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Elenna [48]
2 years ago
7

Solve for x: 6 x2 + 2x - 3 2 = 0

Mathematics
1 answer:
Zigmanuir [339]2 years ago
8 0

I think the answer is 10 because:

6x2=12

12+2x-32=0

make the like terms together = 12-32+2x=0

= -20+2x=0

again make the like terms together = 2x=0+20 [sign changes when it goes to the other side]

so, 2x=20

x=20/2 [ multiplication will change into division when it goes to the other side]

therefore x=10

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Answer:

  0.14 lb . . .  closest choice is 0.11 lb

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The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

  A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

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The weight of material is the product of volume and density, so is ...

  W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

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<em>Comment on the question</em>

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

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Step-by-step explanation:

<u />

<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

Initial amount = $500

<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

f(x)=a(1+r)^x

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Given:

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\implies f(x)=500(1+0.06)^x

\implies f(x)=500(1.06)^x

<u>Part (e)</u>

when x = 3

\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}

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