Given the functions, f(x) = 3x - 6 and g(x) = x2 + 5x + 7, perform the indicated operation. When applicable, state the domain restriction.

Answer:

x = 6

Step-by-step explanation:

2(4x - 3) = 3(x + 8)

1. Distribute the 2 and 3 into the parentheses.

2(4x) + 2(-3) = 3(x) + 3(8)

= 8x - 6 = 3x + 24

2. Subtract 3x from both sides.

8x - 3x - 6 = 3x - 3x + 24

= 5x - 6 = 24

3. Add 6 on both sides.

5x - 6 + 6 = 24 + 6

5x = 30

4. Divide by 5.

5x ÷ 5 = 30 ÷ 5

x = 6

Hope that helps.

Answer:

x=-5

Step-by-step explanation:

Statement          Reason

3x+1 =-14              Given

3x=-15                   Subtraction Property of Equality

x=-5                       Division Property of Equality

Answer:

m (t) = m (t-1) * 1.03; m(t) = 55,000

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Answer:

because it doesn't pass the verticle line test

Step-by-step explanation:

As the compounding frequency increases, the yield increases as well. But there's a limit to that increase.

Consider depositing $100 into an account at 5% interest. Let's consider a timespan of 1 year. These values were picked arbitrarily.

Using the formula A = P(1+r/n)^(nt), we can find the various yield amounts when n varies

The table below shows how A changes based on the values of n. I've let P = 100, r = 0.05 and t = 1.

As n gets larger, the value of A slowly approaches 105.13 when you round to the nearest penny.

So eventually the investment yield hits a ceiling of some sort.  We cannot make the investment grow forever in some fixed amount of time (in this case 1 year).

Answer:

10/(2/5)

Step-by-step explanation:

If you want to find how much of something is in another thing, you divide.

Answer:

The answer is A 10 divided by 2/5=25. I just took the test on Ed

Step-by-step explanation:

Answer: 2n-3>=-20

Step-by-step explanation: instead of the equal sign put a line under the sign <

After translating the given statement, the inequality will be 2x - 3 ≥ -20.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values.

Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

The statement for the inequality in the question,

Twice, the difference between a number and 3 is at least -20.

Let the number be x.

Twice the number is 2x.

So,

2x - 3 ≥ -20

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Answer:

0.0045 km or 4.5×10^-3 km

Step-by-step explanation:

Answer:

8.36

Step-by-step explanation:

[tex]-0.7-(-2.6+ -0.8) +7.1\\ (add inside the parenthesis)\\\\-0.7 - 3.4 + 7.1\\\\=8.36[/tex]

Answer:

B has a negative exponent: 8 x 10^-7

A doesn't: 4.267 x 10^7

Answer:

a=18

Step-by-step explanation:

The value of a or m is 18 in the linear equation, y = 5x - 2.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

The table represents a linear function.

The data is given in the attached image.

The general equation of the linear function is,

y = ax+b.

Where a is the slope and b is constant.

By using the first and the third points from the table to find the equation of the linear function,

When x = 3  and y = 13,

13 = 3a+b      {equation 1}

When x = 5 and y = 23

23 = 5a+b      {equation 2}

Solving the system of equation,

we get,  

a = 5  and b = -2

So, the equation is,

y = 5x - 2

Now, x = 4

Then y = m = 20 - 2 = 18

Therefore, the value of m is 18.

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Answer:

$16

Step-by-step explanation:

2x5=10+6=16

Answer:

So if the pizza is just 6$

and every topping is 2$ each (expensive!)

2$ x 5$ = 10$

So 6$ + 10$ = 16$

Solution: In total, the pizza (with toppings) would be 16$

Answer:

Step-by-step explanation:

(x^2 - x)(2x - 2)

2x^3 - 2x^2 - 2x^2 + 2x

2x^3 - 4x^2 + 2x

Answer:

Step-by-step explanation:

x = 4

3x^2

3(4)^2

3(16)= 48

Answer:

333

Step-by-step explanation:

Three digit posibilitys: 9

4 digit and 5 digit posibilitys: 322

The solution is, there are 9 integers are between 100 and 10000 in the records of which there are exactly three identical digits.

A number can be mentioned as a mathematical object used to count, measure, and label. We can have, The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

given that,

integers are between 100 and 10000 ,

we have to find the integers of which there are exactly three identical digits.

so, we get,

integers with exactly three identical digits are, 111, 222, 333, 444, 555, 666, 777, 888, 999.

because, after that integers are having more than 3 digits.

Hence, The solution is, there are 9 integers are between 100 and 10000 in the records of which there are exactly three identical digits.

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Answer:

x= {0, 7}

Step-by-step explanation:

Answer:

-37/24

Step-by-step explanation:

The cost of one pound beef is $3.2

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Cost 4.5 pound of beef = $14.40

So, the unit rate for beef

= 14.40 / 4.5

= $3.2

Hence, the cost of one pound beef is $3.2

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Answer:

Combine Like Terms:

= 15y + −10 + y + −8

= (15y+y) + (−10+−8)

= 16y + −18

Answer:

1. 3/5

2. 9/20

3. 1/5

4. 9/10

Step-by-step explanation:

Answer:

Let a be a rational number and b be an irrational number. b = c - a, which means that b is rational. ... Since an irrational number cannot equal a rational number.

Step-by-step explanation:

PLZ MARK BRAINLIEST

The answer is that an irrational number cannot equal a rational number.

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.

Let a be a rational number and b be an irrational number. b = c - a, which means that b is rational. Since an irrational number cannot equal a rational number.

Therefore an answer is that an irrational number cannot equal a rational number.

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Answer:

It'ssssss Trueeeeeee

Answer and Step-by-step explanation:

3 x 2 - x = ? Well, if you simplify it's just 5x. But, if you are trying to solve this then you have to know what x is or what your answer is. But, if you're trying to solve 3 x 2 = x then x would equal 6. Of course, if you know the answer or what x equals then plug it in as such, let's say x = 2 then you would plug 2 in for x and solve, 3 x 2 = 6 - 2 = 4. But, if you are trying to solve for x then look at the answer, let's say it is 24 so, 3 x 2 - x = 24, x would equal -18.

Hope this helped you out! Have a wonderful day!

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