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murzikaleks [220]
3 years ago
6

F(x) = 2x - 3 and f(x) = f'(x), find the value of x.​

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok

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Answer:

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Step-by-step explanation:

Given:

Number of minutes used to make cookie written on box = 30 minutes.

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Solution:

We can say that;

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framing in equation form we get;

t\leq 30

Hence The inequality represents the scenario is t\leq 30.

7 0
3 years ago
2 divided by 1 third
BARSIC [14]

2 divided by 1 third

2 divided by 1/3

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5 0
3 years ago
Jennifer has $50 in her bank account. She deposits $15 per week. Write a linear
Romashka [77]

Answer:

y=-15x+50

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Y is the total number of money she has.

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4 0
3 years ago
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Kristen just deposited $6,500 into a new bank account that pays 4.5% interest the first year and 3% compounded annually each yea
vladimir2022 [97]

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

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If this amount were added to the original amount each year for two years, the total would be:

$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800

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notka56 [123]

Answer:

w = -7

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.

Divide -2 from both sides:

(14)/-2 = (-2w)/-2

(14)/-2 = w

Note that when you are dividing:

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In this case:

(14)/-2 = -7

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