-22 is a whole, rational, integer.
-22 is not irrational ... it's the ratio of -22 to 1 .
The natural numbers are the counting numbers ... 1, 2, 3, etc.
-22 is not one of those.
Answer:
Step-by-step explanation:
It appears that the number of bulbs produced on the first shift is quite a bit more than the second shift. 5.5 times more, actually. That means that the first shift's output is based on the second shift's output. Second shift produced an unknown number of bulbs, so we will call that number x. First shift produced 5.5 times more, so first shift produced 5.5x. The total number of bulbs produced between the 2 shifts is given as 16,250, so
x + 5.5x = 16,250 so
6.5x = 16,250 and
x = 2500
The second shift produced 2500 bulbs, and the first shift produced 5.5(2500) = 13,750 bulbs.
y = -3(x<span> - 2)^2 + 1 </span>x<span>-coordinate of vertex: </span>x<span> = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1 </span>Vertex form: y = -3(x<span> - 2)^2 + 1 Check. Develop y to get back to standard form: y = -3(</span>x^2 - 4x + 4) + 1 = -3x<span>^2 + </span>12x<span> - </span>11<span>. </span>
Answer:
x = -2
y = 5
Step-by-step explanation:
Given two equations
1. 7x + 10y = 36
2. y = 2x + 9
Substitute 2x + 9 for y in equation 1.
We have
7x + 10y = 36
7x + 10(2x + 9) = 36
Distribute 10 into (2x + 9)
We have
7x + 10 x 2x + 10 x 9 = 36
7x + 20x + 90 = 36
27x + 90 = 36
Subtract 90 from both sides to eliminate 90 on the left side
27x + 90 - 90 = 36 - 90
27x = -54
Divide both sides by 27 to isolate x
27x/27 = -54/27
x = -2
Now substitute -2 into either equation to get y
Using equation 2, we have
y = 2x + 9
= 2 x -2 + 9
= -4 + 9
= 5
x = -2
y = 5
Check
7(-2) + 10(5) = 36
