What is the cost of six filters if eight filters cost $39.92?

F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).

const2013 [10]

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

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

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

3 0

2 years ago

While visiting friends in Brookfield, Janet bought a bike lock that was marked down 20% from an original price of $8.75. If the

Shtirlitz [24]

Answer:

7.49

Step-by-step explanation:

Well first you have to find how much the bike lock cost.

8.75 x 0.2

1.75 = how much 20% of 8.75 is

8.75-1.75

7 = the cost of the bike lock with the 20% markdown

Now you have to find the sales tax.

7 x 0.07

0.49

7 + 0.49

7.49 = total cost with all the stuff

Hopefully this was helpful. There is a shorter method too tho.

3 0

2 years ago

Ok ignore the thing that says do it the way i sowed you in class

Mamont248 [21]

The way to do this question is : difference of the two sides < x < sum of the two sides. so for 1) 4 < x< 8
2) 8 < x< 16
3) 9 < x < 13
i’m pretty sure this is right! hope it helps!

4 0

2 years ago

How many times larger is 8*10^6 than 2*10^2

bogdanovich [222]

The first step for solving this question is put both of your given expressions into one and then subtract them. This will look like the following:
8 × $10^{6}$ - 2 × 10²]
Now to make the calculation easier,, factor the expression.
(8 × $10^{4}$ - 2) × 10²
Evaluate the power inside the parenthesis.
(8 × 10000 - 2) × 10²
Evaluate the power outside the parenthesis.
(8 × 10000 - 2) × 100
Multiply the numbers inside the parenthesis.
(80000 - 2) × 100
Subtract the numbers in the parenthesis.
79998 × 100
Lastly,, multiply the numbers together to get your final answer.
7999800
This means that 8 × $10^{6}$ is 7999800 times larger than 2 × 10².
Let me know if you have any further questions.
:)

8 0

2 years ago

One ounce is approximately 28.3 grams. Write a direct variation equation that relates x ounces to y grams.

Dmitry_Shevchenko [17]

Answer:

15 oz

Step-by-step explanation:

5 0

2 years ago