Answer:
![\textbf{$x \in (-\infty, 3] $}\\](https://tex.z-dn.net/?f=%5Ctextbf%7B%24x%20%5Cin%20%28-%5Cinfty%2C%203%5D%20%24%7D%5C%5C)
Step-by-step explanation:
![\textup{Given:}\\$ 4x + 6 $\textup{Subtracting $6$ from both the sides }\\$ 4x \leq 18 - 6 \hspace{5mm} (=12) $\\\textup{Dividing by $4$ on both the sides: \hspace{15mm} [Note that the sign of the inequality changes only when we divide it by a negative number]}\\$$ x \leq 3 $$\\\textup{$x$ can be any real number less than or equal to 3.}\\$ \iff x \in R^- \cup \{a : 0 \leq a \leq 3\} $](https://tex.z-dn.net/?f=%5Ctextup%7BGiven%3A%7D%5C%5C%24%204x%20%2B%206%20%24%5Ctextup%7BSubtracting%20%246%24%20from%20both%20the%20sides%20%7D%5C%5C%24%204x%20%5Cleq%2018%20-%206%20%5Chspace%7B5mm%7D%20%28%3D12%29%20%24%5C%5C%5Ctextup%7BDividing%20by%20%244%24%20on%20both%20the%20sides%3A%20%5Chspace%7B15mm%7D%20%5BNote%20that%20the%20sign%20of%20the%20inequality%20changes%20only%20when%20we%20divide%20it%20by%20a%20negative%20number%5D%7D%5C%5C%24%24%20x%20%5Cleq%203%20%24%24%5C%5C%5Ctextup%7B%24x%24%20can%20be%20any%20real%20number%20less%20than%20or%20equal%20to%203.%7D%5C%5C%24%20%5Ciff%20x%20%5Cin%20R%5E-%20%5Ccup%20%5C%7Ba%20%3A%200%20%5Cleq%20a%20%5Cleq%203%5C%7D%20%24)
Answer:
238 gallons
Step-by-step explanation:
81 + 60 + 53 + 44 = 238
Answer:
L = 10 in
W = 2.5 in
Step-by-step explanation:
Let length be L and width be W
Perimeter = L + L + W + W
Perimeter =2L + 2W
given than length is 4 times the width, or
L = 4W (substitute this back into the perimeter equation above)
Perimeter =2L + 2W
Perimeter =2(4W) + 2W
Perimeter =8W + 2W
Perimeter = 10W
given that the perimeter is 25in
25 = 10W
W = 25 / 10 = 2.5 in (answer for width)
L = 4W = 4(2.5) = 10 in (answer for length)
Answer:
On average, they travel 145 miles in a day
Step-by-step explanation:
2,320 ÷ 16 = 145
Answer:
3
Step-by-step explanation:
The f^-1 notation indicates you need to find the inverse of the function
y=2x+1
x=2y+1
Exchange the x & y variables. Note this is what accomplishes that reflection across the line y = x
7=2y+1
-2y=1-7
-2y=-6
Divide both side of the equation by -2
negative divide negative is positive so
y=3
