Answer:
length = 48 feet , width = 32 feet
Step-by-step explanation:
Using
2W + 2L = 160 with W = L - 16 , then
2(L - 16) + 2L = 160 ← distribute and simplify left side
2L - 32 + 2L = 160
4L - 32 = 160 ( add 32 to both sides )
4L = 192 ( divide both sides by 4 )
L = 48
Substitute L = 48 into W = L - 16
W = 48 - 16 = 32
Thus length = 48 feet and width = 32 feet
<span>
<u><em>The correct answers are: </em></u>1) f(x)=1/2x;
2) f(x)=2x+1;
3) f(x)=x^3;
4) f(x)=6x.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>Let x be the input. In function notation, the output is denoted by f(x).
For #1, since the output is half of the input, we want to take half of x; this would give us
f (x)=</span></span>

<span><span>x.
For #2, twice the input is 2x; one more than this is 2x+1, which gives us
f (x)=2x+1.
For #3, the cube of the input is x</span></span>³<span><span>, which gives us
f (x)=x</span></span>³<span><span>.
For #4, six times the input is 6x, which gives us
f (x)=6x.</span></span>
Answer:
see below
Step-by-step explanation:
<u>are the rational numbers a subset of all real numbers?</u>
yes of course
by definition the real numbers is the union of the rational numbers and the irrational numbers
so we can say that the rational numbers are a subset
and every rational number is part of the real number
<u>are the rational numbers a subset of the irrational numbers?</u>
No
the rationals numbers are all those numbers that you can write as p/q with q different of 0, and the irrationals numbers are those that you cannot write as a fraction
so as you can see those are two completely different types of number, to be a subset every rational number must be in the irrationals , and by the definition we know it can't happen
Answer:
y<2x−1
Step-by-step explanation:
1 Subtract 2x2x from both sides.
-y>1-2x−y>1−2x
2 Multiply both sides by -1−1.
y<-1+2xy<−1+2x
3 Regroup terms.
y<2x-1y<2x−1