Answer:
x ≤ -7
(-∞, -7]
Step-by-step explanation:
3x + 5
2x - --------------- ≤ -10
4
1. Multiply 4 on both sides. This eliminates the denominator 4
3x + 5
(4)2x - --------------- ≤ -10(4)
4 (4)
2. Combine like terms
8x - (3x + 5) ≤ -40
8x - 3x - 5x ≤ -40
= 5x - 5 ≤ - 40
3. Add 5 on both sides
5x - 5 ≤ -40
+5 +5
5x ≤ -35
4. Divide
5x ≤ -35
÷5 ÷5
x ≤ -7 or (-∞, -7]
I hope this helps!
The formula for surface area of a sphere is A=4*PI*r^2
Using that formula and the known surface are we can find the radius. We can then use that to find the volume.
500 = 4*PI*r^2
Divide both sides by 4:
500/4 = PI *r^2
125 = PI *r^2
Divide both sides by PI
125/PI = r^2
39.79 = r^2
r = SQRT(39.79)
r = 6.3 cm
Now we can find volume using V=4/3*PI*r^3
V = 4/3 *PI *6.3^3
V= 1051.3
The answer is C
Answer:
10 i think
Step-by-step explanation:
Answer:
y = 2x^2 + 4x - 2
Step-by-step explanation:
y=2(x+1)^(2)-4 is in vertex form. We want the same equation in standard form, which looks like y = ax^2 + bx + c.
Perform the indicated multiplication (squaring of x + 1):
y = 2(x^2 + 2x + 1) - 4, or
y = 2x^2 + 4x + 2 - 4, or
y = 2x^2 + 4x - 2 This is in the standard form of a quadatic.