All you have to do is substitute the values in for y to see if they are true.
0: 9 ≤ 6 - 0 = 9 ≤ 6 (FALSE)
3: 9 ≤ 6 - 3 = 9 ≤ 3 (FALSE)
-3: 9 ≤ 6 - -3 = 9 ≤ 9 (TRUE)
-1: 9 ≤ 6 - -1 = 9 ≤ 7 (FALSE)
-6: 9 ≤ 6 - -6 = 9 ≤ 12 (TRUE)
6: 9 ≤ 6 - 6 = 9 ≤ 0 (FALSE)
-4: 9 ≤ 6 - -4 = 9 ≤ 10 (TRUE)
So, the values that belong to 9 ≤ 6 - y are -3, -4, and -6.
Step-by-step explanation:
If the lake's level rose 4 inches and in June it rose 2 more inches, the total amount of distance that he rose is (4+2).
Also if the lake's level fell 5 inches in July and 3 more inches in August as a result of no rain, then the total amount of fall will be (5+3).
Change in height of the lake = total rise in distance - Total fall in distance
Change in height of the lake = (4+2) - (5+3) = (5+3) - (4+2) {commutative law}
open the parenthesis
(4+2) - (5+3)= 4+2-5-3 (note that minus times plus will give minus)
<em>Hence the expressions that best describe this situation are;</em>
1. (4+2) - (5+3)
2. (5+3)-(4+2)
3. (4+2) - 5 -3
Answer:
B
Step-by-step explanation:
Here, we simply want to know who will reach the 6-foot mark sooner
Mathematically, we need to get the slope from the graph
Looking at the graph, we can see that the 3 ft mark was reached at exactly 2 seconds
So what this mean is that, in 4 seconds, the 6 ft mark will be reached
This makes up the fact that the speed for Pete’s travel is 1.5 ft/ secs
Now compare this with what Stephano has, which is 2.25 ft/ s
we can see that stephano is traveling at a better speed and will reach the 6 ft mark first
So the correct option is B
Answer:
w⁴+5w³+17w²+24w +18
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = w²+3w+9
width = w²+2w+2
Area of the rectangle = (w²+3w+9)(w²+2w+2)
Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)
Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18
Collect the like terms;
Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18
Area of the rectangle = w⁴+5w³+17w²+24w +18
Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18
