Answer:
Step-by-step explanation:
Consider the given equation
Factor form of a parabola: It displays the x-intercepts.
.... (1)
where, a is a constant and, p and q are x-intercepts.
So, we need to find the factored form of the given equation.
Splinting the middle term we get
.... (2)
On comparing (1) and (2) we get
It means x-intercepts of the given parabola are 4 and 2.
Therefore, equivalent forms of the equation is y=(x-4)(x-2).
Yes it is a function because none of the x-values belong to 2 different y-values. The domain is -4, -3, -2, 0, 2, 3. The range is -3, -1, 0, 2, 3. The value of y when x=2 is -3 because when the x-value was 2 the y-value the point was on equaled -3.
From what I think;
8.216secs - 1 wheel; 3.652- 1 hood
for I toy car with a wheel and hood the total time is 8.216+ 3.652 = 11.868secs
let x secs be the total time taken to put a wheel and hood for 42 cars
x secs = 42 cars × the total time for one car
x secs = 42× 11.868
x secs= 498.456 secs
Answer: 0.6 grams
Solve: 3% of 20 = 0.03 × 20 = 0.6
Answer:
y = 1/4x + 7
Step-by-step explanation:
(-4, 6) and (0, 7)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(7 - 6) / (0 - (-4))
Simplify the parentheses.
= (1) / (0 + 4)
= (1) / (4)
Simplify the fraction.
= 1/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.
7 = 1/4(0) + b
To find b, multiply the slope and the input of x(0)
7 = 0 + b
Now, isolate b.
7 = b
Plug this into your standard equation.
y = 1/4x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 1/4x + 7
6 = 1/4(-4) + 7
6 = -1 + 7
6 = 6
Your equation is correct.
Hope this helps!
