A new television set was recently purchased for the common room in a Residence Hall for 486.00 including tax. If the tax rate is 8%, find the price of the television set before taxes.
(Type an integer or a decimal rounded to two decimal places.)
(Answer quickly)

f(x) = 2x + 1 and g(x) = f(x) + 3

g(x) = 2x + 1 + 3

Answer:

105 ft.

Step-by-step explanation:

5 x 12 = 60

So 5 feet is 60 inches.

60 + 3 = 63

That makes the ridge 63 inches long.

When the lion went up the ridge, it traveled 63 inches.

When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.

The lion did this 10 times.

126 x 10 = 1260

Divide 1260 by 12 to find the measurement in feet.

1260 ÷ 12 = 105

Answer:

1. 4

2.20

3.25

Step-by-step explanation:

please mark me brainliest please

Answer:

See Below.

Step-by-step explanation:

By definition, if two functions, f and g, are inverses, then:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

We are given the two functions:

[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]

Find f(g(x)) and g(f(x)):

[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]

Hence, f and g are indeed inverses of each other.

Answer:

True

Step-by-step explanation:

Answer:

it is valley

Step-by-step explanation:

it is a valley because the lower numbers in the middle suggest that it gets higher towards the outer layers which means that it goes down in the middle like a hole and a hole is like a valley. :) hope that makes sense

Answer:

1. [tex]\frac{3}{20}[/tex]                      5. [tex]\frac{3}{14}[/tex]                    9.[tex]\frac{14}{15}[/tex]

2. [tex]\frac{55}{4}[/tex]                     6.[tex]\frac{11}{10}[/tex]                    10.[tex]\frac{19}{6}[/tex]

3. [tex]\frac{7}{6}[/tex]                       7. [tex]\frac{22}{15}[/tex]                   11. [tex]\frac{47}{24}[/tex]

4.[tex]\frac{17}{12}[/tex]                       8. [tex]\frac{16}{21}[/tex]                  12. [tex]\frac{19}{42}[/tex]

hope this helps!

Answer:

Step-by-step explanation:

Do the square first 3^2  = 9

Do the multiplication next 2*3 = 6

Now do the subtraction

9 - 6 = 3

The leftmost line segment has a domain of -4 ≤ x < -1, or [-4, 1).

The central line segment has a domain of -1 ≤ x ≤ 2, or [-1, 2].

The rightmost line segment has a domain of 2 < x ≤ 5, or (2, 5].

Overall, this function has a domain of

[-4, 1) U [-1, 2] U (2, 5]

(where U means "union" in the set-theoretic notion)

But this also simplifies to the interval [-4, 5].

These correspond to the first and last choices.

Answer:

It would be 98.12 dollars

Step-by-step explanation:

Hope this helps. :D

The original price of the car stereo before any discounts or taxes was approximately $187.14.

We have,

Gina paid $131 for the car stereo after it was discounted by 30%.

Let's represent the original price of the stereo as "x" dollars.

The discounted price would be 70% (100% - 30%) of the original price:

Discounted price = 0.70 * x

Given that Gina paid $131, we can set up the equation:

0.70 * x = 131

Now, solve for "x" by dividing both sides of the expression by 0.70:

x = 131 / 0.70

x ≈ 187.14

So, the original price of the stereo before the discount was approximately $187.14.

There was also 7% sales tax on the purchase.

To find the sales tax amount, we calculate 7% of the original price:

Sales tax = 0.07 * 187.14 ≈ 13.10

Now, to find the total original cost before the sales tax, we add the original price and the sales tax:

Total original cost = Original price + Sales tax

Total original cost ≈ 187.14 + 13.10 ≈ 200.24

Therefore,

The original price of the car stereo before any discounts or taxes was approximately $187.14.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

We have to Evaluate the expression:

2x² + 2(3y - 1) - y²

Substitute x = -5 and y = 12 in expression, we get

⇛2(-5)² - 2(3×12 - 1) - 12²

⇛2(-5 × -5) - 2(36 - 1) - 12²

⇛2(25) - 2(35) - 12²

⇛50 - 70 - 12 × 12

⇛50 - 79 - 24

⇛50 - 103

⇛ - 53 Ans.

Answer:

3.16

Step-by-step explanation:

3+3/4x=5/8

First multiply everything by 8 because of the LCM

You should get 24+6x=5

Next, Move the 24 to the other side.

You should get 6x=5-24

Now calculate it and you should have 6x=-19

Dividing both sides by 6 will give you -19/6 (duh)

You can turn that into a whole number which is 3.16

9514 1404 393

Answer:

  2)  5.6

Step-by-step explanation:

The tangent relation is ...

  Tan = Opposite/Adjacent

  tan(θ) = 2.4/x = 3/7 . . . . . use the given values

  x = 2.4(7/3) . . . . . . . . . . . multiply by (7/3)x

  x = 5.6 . . . . . . . . . . . simplify

Answer:

Sand: 21 parts.

Lime : 14 parts.

Cement: 7 parts.

Step-by-step explanation:

The number of parts is 3 + 2 + 1 = 6.

So for 42 parts we need:

Sand: 3/6 * 42 = 1/2 * 42 = 21.

Lime:  2/6 * 42 = 1/3 * 42 = 14,

Cement: 1/6 * 42 = 7.

Answer:

C

Step-by-step explanation:

just put the value of f in the place of the x in g

Answer:

First is <  2nd is = 3rd is <

Step-by-step explanation:

Answer:

y=5x/7-16/7

Step-by-step explanation:

make y the subject formulae

7y=5x-16

divide by 7 both sides

y=5x/7-16/7

Answer:

38.4

Step-by-step explanation:

40%×160=64

60%×64=38.4

Ratios are used to show proportions of related quantities.

The ratio table equivalent to $10 per 15 tickets is:

[tex]\begin{array}{cc}{Amount}&{Tickets}&10&15&20&30&30&45&40&60\end{array}[/tex]

Given that:

Ratio = $10 per 15 tickets

Using proper notation, we have:

[tex]Ratio = 10:15[/tex]

To generate a ratio table, we simply multiply or divide each part of the ratio by the same unit.

For instance,

Multiply by 2

[tex]Ratio = 20:30[/tex]

Divide the original ratio by 5

[tex]Ratio = 2:3[/tex]

A possible ratio table is:

[tex]\begin{array}{cc}{Amount}&{Tickets}&10&15&20&30&30&45&40&60\end{array}[/tex]

The additive structure

From the above table, we can see that as the amount (x) increases by 10 units, the number of tickets (y) increases by 15 units.

So, the additive structure of the above table is:

[tex](x,y) \to (x_i+10,y_i + 15)[/tex]

The multiplicative structure

The multiplicative structure simply implies that the amount (x) and the number of tickets (y) be multiplied by the same unit.

So, the multiplicative structure of the above table is:

[tex](x,y) \to n(x_i,y_i)[/tex]

Read more about ratios at:

https://brainly.com/question/13419413

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

Answer:

it only has four solutions

Answer:

x = 20

y = 26

Step-by-step explanation:

40 and 2x are vertical angles, so they're equal to each other.

40 = 2x

Divide both sides by 2

x = 20

We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.

5y + 10 + 40 = 180

5y + 50 = 180

5y = 130

y = 26

Answer:

Step-by-step explanation:

First we have to match these two terms

g(x)= g(-3)

Now we just replace the -3 with the x

-3^2 - 4

9-4

5 ----> the final answer

(btw the negative turned positive because it is squared)

Answer:

The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?

80 - 10 = 70 degrees

Step-by-step explanation:

Answer:

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Step-by-step explanation:

20 + 8

4(5 + 2)

100 + 75

25(4 + 3)

49 + 28

7(7 + 4)

32 + 24

8(4 + 3)

Answer:

Ans; 8 +20 —> 4(2+5)

Ans; 75+100 —> 25(4+3)

Ans; 28+49 —> 7(4+7)

Ans; 24+32 —> 8(3+4)

I hope I helped you^_^