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2 years ago

If f(x)=x+7 and g(x)=2x-3 what is (f-g)(x)

Mathematics

1 answer:

aalyn [17]2 years ago

4 0

Answer:

-x + 10

Step-by-step explanation:

(x + 7) - (2x-3)

x + 7 - 2x - 3

x - 2x

-x + 7 + 3

-x + 10

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What is the area of<br> this figure?

n200080 [17]

Answer:

243 cm^2 + 108 cm^2 = 351 cm^2

Step-by-step explanation:

So, we have a rectangle and two triangles, we know all the sides or angles.

Rectangle: with 9 cm lenght 15cm + 12 cm = 27 cm

Formula: A=wl -> A=9*27 = 243 cm^2

Trianlge: A=ab/2

Angle 90°

Side A 12 cm

Side B 18 cm - 9 cm = 9 cm

A=ab/2=12·9/2=54 cm times 2 (for the opposite side) = 108 cm^2 = 351 cm^2

6 0

2 years ago

There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches

Aliun [14]

<h3>Answer: 28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

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

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

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Method 3

Use the nCr combination formula with n = 8 and r = 2

$n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\$

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0

1 year ago

A carton has a length of 2 2/3, width of 1 1/3, and height of 1 1/2 feet. What is the volume of the carton?

Phantasy [73]

I hope this helps you

3 0

3 years ago

What number has 3 hundreds 4 more tens than hundreds and 1 more one than hundreds

Anettt [7]

Answer:

4400? I think that's what u meant

7 0

3 years ago

How to find the area of composite polygon that have a base of 16 meters height of 18 meters and a height of 11 meters.

LenaWriter [7]

The area of the composite polygon is:

$\boxed{A_{T}=376 \ m^2}$

<h2>Explanation:</h2><h2 />

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll choose the figure below in order to illustrate this problem. A composite polygon is a polygon that can be divided into two or more basic shapes. So here we have a composite polygon formed by a triangle and a rectangle. So:

$A_{total}=A_{T} \\ \\ A_{triangle}=A_{tr} \\ \\ A_{rectangulo}=A_{r} \\ \\ \\ A_{tr}=\frac{b\times h}{2} \\ \\ b:Base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle \\ \\ \\ A_{r}=B\times H \\ \\ B:base \ of \ the \ rectangle \\ \\ H:height \ of \ the \ rectangle$

So the area of the composite figure is:

$A_{T}=\frac{16\times 11}{2} + 16\times 18 \\ \\ A_{T}=88+288 \\ \\ \boxed{A_{T}=376 \ m^2}$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

8 0

2 years ago