F(-9)
f(x)=-5x-2
=-5(-9)-2
=45(-2)
=90
g(-2)
g(x)=3xsquared-21x
=3(-2squared)-21(-2)
=3(4)+42
=12+42
=54
Answer:
Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is .
Answer:
No
Step-by-step explanation:
Think of it like this. 6/10 is 60% and 5/20 is 25%. These two values aren't the same.
<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
