Answer:
-4 or -9
Step-by-step explanation:
-a^2-13a-36=0
(-a-4)(a+9)=0
-a-4=0
a+9=0
a= -4, -9
(-1,2) is a solution
y>x
2>-1 is correct
in this case yes
x+y≥x
-1+2≥-1
1≥-1 is correct: Yes
in this case no
x+y≥y
1≥2
is not correct. No
Answer:
y = -1/4x - 1.
Step-by-step explanation:
y = 4x + 5
The slope of this is 4 so the slope of line perpendicular to this line = -1/4.
Using the formula y - y1 = m(x - x1):
y - (-1) = -1/4(x - 0)
y + 1 = -1/4x
y = -1/4x - 1.
Answer:
7.92 cubic units
Step-by-step explanation:
The volume formed is V = ∫πx²dy
Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1
So, V = ∫₀¹πx²dy
= ∫₀¹π[ ∛(4y)]²dy
= π(∛4)²∫₀¹[ ∛(y]²dy
= π(∛4)²∫₀¹y^³/₂dy
= π(∛4)²[y^⁵/₂]₀¹
= π(∛4)²[1^⁵/₂ - 0^⁵/₂]
= π(∛4)²[1 - 0]
= π(∛4)²
= 7.92 cubic units
Answer:
Yes, his calculation is reasonable. He will have about $16.67 left.
Step-by-step explanation:
200 - (200 * .2) = $160 <em>Subtract money for savings</em>
99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 <em>Add taxes</em>
160 - 143.33 = $16.67 <em>Subtract money for purchases from money left after savings</em>
