Answer:
a. Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. The flower bed is 2,400 ft from the hive
Step-by-step explanation:
a. Mathematically, the distance will be ;
the speed * time taken
Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes
So the distance from the flower bed to the hive is;
Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. We want to find the distance of the flower bed from the hive
That will be;
20 ft per second * 2 minutes (120 seconds)
= 20 * 120 = 2,400 ft
Answer:
D
Step-by-step explanation:
Answer:
Part 1:
Domain= {2,3,8,9}
Range = {7,9,14}
Part 2: Yes it is not a function
Step-by-step explanation:
Domain is the first number
Range is the second.
Domain= {2,3,8,9}
Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)
Function: Is any of the domain numbers the same: Answer Yes it's a function.
Area is base x height
12 x 6 = 72
the area is 72 in^2
2x2-5x-18=0
Two solutions were found :
x = -2
x = 9/2 = 4.500
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 18 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-18
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization
Equation at the end of step 2 :
(2x - 9) • (x + 2) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
