Answer and Step-by-step explanation: <u>Distributive</u> <u>Property</u> describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:
11(2 + 4)
11(6) = 66 22 + 44 = 66
So, for the expression that represents the area:
5.5(7.5 + x) = 41.25 + 5.5x
As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.
The expressio for area of a rectangular mural is 41.25 + 5.5x.
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37
/−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
Answer:
a) 2 b) 1 c) 7/6
Function a(x) = 2x + 3 has the greatest rate of change
Step-by-step explanation:
a(x) = 2x + 3
2(-1) + 3 = 1 (-1,1)
2(2) + 3 = 7 (2,7)
= 6/3
=2
b(x) = x^2 - 1
(-1)^2 - 1 = 0 (-1, 0)
(2)^2 - 1 = 3 (2,3)
= 3/3
=1
c(x) = 2^x + 1
2^(-1) + 1 = 1.5 (-1, 1.5)
2^(2) + 1 = 5 (2,5)
= 3.5/3 or 7/6
=7/6
9. 1/3+(x+20)+(x-10)+40=360 10. 1/2x+1/2x+(x-15)+(x-25)+100=540
1/3+2x+50=360 4x+60=540
(3/1) 1/3+2x=300(3/1) 4x/4=480/4
2x=300 X=120
————
2
W=150
Answer: Root 3 / 3
Step-by-step explanation: Use unit circle trigonometry.
