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3 years ago

P(x)=x-3 g(x) = 2x-5 Find the following. (p ° q)(5)= and (q ° p)(5)=

Mathematics

1 answer:

deff fn [24]3 years ago

8 0

Answer:

(p∘q)(5) = 2

(q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

(p∘q)(x) = p(q(x))

(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

(p∘q)(5) = 2

(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

(q∘p)(5) = -1

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13 points pls help me quick

ValentinkaMS [17]

Answer:

Right Angles: C, F

Obtuse Angles: E, B

Acute Angles: A, D

Step-by-step explanation:

Right Angles are angles that are exactly 90 degrees.

Obtuse Angles are angles that are bigger than 90 degrees.

Acute Angles are angles that are smaller than 90 degrees.

5 0

3 years ago

Read 2 more answers

A taxi charges a flat rate of R10, and an additional cost of 30 cents per kilometer. If you have

Maslowich

Step-by-step explanation:

so, just by getting into the taxi we have to pay R10.

that leaves us 22 - 10 = R12 for the actual trip.

30 cents per kilometer.

so, how many units of 30 cents are there in R12 ? that is the number of kilometers we can go.

R12 = 1200 cent (right ?)

1200 / 30 = 120 / 3 = 40

so, we can travel 40 kilometers for that money.

8 0

3 years ago

can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'

baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

$\frac{8}{100}=0.08$ 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

$0.08(8.45)$ 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

$\frac{15}{100}=0.15$

and multiply it by the original bill.

$0.15(8.45)=1.2675$ . Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

$8.45+1.27=9.72$

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

$\frac{15}{100}=0.15$

Multiply by the new bill (because this is the one that includes tax)

$0.15(9.13)=1.3695$ Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0

3 years ago

If <img src="https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-2" id="TexFormula1" title="f(x)=x^2-2" alt="f(x)=x^2-2" align="absmiddle"

jek_recluse [69]

Answer:

$\boxed{f(6) = 34}$

Step-by-step explanation:

Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as $(f \circ g)(2)$ , we are replacing the x values in the g(x) function with 2 and simplifying the expression.

$g(2) = 3(2)$

$g(2) = 6$

Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.

$f(6) = (6)^2-2$

$f(6) = 36-2$

$f(6) = 34$

Therefore, when we compose the functions, our final answer is $\bold{f(6) = 34}$ .

4 0

3 years ago

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Store display volume of each cube shaped box is 125 cubic inches of the display has six layers of boxes how high is the display

Doss [256]

Answer:

30 inches

Step-by-step explanation:

We know that the formula for calculate the volume of a cube is:

∨=8³

Where "s" is the length of each side.

Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":

125 in³=8³

∛125 in³=8

8=5 in

We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6.

Then:

height= (5 in)(6)=30 in

8 0

3 years ago