(85+90+80+100)/4 = 88.75. It's rounds off to 89
Answer:
The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.
This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.
The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.
Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Answer:
4x^2 +84x+440
840 in^2
Step-by-step explanation:
The length of the picture and frame is x+ 22+x= 2x+22
The width of the picture and frame is x +20+x = 2x+20
Area is length times width
A = (2x+22) *(2x+20)
We can FOIL to find the area
first 2x*2x = 4x^2
outer 2x*20 =40x
inner 2x*22 = 44x
last = 22*20 = 440
Add these together
4x^2 +40x+44x+440
4x^2 +84x+440
b. x=4
4x^2 +84x+440
4(4)^2 +84(4) +440
4*16 +336+440
64+776
840