Answer:
x = 8
Step-by-step explanation:
if f(x) = -17
then we can type:
- 3 x + 7 = -17
solving for "x", subtract 7 from both sides
- 3 x = - 17 - 7
- 3 x = - 24
divide both sides by -3 to isolate "x"
x = -24 / (-3)
x = 8
Answer:
3 boxes of fertilisers.
Solving steps:
<u>Part A</u>:
Area of the garden, rectangle:
Length * Width
12 * 7
84 m²
Area of patio:
m²
Area of grass:
Area of the garden - Area of patio
84 m² - 9 m²
75 m²
<u>Part B</u>:
32 m² ↔ 1 box
1 m² ↔ 
box
75 m² ↔ 
boxes
75 m² ↔ 2.34375 boxes
- As she cannot buy exact 2.34375 boxes.
She should buy 3 boxes of fertilisers.
Answer:
Step-by-step explanation:
Domain is the x values. The interval of x-values that the function encompasses are from 0 inclusive to 7 exclusive. In interval notation that is [0, 7). The range is the y values. The interval of y-values that the function encompasses are from what looks like -2 to 4. In interval notation that is [-2, 4]. The domain goes from the lowest x-value to the highest; the range goes from the lowest y-value to the highest.
Consider the triangles formed by the lines of sight in parts a and b. In part a, the distance from the horizontal to the base of the antenna is 82.0*tan31.0º; in part b, the distance from the horizontal to the top is 82.0*tan34.2º. The antenna height is the difference between these
<span>h = 82.0*tan34.2º - 82.0*tan31.0º = 82.0*(tan34.2º - tan31.0º) = 6.46 m</span>
Hello,
Answer D -3<x<27
Indeed:
1)
if x-12≥0 then x≥12 and
|x-12|=x-12x-12<15 → x<27
so 12≤x<27
2) if x-12<0 then
x<12 and|x-12|=-(x-12)<15
-x+12<15-x<3 → x>-3
So -3<x<12
Thus -3<x<12 U 12≤x<27 ⇔ -3<x<27
