Answer:
Step-by-step explanation:
The graph that represents the function
f(x) = (x + 4)(x + 1)(x - 3)
crosses the x-axis three times: at x = -4, x = -1, and x = 3
because we apply the zero product rule and found the roots -4, -1, and 3
x+ 4= 0 → x = -4
x+1 = 0 → x = -1
x-3 = 0 → x = 3
Answer:
y = -2x - 1
Step-by-step explanation:
Rewrite y + 7 = -2(x - 3) in slope-intercept form (which is y = mx + b):
First, perform the indicated multiplication:
y + 7 = -2x + 6
Combining the constants, we get
y = -2x - 1
This is the desired equation in slope-intercept form. slope is -2 and y-intercept is -1.
Answer:
she buys 64 plants in total
The square root of 110 is 10.49. Hope this helps you!
Answer:
16682.7 cm³
Step-by-step explanation:
The total volume is the volume of the cone plus half the volume of a sphere:
V = ⅓ π r² h + ½ (4/3 π r³)
V = ⅓ π r² h + ⅔ π r³
V = ⅓ π r² (h + 2r)
Given that r = 4.15 cm and h = 10.2 cm:
V = ⅓ π (4.15)² (10.2 + 2×4.15)
V ≈ 333.65
The volume needed for 50 cones is therefore:
50V ≈ 16682.7 cm³
