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UkoKoshka [18]
3 years ago
12

What is the solution to f(x) = g(x)? Select each correct answer.

Mathematics
1 answer:
Ber [7]3 years ago
4 0

Answer:

f(x)=g(x) is the only answer

Step-by-step explanation:

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Mr. Smith water is one of his plans every 10 days and another plant every 14 days if you wanted both plans today when is the nex
aleksklad [387]

Answer:

70 days

Step-by-step explanation:

14x5=70

10x7=70

5 0
3 years ago
ABCD is a parallelogram. What is the measure of ∠ACD?
Igoryamba

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

8 0
3 years ago
Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it t
ella [17]

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

8 0
3 years ago
Solve 3(x - 2) &lt; 18. A{x\x&lt;8)<br> B{x1x &gt; 8)<br> C[xlx&lt;-8}<br> D{xl x&gt;-8)
Evgen [1.6K]

Answer:

A. {x | x < 8}

Step-by-step explanation:

First, we divide both sides by 3.

3(x - 2)/3 < 18/3

Then simplify.

x - 2 < 6

Lastly, add 2 to both sides.

x - 2 + 2 < 6 + 2

<u>x < 8</u>

8 0
4 years ago
Farmer Ed has 950 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fen
natulia [17]

The perimeter for this case is given by:

P = y + 2x

Substituting values we have:

y + 2x = 950

The area is given by:

A = x * y

Writing the area based on a variable we have:

A (x) = x * (950 - 2x)\\A (x) = -2x ^ 2 + 950x

We derive the area to obtain the maximum of the function:

A '(x) = -4x + 950

We equal zero and clear x:

-4x + 950 = 0\\4x = 950\\x = 950/4\\x = 237.5

Then, the other dimension is given by:

y = 950 - 2x\\y = 950 - 2 * (237.5)\\y = 475

Finally the maximum area is:

A = (237.5) * (475)\\A = 112812.5 m ^ 2

Answer:

The length and width of the plot that will maximize the area are:

x = 237.5 m\\y = 475 m

The largest area that can be enclosed is:

A = 112812.5 m ^ 2

6 0
3 years ago
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