Answer:
a. ? = 12
b. ? = -4
c. ? = 4
d. ? = -3
e. ? = -3
Step-by-step explanation:
There are two ways to do this. The first of which is the algebraic method. Plug in y = 0 and solve for x.
y = 4x - 2
0 = 4x - 2 ... y is replaced with 0
4x-2 = 0
4x-2+2 = 0+2 ... we add 2 to both sides
4x = 2
4x/4 = 2/4 .... divide both sides by 4
x = 1/2
x = 0.5
The x intercept is x = 1/2 or x = 0.5
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The other approach is to graph the equation y = 4x-2, and mark where the line crosses through the x axis. You should find it crosses through x = 1/2 or x = 0.5; the x intercept as an ordered pair would be (1/2, 0) or (0.5, 0)
side note: the equation y = 4x-2 goes through the points (0,-2) and (1,2). You find this by plugging in x = 0 and x = 1 respectively to find the corresponding y values.
Move the constant to the right-hand side and change its sign
Subtract the numbers
Divide both sides of equation by 2
The volume of every of the 25 cylindrical containers is 235,500/25 = 9,420 in^3
The formula for the volume of a cylinder is:
V = π(r^2).h
Where π=3.14, r = 2.5 in, V = 9,420 in^3, so you can obtain h as:
h = V / (πr^2) = 9,420 / [(3.14) (2.5^2)] = 480 in
Answer:
x = 3 and x = -7
Step-by-step explanation:
The method I used is the x method, where you place the constant on the top and the coefficient of the second term on the bottom. From there, you find two numbers that multiply to get the top number (21) and add to give the bottom number (4).
You should get -3 and 7. You should be able to rewrite the equation as so:
(x - 3) (x + 7)
Set both equal to zero separately and solve:
x - 3 = 0
x = -3
x + 7 = 0
x = -7
