Answer:
x=1
Step-by-step explanation:
Answer:
- 27 and 7
Step-by-step explanation:
To obtain f(- 6) substitute x = - 6 into f(x), that is
f(- 6) = 4(- 6) - 3 = - 24 - 3 = - 27
To obtain g(- 3) substitute x = - 3 into g(x), that is
g(- 3) = - 3(- 3) - 2 = 9 - 2 = 7
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,

where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
,
,
and

Hence, substituting these values in the above formula, we get,

Simplifying the terms, we get,

Adding the terms, we have,

Thus, the surface area of the triangular prism is 1664 square inches.
Answer:
I hope it gets easier for you :)
Question:
Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25
Answer:
It takes 4 years for the total cost of each club to become equal
Step-by-step explanation:
Given:
For yoga studio A:
membership: $24.00
monthly fee: 21.50.
For yoga studio B:
membership: $41.00
monthly fee: $17.25
To Find:
Number of months after which the total cost for each health club be the same = ?
Solution:
Let x be the number of months of membership, and y be equal the total cost.
For Yoga club A
y = 21.50 x + 24
For Yoga club B
y = 17.25 x + 41.00
we know that the prices, y , would be equal, we can set the two equations equal to each other.
21.50 x + 24 =17.25 x+ 41.00
Grouping the like terms,
21.50x - 17.25 x= 41.00
- 24
4.25x=17
x=
x = 4