Answer:
x=8, y=25. As a point it's (8,25)
Step-by-step explanation:
here is the system:
y=x+17
y=3x+1
notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)
so it'll be:
3x+1=x+17
subtract 1 from both sides
3x=x+16
subtract x from both sides
2x=16
divide by 2
x=8
now, substitute 8 as x into one of the equations and solve for y
let's take the first one for example
y=8+17
y=25
so the answer is x=8, y=25. As a point it's (8,25)
Hope this helps!
The independent variable here is b, the number of mats; the dependent var. is p, the cost of b mats. Thus, p = f(b).
Here, 245 units^3 = pi*r^2*(5 units), or
245 units^3
r^2 = ------------------- = 15.61 units^2. Thus, the radius is sqrt(15.61 units^2), or
5(3.14) units 3.95 units. The DIAMETER is d = 2*r = 7.90 units.
Answer:
The zeros of f(x) are -3, 2 , 6
Step-by-step explanation:
f(x) is a polynomial of degree 3.
If the polynomial is not factorized we will either factorize to find the zero or use trial and error method.
Since the f(x) in the question is in the factorized form. we will have to equate each factor to zero.
f(x) = (x+3)(x-2)(x-6)
x + 3 = 0 => x = -3
x - 2 = 0 => x = 2
x - 6 = 0 => x = 6
