Answer:
x²+5x - 150 = 0
Step-by-step explanation:
Let the length be y and width be x
If the length of a swimming pool is 10 more than 2 times the width, then;
y = 2x+10 ...1
Since the Area is 300m²
A = xy
300 = xy .... 2
Substitute 1 into 2
300 = x(2x+10)
300 = 2x²+10x
Rearrange
2x²+10x - 300 = 0
Divide through by 2
x²+5x - 150 = 0
This gives the required quadratic expression
Answer/Step-by-step explanation:
1. x = -3.6
Add 1 on both sides.
18x = 23x + 18
Subtract 23x on both sides.
Combine like terms.
Divide the answer.
-5x = 18
x = -3.6
2. x = 11/3 (2.66666...)
Add 5 on both sides.
6x = 3x + 11
Subtract 3x on both sides.
Combine like terms.
Divide the answer.
3x = 11
x = 11/3
3. x = 23
Subtract 12 on both sides.
5x = 6x - 23
Subtract 6x on both sides.
Combine like terms.
Divide the answer.
-x = -23
x=23
(that's all.)
Answer:
3^1
Step-by-step explanation:
3^-5 * 3^6
When multiplying exponents with the same base, we can add the exponents
3^ ( -5+6)
3^1
So 8x+4+4x+8=15x-9
Combine like terms.
12x+12=15x-9
Add 9 to both sides.
12x+21=15x
Subtract 12 from both sides.
21=3x
Divide both sides by 3.
x=7
Now plug in 7 for x in 8x+4.
8(7)+4
56+4
=60
f(x) = x2 - x + 2
f(-1)=(-1)²-(-1)+2=4 contain the point (-1,4)
f(0) = 0²-0+2 = 2 contain the point (0,2)
f(2) = 2²-2+2 =4 contain the point (2,4)
