For the first day we have the following function:
f (n) = (0.3 * 10) n + 8
For the second day we have the following function:
f (n) = (0.4 * 10) n + 5
You spent the same amount of money as the day before:
(0.3 * 10) n + 8 = (0.4 * 10) n + 5
3n + 8 = 4n + 5
n = 8-5
n = 3 items
We evaluate each function for n = 3
f (3) = (0.3 * 10) * 3 + 8 = 17 $
f (3) = (0.4 * 10) * 3 + 5 = 17 $
The total amount of money is:
17 + 17 = 34 $
Answer:
you purchase 6 items
you spend at the craft store during the sale $ 34
Answer:
Step-by-step explanation:
4 + 9x + 3 = 29 - 2x
9x + 7 = 29 - 2x
11x = 22
x = 2
Answer:
15 feet
Step-by-step explanation:
This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.
The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.
1. Plug your given values correctly into the Pythagorean Theorem.
2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).
--> Square 8 and 17
--> Subtract 64 from both sides
--> Square root both sides to get b by itself
b = 15
3. The distance is 15 feet
*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder
The point slope form of the line has the following form:
y – y1 = m (x – x1)
The slope m can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (3 - 0) / (0 – 4) = - ¾
So the whole equation is:
y – 0 = - ¾ (x – 4)
y = - ¾ (x – 4) or
<span>y = - 0.75 (x – 4)</span>
Answer:
5x + 15
Step-by-step explanation:
To expand the binomial, you need to multiply each term inside the parentheses by 5.
(x + 3)5
= (x * 5) + (3 * 5)
= 5x + 15
