The answer for this question is 0.2
Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V = 1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer : D ) 19 ft³
Answer:
A =62x^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is given by
A=2(wl+hl+hw)
Given a width of 2x and length of 3x and a height of 5x, substitute into the equation
A = 2(2x*3x+ 5x*3x+ 2x*5x)
A = 2(6x^2 + 15x^2 +10x^2)
Combine like terms
A = 2(31x^2)
A =62x^2
The value of 
is 
Explanation:
The function 
is given by
The function 
is given by
To determine the value of , let us first substitute the value of .
Thus, we get,
Now, substituting for 
in the function , we get,
Simplifying, the expression, we get,
Multiplying the term within the bracket, we have,
Thus, the value of is
Hence, the value of represents the total amount of money that Barrett earns for working x hours.
