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Grace [21]
3 years ago
13

F(x) = 6x + 3 g(x) = 3x - 2

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

Step-by-step explanation:

g(x) = 3x² + 1

This is an up-opening parabola with vertex at (0,1).

Plot (0,1)

Plot (1,4) and (-1,4).

Plot (2,13) and (-2,13).

Draw the parabola joining the points.

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What is the volume of the composite figure with the dimensions shown in the 3 views? (Round to the nearest tenth)
givi [52]

Answer:

278.9 units^3 to the nearest tenth.

Step-by-step explanation:

This is a cylinder on the bottom . resting on the cylinder is a prism.

Volume of the cylinder = π r^2 h  where r = 1/2 * 7 = 3.5 and h = 6.

V = π * 3.5^2 * 6 = 230.907 units^3.

Volume of the prism = l*w*h

= 4*4*3 = 48 units^3.

Volume of the composite figure = 230.907 + 48

= 278.9.

6 0
3 years ago
Which choice is the explicit formula for the following geometric sequence?0.5, -0.1, 0.02, -0.004, 0.0008, ...
Minchanka [31]
a_1=0.5\\a_2=-0.1\\a_3=0.02\\a_4=-0.004\\a_5=0.0008\\\\a_n=a_1\cdot q^{n-1}\\\\q=a_2:a_1\to q=-0.1:0.5=-0.2\\\\a_n=0.5\cdot(-0.2)^{n-1}=0.5\cdot(-0,2)^n\cdot(-0.2)^{-1}\\\\=0.5\cdot(-0.2)^n\cdot(-5)=-2.5\cdot(-0.2)^n\\\\\boxed{a_n=-2.5\cdot(-0.2)^n}
6 0
3 years ago
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6 0
3 years ago
Read 2 more answers
The half-life of cobalt-60 (used in
Likurg_2 [28]

Answer:

6.25 gm left

Step-by-step explanation:

Find the number of half lives in 26.3 years

   26.3 / 5.26 = 5 half lives

(1/2)  ^5   = 1/32 nd  of the original will be left

   1/32 * 200g = 6.25 gm left

5 0
2 years ago
Suppose that you invest $6000 into a high yield savings account that earns 2% annual interest and is compounded monthly. If you
Dmitry_Shevchenko [17]

Answer:


Step-by-step explanation:

FV   =   P (1  +  r / n)Yn

n=12

Y=20

P =6000


7 0
3 years ago
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