Answer:
<u>The correct answer is D. x + 5≤ - 4</u>
Step-by-step explanation:
Let's review which inequality has - 12 in its solution set, this way:
A. x + 6 less-than negative 8
-12 + 6 < - 8
-6 < - 8 Not correct
B. x + 4 greater-than-or-equal-to negative 6
- 12 + 4 ≥ - 6
- 8 ≥ - 6 Not correct
C. x minus 3 greater-than negative 10
- 12 - 3 > - 10
<u>- 15 > - 10 Not correct</u>
D. x + 5 less-than-or-equal-to negative 4
- 12 + 5 ≤ - 4
- 7 ≤ - 4 This is correct
<u>The correct answer is D. x + 5≤ - 4</u>
Let the first brother = x
second brother = x + 2
third brother = x + 4
<span>The product of the first and third boys' ages is 20 more than twice the second boy's age:
x(x+4) = 2(x+2) + 20
x</span>² + 4x = 2x + 4 + 20
x² + 4x - 2x - 24 = 0
x² + 2x - 24 = 0
(x - 4)(x + 6) = 0
x = 4 or -6 (rejected, age cannot be negative)
First brother = 4
Second brother = 4 + 2 = 6
Third brother = 4 + 4 = 8
The three boys are 4, 6, and 8 years old.
Answer:
about 201 ft of fencing
Step-by-step explanation:
Including the path the radius would be 32 ft. and the diameter is 64 ft.
C = πd where C is the circumference and d is the diameter.
So, C ≅ 3.14(64) ≅ 201 ft.
Answer:
x+6y=9 - > y= (-1/6)x+(3/2)
x - 6y=-9 - > y= (1/6)x+(3/2)
-9x - 6y = -9 - > y = (-3/2)x +(3/2)
3x - y = - 6 - > y= 3x + 6
-63x - y = - 6 - > y = - 63x + 6
3x + y = 6 - > y = -3x +6
Step-by-step explanation:
The standard form of the equation of a line is: y=ax+b
You seperate y from x and the constant value(the number) and then devide tge equation with the coefficient of y. Obviously it mustnt be division by zero.
