Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
__
When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
__
To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.
(6,-2) are coordinates to Naya’s house
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Step-by-step explanation:
plz forgive me if my answer is wrong
Answer: 6.71
=======================================
Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
Answer:
The slope formed using points (4,6) and (8,0) is
Step-by-step explanation:
Given as :
The points are (4,6) and (8,0)
(
,
) = (4,6)
(
,
) = (8,0)
Let The slope that formed = m
So,
slope = m = ![\dfrac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
m = ![\dfrac{0 - 6}{8 - 4}](https://tex.z-dn.net/?f=%5Cdfrac%7B0%20-%206%7D%7B8%20-%204%7D)
Or, m = ![\dfrac{6}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B4%7D)
∴ m = ![\dfrac{3}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D)
So, The slope formed using points = m = ![\dfrac{3}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D)
Hence , The slope formed using points (4,6) and (8,0) is
Answer