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geniusboy [140]
2 years ago
5

9" id="TexFormula1" title="f(x)=|3x-5|+7x\\g(x)=-2x+9\\what is \\ (f+g)(x)" alt="f(x)=|3x-5|+7x\\g(x)=-2x+9\\what is \\ (f+g)(x)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Sergio [31]2 years ago
7 0

Given:

The functions are:

f(x)=|3x-5|+7x

g(x)=-2x+9

To find:

The function (f+g)(x).

Solution:

We have,

f(x)=|3x-5|+7x

g(x)=-2x+9

We know that,

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

On substituting the values of given functions, we get

(f+g)(x)=|3x-5|+7x+(-2x+9)

(f+g)(x)=|3x-5|+7x-2x+9

(f+g)(x)=|3x-5|+5x+9

Therefore, the required function is (f+g)(x)=|3x-5|+5x+9.

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Matt is cutting quilt squares measuring 3 inches on each side. He wants to use them to make a rectangular wall hanging measuring
Andrei [34K]

Answer:

Matt will need 10176  square quilts to cover the wall

Step-by-step explanation:

To answer this perfectly, we will have to first convert everything to the same unit.

dimensions of the quilt squares = 3 inches

Length of the wall = 1 yard = 36 inches

Breadth of the wall = 212 feet = 2544 inches.

The next step, is to find the area of the wall that Matt is covering.

Area of wall = length X breadth = 36 X 2544 = 91584in ^{2}

We will also find the area of the square quilts. This is given as length X length = 3^{2}=9 in^{2}

to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts

= 91584 /9 = 10176 quilts

Matt will need 10176 quilts to cover the wall

5 0
3 years ago
Hi bro sorry to bother you but I have a question it is ok . Ok then so 875x975=
mel-nik [20]

Answer:

853,125

Step-by-step explanation:

Umhhh u can use a calculator… or write it down and slowly break down solve it like that.

Hope this helps, good luck! ;)

4 0
3 years ago
Read 2 more answers
To solve a system of inequalities, you just need to graph each inequality and see wich points are in the overlap of the graphs.
GrogVix [38]
<h3>Answer: True</h3>

This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.

Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.

3 0
2 years ago
The sales of a particular brand of children’s athletic shoes rose from $6,900,000 to $7,400,000. Find the percent of increase in
Sidana [21]

Answer:  7.2%

Step-by-step explanation:

First find the difference between the amounts.

7,400, 000 - 6, 900,000 = 500, 000  

Now divide the obtain number by  the original number which is 6,900,000

500, 000/ 6,900,000 = 0.07246  

Multiply 0.07246 by 100 to convert it to a percent.

0.07246  = 7.2463..%  

Round it to the nearest tenth of a percent.

7.2463.. rounded to the nearest tenth is 7.2%

8 0
2 years ago
Sue has baked 3 different types of circular cake, all measuring 8 inches across. There are equal numbers of coffee cakes and lem
GarryVolchara [31]
1) suppose for purposes of calculation that the cake is inscribed in a square of 8 by 8
the area of 1 cake=8*8=64 in²
the rectangular table area=576 in²-----> I assume square table 24 in x 24 in
576/64= 9----------- > Sue has baked 9 cakes
if just 1 carrot cake
then
(9-1)=8 ---------->  coffee cakes and lemon cakes
we know that equal numbers of coffee cakes and lemon cakes
therefore
coffee cakes=8/2=4
lemon cakes=4
carrot cake=1

the answer part 1) is
the dimensions of the table are 24 in x 24 in

the answer part 2) is
Sue has baked 9 cakes
coffee cakes=4
lemon cakes=4
carrot cake=1

part 3) distribution of the cakes in the table 24  in x 24 in

answer

let
Z------->carrot cake
C------->coffee cakes
L------->lemon cakes

Z-C-L    or      C-L-C             
C-L-C             Z-C-L
L-C-L              C-L-C
   

4 0
2 years ago
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