
Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1
The red dot represents the intersection is about (1, 5)
The original point is: (1.667, 5.667)
Hope this helped!
Answer:
$63.29
Step-by-step explanation:
1. $59.99* 5.5%= 3.29945
2. 3.29945 +$59.99 = 63.28945
3. round to $63.29
there i hope i help :)
Seven because 1+2 is 3 and 3+1 is 4 so in total is seven
There are 13 girls and 4 more students that are boys that made an A grade. Thus there are 13+4=17 students that are either girls or A students.
The probability of choosing a girl or A student is 17/30.