Answer:
A
Step-by-step explanation:
covert to slope intercept form
x-y=2
-y=-x+2
y=x-2
Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time. The combinations can be shown as C(9,5), 9C5.
C(9, 5) =
9/5(9-5) =
9*8*7*6*5 / 5*4
The 5 terms cancel.
9*8*7*6 / 4*3*2 =
9*7*2 =
126
The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126.
Answer:
3+x<5x+2
Step-by-step explanation:
the sum of the number 3+xis less than so 3+x<5×x+2
<em>so</em><em> </em><em>final</em><em> </em><em>ans</em><em> </em><em>is</em><em> </em><em><u>3</u></em><em><u>+</u></em><em><u>x</u></em><em><u><</u></em><em><u>5</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em>
The ordered pairs already plotted have x-coordinates: -3, -2, 1, and 2.
A function cannot have two ordered pairs with the same x-coordinate.
The answer cannot have -3, -2, 1, or 2 as the x-coordinate.
Answer: First choice (-1, 2)
I can't answer this question if we don't know by what scale the cylinder's radius was reduced. Luckily, I found the same problem that says the radius was reduced to 2/5. So, we find the ratio of both volumes.
V₁ = πr₁²h₁
V₂ = πr₂²h₂
where r₂ = 2/5*r₁ and h₂ = 4h₁
V₂/V₁ = π(2/5*r₁ )²(4h₁)/πr₁²h₁= 8/5 or 1.6
<em>Thus, the volume has increased more by 60%.</em>
