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RSB [31]
3 years ago
10

F(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?

Mathematics
1 answer:
Liula [17]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

A.

h(x)=9x-13

<h2>Why?</h2>

To solve the problem, we need to perform the shown operation.

We have the functions:

f(x)=2x-1\\g(x)=7x-12

So, performing the following operation, we have:

f(x)+g(x)=h(x)

h(x)=f(x)+g(x)=(2x-1)+(7x-12)=7x+2x-1-12=9x-13

h(x)=9x-13

Hence, we have that the correct option is:

A. h(x)=9x-13

Have a nice day!

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Can someone please give me the answers?
kirza4 [7]
Find all the areas and add them together 
Base Rectangle : LxW  = 14 x 12 = 168
Bases Triangles (2)  2x (8x12)/2 = 96
2 Lateral rectangles 14x10 =140 (double) = 280

Surface Area = 168 +96 + 280 = 544

7 0
3 years ago
Todd uses 21 white tiles &amp; some black tiles to make a mosaic.The mosaic has a total area of 144 square centimeters.Each tile
icang [17]

Answer: Todd used 27 black tiles.

Step-by-step explanation:

Let x represent the number of black tiles that Todd used.

Todd uses 21 white tiles & some black tiles to make a mosaic. This means that the total number of white and black tiles that Todd used is 21 + x

Each tile has an area of 3 square centimeters. This means that the total area covered by the white tiles is

21 × 3 = 63 square centimeters

Also, the total area covered by the black tiles is

3 × x = 3x square centimeters

The mosaic has a total area of 144 square centimeters. This means that

3x + 63 = 144

3x = 144 - 63

3x = 81

x = 81/3 = 27

3 0
3 years ago
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
anyanavicka [17]

Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60

Solve for <em>q</em> :

3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)

3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>

0.4<em>q</em> = 1.6

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4 0
2 years ago
Find the area of the circle below???
olga55 [171]

Answer:

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Step-by-step explanation:

Radius of the circle= 2.8\,feet

Area of the circle= \pi \times r^2

As,

      \pi =\dfrac{22}{7} =3.14

Area of the circle is:

                 =3.14\times 2.8 \times 2.8\\\\= 3.14 \times 7.84\\\\=24.618\,feet^2

The Area of the circle is : 24.618\,feet^2

5 0
3 years ago
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Do you use the greatest common factor or the least common multiple to add two fractions? In this example what is it? 4/5+5/6 lea
Alenkinab [10]

Answer:

30 is the least common factor or lcm

Step-by-step explanation:

when adding fractions you always have to find the lcm

8 0
2 years ago
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