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3 years ago

14

Solve for x algebraically: 40=7.25x-8.60and22=3.83x+-4.76

1 answer:

vladimir1956 [14]3 years ago

4 0

You want to isolate x.
First, lets move 8.60 to th other side:
40 + 8.60 = 7.25x => 48.60 = 7.25x
Now, divide left and right by 7.25
48.60/7.25 = 7.25x/7.25 => x ≈ 6.7 (rounded)
Tip: throw the equation in wolfram alpha.
I'm sure you can work out the other one.

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Step-by-step explanation:

<u><em>The options of the questions are</em></u>

(0,1) (1,3) (2,6) (3,27)

and the given function is $y=3^x$

we know that

If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation

<u><em>Verify each ordered pair</em></u>

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so

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case 3) (2,6)

substitute the value of x and the value of y in the linear equation and then compare the results

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so

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case 4) (3,27)

substitute the value of x and the value of y in the linear equation and then compare the results

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Let's begin by listing out the given variables:

height (h) = 12 cm, diameter (d) = 8 cm, r = d ÷ 2 ⇒ r = 4 cm, cost of coconut oil (c) = $0.01 /cm³

The formula of cylinder is given by:

V = πr²h = π * 4² * 12 = <u>603.1858 cm³</u>

cost of filling the tin can with coconut oil = cost of coconut oil * Volume of cylinder

Cost = c * V = 0.01 * 603.1858

Cost = $<u>6.03</u>

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