It would be y=(x+4)²+9.
To complete the square, we divide the value of b, the coefficient of x, by 2 and square it:
(8/2)² = 4² = 16
We would add 16 to this in order to have a perfect square; but we would also need to subtract 16 at the end to keep it equal. This would give us:
y=(x²+8x+16)+25-16
y = (x+4)² + 9
The answer may be 9 if I’m correct
Answer:
They'll meet after 200 meters , if they simultaneously start running towards each other.
Step-by-step explanation:
Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.
Dog: Distance =Speed x time: x=30t
Cat: Distance = 200-x
=24t
The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs
So they will meet after 3.7 seconds
To check:
Distance travelled by dog :x=30(3.7)
=111.11 meters
Distance travelled by cat: 24t=24(3.7)
=88.89 meters
Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89
=200 meters
Answer:
x = $20,000
the manufacturer's list price is $20,000
Step-by-step explanation:
Let x represent the manufacturer's list price.
And c the amount she finally paid
Given that;
She received a discount of 18% off the manufacturer's list price
= x - 18%x
= x - 0.18x
= 0.82x
then had to pay 8% state sales tax.
C = (0.82x) + 8% of (0.82x)
C = 0.82x + 0.08(0.82x)
C = 0.82x + 0.0656x
C = 0.8856x
Since she paid $17,712
C = $17,712
C = $17,712 = 0.8856x
0.8856x = $17,712
x = $17,712/0.8856
x = $20,000
the manufacturer's list price is $20,000
