Answer:
<u>44 cows and 36 ducks.</u>
Step-by-step explanation:
x is ducks and y is cows.
Assuming both have 1 head each, we can write:
x + y = 80.
Let's assume each x(cow) has 4 legs and each y(duck) has two legs.
Then we can add the numbers of legs:
2x + 4y = 248 legs
Now rearrange x + y = 80 to:
x = 80-y
and substitute:
2x + 4y = 248 legs
2(80-y) + 4y = 248 legs
160 - 2y + 4y = 248 legs
2y = 88 legs
<u>y = 44 [There are 44 cows]</u>
Use this value to find the number of ducks:
x + y = 80
44 + y = 80
<u>y = 36 [There are 36 ducks]</u>
========================
Check:
Do 44 cows and 36 ducks have a total of 248 legs?
4*44 + 2*36 = 248 ?
176 + 72 = 248?
<u>YES</u>
Answer:
The range of the equation is y ≥ 9 ⇒ C
Step-by-step explanation:
The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h =
and k is the value of y at x = h
- The range of the quadratic if it has a minimum vertex is y ≥ k, and y ≤ k if it has a maximum vertex
- The parabola has a minimum vertex if the value of a is positive and a maximum vertex if the value of a is negative
∵ The equation is y = x² + 9
→ Compare it with the form above to find a and b
∴ a = 1 and b = 0
∵ a is a positive number
∴ The parabola has a minimum vertex
→ By using the 1st rule above
∴ The range is y ≥ k
→ Use the rule of h above to find it
∵ h =
= 
∴ h = 0
→ To find k substitute x by the value of h and y by k
∵ k = (0)² + 9
∴ k = 0 + 9
∴ k = 9
∴ The range of the equation is y ≥ 9
You should know this if you rated yourself as college level...
Answer:
x = 32 words
Step-by-step explanation:
Okay...let's get solving! :D Firstly, we
let the word list be x and convert the long paragraph into an equation that we can use.
one-fourth = 1/4
Memroized = 8 words

Thus, we solve the equation.
x = 32 words
FbjfunbbhdzDkdghkjccghmcxdjkcykdkkxtn