(1, 1) and (4, -4)
Slope formula is : m = (y₂-y₁) / (x₂-x₁)
In this case :
x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4
Now that you know what variable counts as what, we simply just need to plug everything in.
m = (-4 - 1) / (4 - 1)
Simplify.
m = -5/3
Therefore, your slope is -5/3
~Hope I helped~ :)
Answer:
$106
Step-by-step explanation:
The formula given for Monthly payment of a loan =
P × [ r (1 + r)/(1 + r)^n - 1
Where
r = interest rate
n = number of monthly payments
P = Present value of the loan
From the question,
r = interest rate, we were told to ignore hence, r = 0
P = $3,175
n = 30
Hence,
Amount to be paid monthly = P/n
= $3175/30
= $105.83
Approximately to the nearest dollars
= $106
<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation
is zero
<u>Solution:</u>
For a Quadratic Equation of form :
---- eqn 1
The solution is
Now , the given Quadratic Equation is
---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In
,
is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation

Since -3 is less than 0, this means that there are 0 real solutions in this equation.