Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
We should first find where the graph doesn't exist, which would be where the denominator is equal to 0 or the formula under the radical is negative. So we can write the equation x-3≤0 to find where the graph can't exist
x-3≤0
x≤3
So this means that no x values less than or equal to 3 can exist on this graph. So the only choice that isn't less than or equal to 3 is choice 2 (7)
Hope this helps
Considering the ballon to be spherical
It's volume is given by 4/3(π r^3) by differentiating volume with respect to time we get rate of change of volume hence,
4πr^2(dr/dt)=600÷60=10
Substituting r=30cm
4π(30)*(30)(dr/dt)=10
dr/dt=rate of increase in bullion's radius=1/(360π)cm/s
Answer:
yes, its a solution
Step-by-step explanation:
6(-2)+5(1)=-7
-12+5=-7 this is correct
2(-2)-4(1)=-8
-4-4=-8 this is also correct
