Answer:
Ms.Jones is faster
Step-by-step explanation:
Answer:
-3,8
Step-by-step explanation:
1) we can factor this since this quadratic function is in the form of
ax^2+bx+c
where we need to find out what*what=c
and what+what=b
since c is -24 and b is -5 we need to figure out the factors of -24 which equal -5:
-8+3=-5
and
-8*3=-24
hence -8 and 3 is our factors, next we will substitute them in place of "b"
so
n^2-8n+3n-24
split this equation in two groups:
group 1) n^2-8n
group 2) 3n-24
gcf of group 1= n
so
n(n-8)
gcf of group 2: 3
so
3(n-8)
next take numbers outside of parentheses and group them together:
so (n+3) (n-8)=0
since anything times 0 is equal to 0, either (n+3) is 0 or (n-8) is 0
so
n+3=0
n=-3
n-8=0
n=8
hence n=-3,8
Hope this helps!
Answer:
Step-by-step explanation:
Mixed Nuts = 5 cups
Raisins = 1 cup
Chocolate chips = 2 cups
pretzels = 3 cups
Ingredients for 2 batches
Multiply all ingredients by 2
Mixed Nuts = 5 cups × 2
Raisins = 1 cup × 2
Chocolate chips = 2 cups × 2
pretzels = 3 cup × 2
Mixed Nuts = 10 cups
Raisins = 2 cups
Chocolate chips = 4 cups
pretzels = 6 cups
Ingredients for 3 batches
Multiply all ingredients by 3
Mixed Nuts = 15 cups
Raisins = 3 cups
Chocolate chips = 6 cups
pretzels = 9 cups
Ingredients for 4 batches
Multiply all ingredients by 4
Mixed Nuts = 20 cups
Raisins = 4 cups
Chocolate chips = 8 cups
pretzels = 12 cups
Ingredients for 5 batches
Multiply all ingredients by 5
Mixed Nuts = 25 cups
Raisins = 5 cup s
Chocolate chips = 10 cups
pretzels = 15 cups
Answer:
This is a many-to-one function as the value of y = -1 corresponds to two values of x:

Step-by-step explanation:
<u>Function</u>
A special relationship where each input (x-value) has a single output (y-value).
A function is <u>one-to-one</u> if each value in the range (y-values) corresponds to exactly one value in the domain (x-values).
A function is <u>many-to-one</u> if some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).
This is a many-to-one function as the value of y = -1 corresponds to two values of x:

This is not a function as the value of x = -5 corresponds to two values of y:

This is not a function as the value of x = -2 corresponds to two values of y:

This is not a function as the value of x = -4 corresponds to two values of y:
