<span>x – 12 ≥ 18
Let's break down the sentence and create an inequality from it. We'll use X to represent the number.
"Twelve fewer than a number is at least 18."
The "Twelve fewer than a number" indicates subtraction, so let's do that.
X - 12
"is at least 18." would be a greater than or equal relationship. So we have
X - 12 ≥ 18
And we're done. The desired equation is:
x – 12 ≥ 18</span>
Answer:
D? maybe, I'm not sure. it jsut makes the most sense.
Answer:
Step-by-step explanation:
To find how far she can walk in 3 minutes, we need to find how fast she can walk in 1 minutes. We do this by dividing the distance she walked by the time she walked. Lets do so.
3200/24=133.33
She walks 133.33 meters per minute. Now to find her distance in 3 minutes w multiply this number by 3.
133.33*3=400
Barbra walks 400 meters every 3 minutes.
Answer:
Dimensions of the rectangular plot will be 500 ft by 750 ft.
Step-by-step explanation:
Let the length of the rectangular plot = x ft.
and the width of the plot = y ft.
Cost to fence the length at the cost $3.00 per feet = 3x
Cost to fence the width of the cost $2.00 per feet = 2y
Total cost to fence all sides of rectangular plot = 2(3x + 2y)
2(3x + 2y) = 6,000
3x + 2y = 3,000 ----------(1)
3x + 2y = 3000
2y = 3000 - 3x
y = ![\frac{1}{2}[3000-3x]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B3000-3x%5D)
y = 1500 - 
Now area of the rectangle A = xy square feet
A = x[
]
For maximum area 
A' =
= 0
1500 - 3x = 0
3x = 1500
x = 500 ft
From equation (1),
y = 1500 - 
y = 1500 - 750
y = 750 ft
Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.
two fencing 3(500+500) = $3000
other two fencing 2(750+750) = $3000
Answer:

Step-by-step explanation:
Hello,
a and b are the zeros, we can say that

So we can say that

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b
for instance we can write

and we can notice that
so
![(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab](https://tex.z-dn.net/?f=%28x-2a-3b%29%28x-3a-2b%29%3Dx%5E2-5%28a%2Bb%29x%2B6%5B%28a%2Bb%292-2ab%5D%2B13ab%5C%5C%3D%20x%5E2-5%28a%2Bb%29x%2B6%28a%2Bb%29%5E2%2Bab)
it comes

multiply by 3
