Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.
Hello! The mark down is 12.5%, which means that will still have to pay a portion of the price. Mark down is a discount, where the price of the item goes down. To find the amount that needs to still be paid, subtract 12.5 from 100. 100 - 12.5 is 87.5 You still have to pay 87.5% of the price. Now, let's multiply that number by 32 to get the new price. 32 * 87.5% (0.875) is 28. There. The retail price is $28.
Answer:
b. 11 apples; 1 orange
Step-by-step explanation:
We test each option, and see if the total is $3.50(what you spend). If the result is different, it is not a possible solution.
a. 1 apple; 11 oranges
1 apple for $0.20
11 oranges for $0.30 each
0.20 + 11*0.30 = $3.50
Possible solution
b. 11 apples; 1 orange
11 apples for $0.20 each
1 orange for $0.30
11*0.2 + 0.3 = 2.5
Not $3.5, so this is not a possible solution.
This is the answer
c. 7 apples; 7 oranges
7*0.2 + 7*0.3 = $3.5
Possible
d. 4 apples; 9 oranges
4*0.2 + 9*0.3 = $3.5
Possible
The middle one first then the last one second then the first one first
Y-3=(-5/2)(x+4)
y-3+3=(-5/2)(x+4)+3
y=(-5/2)(x+4)+3
y=(-5/2)x-10+3
y=(-5/2)x-7
D
