Answer:
a) If c=3662 then q=228 and r=14.
b) If c=-3662, then q=-229 and r=2
Step-by-step explanation:
a) Observe that 229*16=3664, since r must be in the interval [0,16), then 229 doesn't work, but 228*16=3648 and 3662-3648=14.
Then 3662=228*16+14.
b) Observe that -228*16=-3648 and -3648-14=-3662, but r= must be positive. Then -228 doesn't work.
But observe that -229*16=-3664 and -3664+2=-3662. So -3662=-229*16+2
The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
We have two points shown in the table:
(-1, -10), and (3, 14)
y - 14 = 6(x - 3)
y = 6x - 4
Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.
Learn more about the slope of the straight line here:
brainly.com/question/3493733
#SPJ1
Let x be the number of Dalmatians without black spots.
So, x+6x is close to 500, which means x=71.
71*7=497, which is the total number of Dalmatians.
Giving away 6% of this will give you around 467 Dalmatians left.
Answer:467 Dalmatians
Step-by-step explanation:
<u>Given</u>
- x + 2y = 3 and xy = 2
- show that x³ + 8y³ + 9 = 0
<u>Solution in steps:</u>
- (x + 2y)³ = 3³
- x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
- x³ + 6x(xy) + 12y(xy) + 8y³ = 27
- x³ + 8y³ + 6(x + 2y)xy = 27 ⇒ Substitute values
- x³ + 8y³ + 6*3*2 = 27
- x³ + 8y³ + 36 - 27 = 0
- x³ + 8y³ + 9 = 0
Done
Larger Number: 28
Smaller Number: 20
