<em>*To solve an inequality, it's the same as solving an equation; isolate the variable to one side.</em>
For this, all you need to do is divide both sides by -4. And since we are dividing by a <u>negative</u>, flip the inequality sign and your inequality is
Now to graph this. Since x can be "equal to" 1/4 ( ≤ = less than or equal to), you will have a <u>closed circle on 1/4.</u> And since x can also be "less than" 1/4, <u>the arrow will be going to the left of 1/4.</u>
Answer:
length : 15 ft
width : 3 ft
Step-by-step explanation:
perimeter = 2×l(ength) + 2×w(idth) = 36
l = 3w + 6
=> 2×(3w+6) + 2w = 36
6w + 12 + 2w = 36
8w = 24
w = 3
=> l = 3w + 6 = 3×3 + 6 = 9+6=15
Answer:
c
Step-by-step explanation:
distribute the parenthesis by - 1 and collect like terms
= 5x² + 9x + 3 - 6x² + 3x
= (5x² - 6x²) + (9x + 3x) + 3
= - x² + 12x + 3 → c
Answer:
75
Step-by-step explanation:
Let t and u represent the tens and units digits, respectively.
t = u + 2 . . . . the tens digit exceeds the units digit by 2
t + 2u = 17 . . . . the sum of the tens digit and twice the units digit is 17
Substituting for t in the second equation, we get ...
(u +2) +2u = 17
3u = 15 . . . . . . . . subtract 2
u = 5 . . . . . . . . . . divide by 3
t = u+2 = 7
The number is 75.
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<em>Check</em>
7 exceeds 5 by 2. 7 + twice 5 = 7 + 10 = 17.