Answer:
0<x<1
Step-by-step explanation:
(x+3)(x−4)<−12
FOIL
x^2 -4x+3x -12 <-12
x^2 -x -12 <-12
Add 12 to each side
x^2 -x -12+12 <-12+12
x^2 -x <0
Factor out an x
x(x-1) <0
Using the zero product property
x(x-1) =0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x(x-1) <0
- * - >0
False
0<x<1
x(x-1) <0
+ * - <0
True
x>1
x(x-1) <0
+ * + >0
False
46! Because 5 times 3 is 15 and the two big rectangles are equal, that’s 15+15. (30) 5x1 is 5 and THERES two equal things like that so 5+5 (10). 3x1 is 3 and THERES also two equal things so add 3+3. (6) add 30+10+6 which makes 46! :)
Answer:
2/3
Step-by-step explanation:
Given : A geometric sequence : 18, 12, 8, 16/3,…
Solution :
Each term is found by multiplying the previous term by a constant in a Geometric Sequence .
In a Geometric Sequence common ratio is denoted by r

for n = 2

⇒
⇒
for n = 3

⇒
⇒
⇒
Thus the common ratio 'r' = 2/3
To find the correct answer, you have to simplify the equation.
Multiply -1/2 by everything in the parenthesis.
3/4x - 3x - 1/2 - 3x. Combine like terms.
-21/4x - 1/2. Turn -21/4x into a mixed number.
-5 1/4x - 1/2.
Your answer is D
Answer:
4
Step-by-step explanation:
$2x=$8
x=$8÷$2
x=4
We know 1 package cost $2, $2+$2+$2+$2=$8
4times $2 equal to $8