Answer:
x = 14
Step-by-step explanation:
I don't know which one you are supposed to solve it by so I will do both.
Solution by Cross Multiplication
For the equation
7x=24
The cross product is
7×4=x×2
Solving for x
x=7×42
and reducing
x=14
Solution by Proportion
Since the equation is an equality
If
7 ÷ 2 = 3.5
Then it is true that
x ÷ 4 = 3.5
Solving for x
x = 4 × 3.5
x = 14
The slope is 1, -3 - 2 over 0 - 5 = -5/-5 which = 1
Step-by-step explanation:
y = 0.5x + 4
When y = 2, x = -4. (shown in graph)
When y = 6, x = 4. (shown in graph)
Hence the domain would be -4 <= x <= 4.
9514 1404 393
Answer:
A: 144 cm
B: 64 cm
C: 36 cm
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr²h
Solving for h, we get ...
3V/(πr²) = h
Filling in the given values, we get ...
3(192π)/(πr²) = h
576/r² = h
Then the heights of the different cones are ...
A: r = 2, h = 576/4 = 144 . . . cm
B: r = 3, h = 576/9 = 64 . . . cm
C: r = 4, h = 576/16 = 36 . . . cm
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
