let x be the first integer
x+ 2 the second integer ( two consecutive even )
smaller integer added to three times the larger <span>x + 3 ( x+2)
</span>two less than five times the smaller <span>5x - 2</span>
x + 3 ( x+2) = 5x - 2
x+3x +6 = 5x -2
x=8
the first integer = 8
the second is x+2 =10
The solutions would be +0.37 and -0.37.
When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:
x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25
Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87
Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37
We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
a) P = 2(l+w) Sadie
P =2l+2w Eric
b) Sadie : P = 2(30+75) = 2(105) = 210
Eric: P = 2(30) +2(75) = 60+150 =210
Answer:
It is a linear function because there is a constant rate of change in both the input and output values
Step-by-step explanation:
To determine if the function is linear, calculate the differences between the y values.
If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.
<u>difference between y values (output)</u>
7 - 4 = 3
3 - 1 = 3
1 - -2 = 3
⇒ the function is linear
<u>difference between x values (input)</u>
-2 - -5 = 3
-5 - -8 = 3
-8 - -11 = 3
⇒ the function is linear as there is a constant rate of change in both the input and output values
In a day there are 24 hours (obviously)...
so then you put 14/24 then you simplify this fraction to the lowest term....
divide both numbers by 2 which is 7/12...
i hope this helped :)
