Answer:
(a) no
(b) -1, (2, -1)
(c) 4, (4, 7)
(d) no
Step-by-step explanation:
<h3>(a)</h3>
You can check by using x=3 in the function.
f(3) = 4(3) -9 = 12 -9 = 3 . . . . not -3
The point (3, -3) is not on the graph.
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<h3>(b)</h3>
Put x=2 into the function and evaluate:
f(2) = 4(2) -9 = 8 -9
f(2) = -1
The point (2, -1) is on the graph.
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<h3>(c)</h3>
Put f(x) = 7 into the equation and solve for x.
7 = 4x -9
16 = 4x
4 = x
The point (4, 7) is on the graph.
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<h3>(d)</h3>
no, see part (b)
I hope this helps you
132-x+6x-12=180
5x=60
x=12
6y+18+132-x=180
6y+150-12=180
6y=42
y=7
Step-by-step explanation:
3 meters = 300 cm
anyway, the ratio tells us that the whole ribbon can be seen as the combination of 3 + 2 = 5 equally long parts.
one such part is then
3 m / 5 = 0.6 m or 60 cm
the shorter piece is 2 of these parts long :
2 × 0.6 = 1.2 m or 120 cm
Answer:
The surface area of the prism is 72 square units.
Step-by-step explanation:
In order to calculate the surface area of the prism we must calculate the area of each face of the prism. To better visualize it we can look at the picture below. We must calculate the area of every face in the picture, so we have:
surface area = 2*[(1/2)*3*4] + 3*5 + 4*5 + 5*5
surface area = 12 + 15 + 20 + 25
surface area = 72 square units