Answer:
- D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Step-by-step explanation:
<u>Equation for the volume and solution:</u>
- 7/8x - 8 = 216
- 7/8x = 216 + 8
- 7/8x = 224
- x = 224*8/7
- x = 256 cm³
Correct option is D.
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
Answer: 1:3
Step-by-step explanation: You would divide both sides by 6 and get 1:3 poodles to beagles
8ft by 12ft and 10ft by10ft
I lost:
205 pounds* (4/100)= 8.2 pounds.
The correct answer is D. 8.2 pounds~
