A) - 14 is the correct answer
Answer:
Equation = 1/4 x + 25 = 70
Solution = $180
Explanation:
Let the original amount she had before she went shopping be x
If she spent one-fourth on sloth, then the amount spent on cloth will be;
1/4 x
If she receives another $25 a week later totalling her money $70, then the equation that represents the situation will be;
1/4 x + 25 = 70
Find the solution
1/4 x + 25 = 70
1/4 x = 70 - 25
1/4 x = 45
x = 45 * 4
x = 180
Hence the amount she had before going for shoppind was $180
Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
This is the concept of inequality;
We are told that the distance a car travels depends on how full gas tank is, this means that the car will travel until the point when gasoline is finished. Thus,
This mean that if the if the distance is given by the function f(x), x will be the gasoline since it is the dependent variable, liters this in other words can be written as (if the tank holds 89 ):
f(x)=distance(gasoline)<89
thus the correct answer will be:
B] Distance (amount of gasoline) < 89
