Answer:
y = 5x^2-5x-30
Step-by-step explanation:
A parabola with x-intercepts at (-2,0) and (3,0) has the equation
y = a(x+2)(x-3)
where a is to be determined.
We know that it passes through the point (0,-30), so
-30 = a(0+2)(0-3) = -6a
Therefore solve for a to get
a = 5
y = 5(x+2)(x-3)
y = 5(x^2-x+6)
y = 5x^2-5x-30
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Let
x -----> the amount of weight
y ----- the amount a spring will stretch
we know that
For x=80 lb, y=2.1 in
<em>Find the value of k (constant of proportionality)</em>
substitute the values
The linear equation is
How far will it stretch when 40 pounds is attached?
For x=40 lb
substitute the value of x in the linear equation and solve for y
Answer:
The answer is -4
Step-by-step explanation:
Answer:
The answer to your question is 17, -5, 10
Step-by-step explanation:
Coefficients are the numbers that come before a variable (letter) like x, y or z.
In your question
17 is the coefficient of 17x
-5 is the coefficient of -5y
10 is the coefficient of 10z
In this problem, there are 3 variables and then there are 3 coefficients.
Answer:
(x + 4)² + (y - 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, 9) and r = 10 ÷ 2 = 5, thus
(x - (- 4))² + (y - 9)² = 5², that is
(x + 4)² + (y - 9)² = 25
