Answer:
x = - 5, x = - 2
Step-by-step explanation:
Given
f(x) = x² + 7x + 10
To find the x- intercepts let f(x) = 0, that is
x² + 7x + 10 = 0 ← in standard form
(x + 2)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 5 = 0 ⇒ x = - 5
The x- intercepts are (- 5, 0) and (- 2, 0 )
My advice is don't smoke and make sure you don't keep the two close together. Hope this helped,
First of all, to find the slope, you need to subtract the y's in the numerator over the x's in the denominator. Then you use Y-Y₁=slope(X-X₁) using either of the two points. If you want to simplify it further into slope-intercept form, you need to distribute on the right side of the equation.
Answer:
x and (x - 6)
Step-by-step explanation:
y = a(x - h)² + k
h = 3 k = -2
y = a (x - 3)² -2
For point (0 , 0) on the function
0 = a (0 - 3)² -2
0 = 9a - 2
a = 2/9
a (x - 3)² -2 = 2/9 (x² - 6x + 9) - 2 = 2/9 * x * (x - 6) + 2 - 2 = 2/9 * x * (x-6)
Answer:
less than 55 minutes
Step-by-step explanation:
11 laps at 5 minutes per lap is 55 minutes.
Since she will run fewer than 11 laps, she will run less than 55 minutes.
