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3 years ago

Solve the multistep inequality. 4x + 3 < 5x − 6

Mathematics

2 answers:

Ilya [14]3 years ago

6 0

5x-4x = x

3+6 = 9

x= 9

HACTEHA [7]3 years ago

3 0

Answer:

x > 9

Step-by-step explanation:

Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.

First, subtract 5x and 3 from both sides of the inequality:

4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)

4x - 5x < -6 - 3

-x < -9

Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:

(-x)/-1 < (-9)/-1

x < -9/-1

x > 9

x > 9 is your answer.

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Find (g*f)(3)<br><br> f(x)= 7x + 8 <br> g(x)= -1/x

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Answer:

-21-24/x

Step-by-step explanation:

f(x) is a function on his own which is f(x)=7x+8

we multiple it with another function which is g(x)=-1/x

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3 years ago

Given f(x) = x3 + 8, find the value of x when f(x) = 0.

77julia77 [94]

The value of x is -2 when f(x) = 0

Step-by-step explanation:

In any function f(x) = y

x is the input
y is the output
If f(x) = 2 x + 3, then f(a) = b means when you substitute x by a the value of y = b

∵ f(x) = x³ + 8

To find value of x when f(x) = 0, substitute f(x) in the equation by

0 and solve the equation to find the value of x

∵ f(x) = 0

∴ 0 = x³ + 8

- Subtract 8 from both sides

∴ -8 = x³

- Take ∛ for both sides

∵ $\sqrt[3]{x}=x$

∵ $\sqrt[3]{-8}=-2$

∴ x = -2

The value of x is -2 when f(x) = 0

Learn more:

You can learn more about the functions in brainly.com/question/10879401

#LearnwithBrainly

7 0

3 years ago

If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in

Vilka [71]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

Amount invested = $396

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Time = 3 years

We will use the "Exponential growth formula" i.e.

$A=Pe^{rt}$

Here,

P denotes Principle amount

r denoted rate of growth

t denotes number of years,

So, it becomes

$A=396e^{0.13\times 3}\\\\A=396e^{0.69}\\\\A=\$584.88$

Hence, First option is correct.

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