Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.
Step-by-step explanation:
x is the price of the battery
x + 1.50 is the price of the torch
x + (x + 1.50) is 2.50
x + (x + 1.50) = 2.50
2x = 2.50 - 1.50
2x = 1
x = 1/2
x = 0.50
The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.
Answer:
t = - 3, t = - 1
Step-by-step explanation:
Given
h(t) = t² + 4t + 3
To find the zeros equate h(t) to zero, that is
t² + 4t + 3 = 0
Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term
The factors are + 3 and + 1, since
3 × 1 = 3 and 3 + 1 = 4, thus
t² + 4t + 3 = (t + 3)(t + 1) = 0
Equate each factor to 0 and solve for t
t + 3 = 0 ⇒ t = - 3
t + 1 = 0 ⇒ t = - 1
smaller zero is t = - 3
larger zero is t = - 1
The equation is: 3x^3 = 4x + 8
The form is ax^2 + bx + c = 0
Rewrite the given equation to equal 0:
Subtract 3x^2 from both sides to get:-3x^2 + 4x + 8 = 0
Now give each letter their value:
a = -3, b = 4, c = 8
6 acts as the base. 15 acts as the height, because it extends from the base to meet vertex opposite the base at a 90° angle.
General formula for triangle area
a = 1/2 × b × h
plug in the numbers
a = 1/2 × 6 × 15
a = 90/2
a = 45
The area of the triangle is 45 units²
