First you set f(x) and h(x) equal to each other. So 1/x+1=2x+3. Next, you multiply each side by 1 to cancel out the fraction. So now the answer is x+1=2x+3. Now subtract 1 from each side. X=2x+2. Subtract 2x from each side now. -2x=2. Divide by -2x and get the answer x= -1
Answer:
B
Step-by-step explanation:
9514 1404 393
Answer:
A, M, N, F
Step-by-step explanation:
I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.
See attached for the reflected points.
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The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.
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The transformations of interest are ...
(x, y) ⇒ (y, x) . . . . reflection over y = x
(x, y) ⇒ (-x, y) . . . . reflection over y-axis
(x, y) ⇒ (x, -y) . . . . reflection over x-axis
(x, y) ⇒ (-y, -x) . . . . reflection over y = -x
Answer:
63 boquets were sold in the afternoon.
Step-by-step explanation:
Divide 90 by 10 to get 9. Then multiply 9 by 3.
Answer:
23.1 pounds.
Step-by-step explanation:
Multiply 140 by 0.165.
Answer:
A. 14040 cubic inches
B. 61 gallons
Step-by-step explanation:
The volume of a cuboid is given by the formula ...
V = LWH
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<h3>A.</h3>
One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.
One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.
The volume of the fish tank is ...
V = (39 in)(18 in)(20 in) = 14,040 in³
The volume is 14,040 cubic inches.
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<h3>B.</h3>
One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.
976 cups equals 61 gallons.
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<em>Additional comment</em>
One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.