Answer:

Step-by-step explanation:
A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).
f(x) = (x-3)(x-10)
f(x) = x^2 - 13x + 30
Answer:

Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

The points are (3,5) and (-2,1):

The equation is now:

To calculate b, we use any of the given points and solve for b. Use (3,5):

Operate:

Solve:

The required equation of the line is:

Answer: -10
Step-by-step explanation:
10 x 4 is 40 so with 2 negatives, it turns positive, and 40 plus 10 = 50
Answer:
0.670. M
Step-by-step explanation:
Molarity can be expressed like this:
molarity
= number of moles
/volume (L)
We know the volume, which is 2.37 L
, but we need to find the number of moles. We can do this by dividing 67.3 g by the molar mass of L
i
C
l
:
number of moles =
mass of sample
/molar mass
number of moles = 67.3 g
/(6.94 + 35.45) g/mol =
67.3 g
/42.39 g/mol
number of moles = 1.59 mol
molarity
=
1.59 mol
/2.37 L
= 0.670. M