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3 years ago

Simplify the expression.

Mathematics

1 answer:

Mashcka [7]3 years ago

3 0

Answer:

-2.5

Step-by-step explanation:

-0.25x-6-5.5x-8.4=0

-5.75x-14.4=0

-5.75x=14.4

x= -2.5

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What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
[Integration] Reverse Power Rule: $\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C$

Step-by-step explanation:

Step 1: Define

$f(x) = \frac{1}{\sqrt{800-2x} }$

Step 2: Identify Variables

Using U-Substitution, we set variables in order to integrate.

$u = 800-2x\\du = -2dx$

Step 3: Integrate

Define: $\int {f(x)} \, dx$
Substitute: $\int {\frac{1}{\sqrt{800-2x} } } \, dx$
[Integral] Int Property: $-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx$
[Integral] U-Sub: $-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du$
[Integral] Rewrite: $-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du$
[Integral - Evaluate] Reverse Power Rule: $-\frac{1}{2}(2\sqrt{u}) + C$
Simplify: $-\sqrt{u} + C$
Back-Substitute: $-\sqrt{800-2x} + C$
Factor: $-\sqrt{-2(x - 400)} + C$

Step 4: Identify Domain

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0

3 years ago

Round 27,372 to the nearest ten thousand.

grin007 [14]

Answer:

30,000

Step-by-step explanation:

7 is rounded up, so 2 + 1 is 3, therefore the answer is 30,000

6 0

3 years ago

Read 2 more answers

7.5t = ? kg what is t here and also the answer of it

Nataliya [291]

Answer:

7500 kg

Step-by-step explanation:

t = tonnes

$\because \: 1 \: t = 1000 \: kg \\ \therefore \: 7.5 \: t = 7.5 \times 1000 = 7500 \: kg$

5 0

3 years ago

Read 2 more answers

Supposed charity received a donation of $23.9 million. If this represents 54% of the charity donated funds what is the total amo

Tanzania [10]

Total amount of funds is $44.26 million.

Step-by-step explanation:

Given,

Donation received = $23.9 million

As it represents 54% of charity.

Let,

Total amount = x

Therefore,

54% of x = 23.9 million

$\frac{54}{100}*x=23.9\\0.54x=23.9$

Dividing both sides by 0.54

$\frac{0.54x}{0.54}=\frac{23.9}{0.54}\\x=\$44.26\ millions$

Total amount of funds is $44.26 million.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

8 0

3 years ago

Is this right, d 3 cubic inits

aleksandr82 [10.1K]

Volume=length×width×height
= 1 X 1 X 1 = 1
YOUR ANSWE IS C THE ANSWER IS 1 CUBIC UNIT

4 0

3 years ago