Answer:
See below
Step-by-step explanation:
<u>Sides of the garden</u>
<u>New dimensions of the garden</u>
<u>1. The area of the new garden</u>
- (16 + 2x)(8 + x) =
- 2x^2 + 32x + 128
<u>2. The difference in area </u>
- 2x^2 + 32x + 128 - 16*8 =
- 2x^2 + 32x
<u>3. x= 2 effect on the area</u>
- 2*2^2 + 32*2 =
- 8 + 64 =
- 72 ft²
<u>4. Area difference = 160</u>
- 2x^2 + 32x = 160
- x^2 + 16x - 80 = 0
- Solving we get positive root of 4 ft
<u>5. Area difference = 4 times</u>
- 2x^2 + 32x = 128*3
- 2x^2 + 32x - 384 = 0
- x^2 + 16x - 192= 0
- Solving we get positive root of 8 ft
Answer:
96
Step-by-step explanation:
Here again are the multiples of 6, 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96,… If we divide any of these multiples by 6, we get a quotient with remainder zero.
Answer:
y = 1/2x -3
x=-2 ⇒ y = -4
x=-1 ⇒ y = -3.5
x=0 ⇒ y = -3
x=1 ⇒ y = -2.5
x=2 ⇒ y = -2
Step-by-step explanation:
Hi, to answer this question we have to isolate y:
x - 2y = 6
-2y =6-x
y = (6-x)/-2
y = -3+1/2x
y = 1/2x -3
Now, we have to create a table with the next values (see attachment)
x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4
x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5
x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3
x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5
x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2
Feel free to ask for more if needed or if you did not understand something.
Answer: x^5+5x^4+x^3
Step-by-step explanation:
assuming the expression is x^3(x^2+5x+1) each term in the bracket is multiplied by x^3
x^3(x^2+5x+1)
=(x^3*x^2)+(x^3*5x)+(x^3*1)
=x5+5x^4+x^3
I think it's 720
Have a GREAT day!
