Evaluate g(-3)Determine the coordinates of the point given by the answer aboveEvaluate g(2a)Step By Step Explanation Please

Recall that:

1) f(x) is an even function if:

2) f(x) is an odd function if:

Now, notice that:

Therefore f(x)=3^x is neither an even function nor an odd function.

Answer: Neither an even function nor an odd function.

Let x be the velocity (rate of change ) of one of the buses. We know that the other one travels 16 km/h slower; this means that the second velocity is:

Now the combined velocity would be:

We know that the distance is equal to time by velocity, then we have that:

Solving for x we have:

Therefore the rate of the faster bus is 138 km/h and the rate for the slower bus is 122 km/h.

ANSWER:

STEP-BY-STEP EXPLANATION:

We can calculate the value of the slope using the following formula:

we replace each value and we will be left with the following:

The given inequality is expressed as

We would add 10 to both sides of the inequality. It becomes

We would divide both sides by - 3. This would cause the inequality symbol to reverse. It becomes

The graph would be

The shaded circle at the position of - 2 indicates that- 2 is inclusive

To answer this question, we need to transform each of the values into the corresponding other units:

• Inches ---> Feet

• Week ---> minutes

And we also have here a ratio:

• Inches/week ---> Feet/minute.

Then we can proceed as follows:

We know that the conversion between inches and feet is:

Then

If we have 9,400 inches, then:

We know that:

In one day we have 24 hours, then:

Then we have 1440 minutes in a day. A week has 7 days. Therefore, we will have:

Therefore, we have that there are 10,080 minutes in one week.

Now, to find the ratio of feet per minute, we need to divide:

In summary, we can say that the object moves:

into the

In the elimination method, we need to eliminate one of the variables using addition or subtraction.

In this case, if we add both equations, we have that:

Since we obtained a FALSE result, we can say that this system of linear equations has NO SOLUTIONS.

In summary, using the elimination method, we add both equations. The result for that was a false r

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Explanation:

Recall that

i = sqrt(-1)

Squaring both sides gets us

i^2 = -1

Now let's multiply both sides by i

i*i^2 = i*(-1)

i^3 = -i

Repeat the last step

i^3 = -i

i*i^3 = i*(-i)

i^4 = -i^2

i^4 = -(-1)

i^4 = 1

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Here's a summary so far

The pattern repeats every 4 items. This means we'll divide the exponent by 4 and look at the remainder.

20/4 = 5 remainder 0

Therefore i^20 = i^0 = 1

Or we can think of it like this

i^20 = (i^4)^5 = 1^5 = 1

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This means we can then say

i^3 + i^20 = -i + 1 = 1 - i

The volume of a right rectangular prism is given by

From the given information, we know that

So, the volume is given by

which gives

Now, since the content weigh 0.18 pound per cubic foot and worth $7.18 per pound, the value of the container is given by,

Therefore, by rounding to the nearest cent, the answer is:

Answer:

The parent function of the graph is given below as

The parent function has undergone transformation

Hence,

Using a graphing calculator, we will have the graph be

Hence,

The final answer is

The FIRST OPTION is the right answer

Answer:

-$0.05

Explanation:

The expected value can be calculated as the sum of each possible prize multiplied by its probability. You will buy a ticket for $1 and there is a probability of 1/1000 to win the $500, a probability of 1/1000 to win $300, and a probability of 1/1000 to win $150, then the expected alue is

Therefore, the expected value is -$0.05.

SOLUTION

Step 1: Make a more comprehensive sketch of the question.

The measure of CFE is 81 degrees.

hello

to solve this question, we need to know how many grains is in 1 gram

now let 300 grains be equal to x grams

300 grains will weigh 19.44g

ANSWER

EXPLANATION

We want to solve the given equation for w:

To do this, we have to factorize the equation and simplify it.

Let us do that now:

That is the answer.

By using some exponent properties, we will see that the expression can be written as:

a^6

Here we need to use some exponent properties, these are:

Here we have the expression:

(a^(-1)*a^(-2))^(-2)

Using the third property we can write:

(a^(-1)*a^(-2))^(-2) = (a^(-1 - 2))^(-2) = (a^(-3))^(-2)

Now we use the first property:

(a^(-3))^(-2) = a^(-3*-2) = a^6

That is the expression simplified.

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→ r represents the original cost of the repair.

→ 0.07r represents the tax.

→ (r – 20) represents the discount

Given,

The total cost to repair the watch can be represented by 0.07r + (r – 20), where r represents the original cost of the repair.

Explain what each part of the expression represents in the context of the problem.

Now, According to the question:

Given the following algebraic expression:

0.07r + (r – 20)

In the context of fixing David’s broken watch, the variable r represents the original cost of the repair while 0.07r most likely represents the amount of money charged as tax. Lastly the expression (r – 20) represents the discount on fixing David’s broken watch.

What each part of the expression represents in the context of the problem include the following:

→ r represents the original cost of the repair.

→ 0.07r represents the tax.

→ (r – 20) represents the discount

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1) Problems like these, we can solve by writing an equation.

2)Since that tomato plant grew 150% after three weeks we can write the following

Note that in the parentheses we have the factor of growth. Since it's 150% we can add to 1 and write 1 +1.5=2.5

3) Thus, the answer is:

Let

x ----> amount deposited at 4.5%

y ----> amount deposited at 5%

we have that

y=2x----> equation A

4.5%=0.045

5%=0.05

so

0.045x+0.05y=1,595 ----> equation B

solve the system

substitute equation A in equation B

0.045(x)+0.05(2x)=1,595

solve for x

0.045x+0.10x=1,595

0.145x=1,595

x=11,000

Find y

y=2(11,000)=22,000

Since the graph gives us the relative frequency we just have to add those who are more or equal to 16; in this case we have to add 0.11 and 0.06, therefore the proportion in this case is 0.17

To find the average rate of change, we use the following formula

Where a = 1998, f(a) = 856, b = 2001, and f(b) = 1591.

We use the same formula between 2002 and 2006, where a = 2002, f(a) = 1483, b = 2006, and f(b) = 745.

Here,point can be written as:

The formula for the distance between the points as follows;

Thus, the distance between the point is 12.53.

Answer;

Explanation;

Firstly, we need a diagrammatic representation to get what is described in the question.

We have this as follows;

Now, from what we have here, the total angle swept by the pendulum moving from left to right is 28 degrees

To get the area, we simply need to find the area of the sector formed by the by pendulum

Mathematically, we have the area of a sector calculated as follows;

theta is the angle made by the pendulum in one complete swing which is 28 degrees

pi is 22/7

R is the length of the pendulum which is 14 cm

Substituting these values in the formula above, we have it that;

Consider that the intercept form of equation of a line whose x-intercept is (a,0) and y-intercept is (0,b), is given by,

The equation of the line is given as,

Convert this equation into intercept form,

Comparing with the standard equation,

Thus, the x-intercept and y-intercept of the equation, respectively, are,

The difference between the graph of a radical function and that of a rational function is:

A radical graph is drawn from a function that contains a root, it could be a square root, cube root, etc. Whenever you are graphing a radical function, we first need to consider the domain. Because of the square root sign, the domain and range are always restricted.

But a rational graph is drawn from the ratio of two polynomial functions where the function in the denominator is not equal to zero. A rational graph is characterized by asymptotes.

The major difference would be that a radical graph has a restricted domain due to the root, and usually without an asymptote, while a polynomial graph has a restricted domain and sometimes range which forms the asymptote (vertical, horizontal asymptote).

First, find the hourly rate by dividing the total wage of $560 by the amount of time worked, which is 40 hours:

To find the hourly rate for overtime, multiply the basic hourly rate by 1.5:

Therefore, the hourly rate for overtime is $21.

To convert 85 degrees to radians, consider:

Let

Then

11 +3 + r

11+3 = 14

So 14 + 22 is 36

Ans:36

Hope this helps!

Firstly, we want to calculate the growth rate of the population

While birth would increase the population, death and migration will decrease the population

So when we subtract the migration rate and the death rate from the birth rate, we can get the population growth rate;

Thus, we have;

The national population growth rate for a country X is 12/1000

Secondly, we are to use the rule of 70 to calculate the doubling time for the population

Mathematically;

To solve this question, we will apply the knowledge of exponents and indices

The values have the same bases (7) but different powers and they are separated by a multiplication sign.

So we can use the law:

so that

on simplifying will give

=>