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ale4655 [162]
3 years ago
8

Graph the function y= 2.2 - |0.4x + 1|. what are the coordinates, to the nearest tenth, of the maximum of the graph.

Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

B

Step-by-step explanation:

no explanation.......

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For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Flauer [41]

 

\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\

.

\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276

.

\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}    

 

 

8 0
3 years ago
Will it cost more to rent from Company A or Company B if "Ali" rents the bounce house for 3 hours? 5 hours? 10 hours?
a_sh-v [17]

Answer:

3 HOURS : company A costs more

5 HOURS : Cost is the same

10 HOURS : Company B costs more

Step-by-step explanation:

Company A :

Rental fee = $100

Hourly rate = $20

Company B:

Hourly rate = $40

Cost of renting a bounce house from each company for h hours ;

Company A:

Total cost = 100 + 20h

Company B:

Total cost = 40h

If h = 3

Company A:

100 + 20(3) = $160

Company B:

40(3) = $120

FOR h = 5;

Company A:

100 + 20(5) = $200

Company B:

40(5) = $200

FOR h = 10;

Company A:

100 + 20(10) = $300

Company B:

40(10) = $400

3 0
3 years ago
Find the area of the trapezoid.
irga5000 [103]

Answer:

The area of this trapezoid is 28 square meters

Step-by-step explanation:

A=a+b /2 h

7 0
3 years ago
Please I need some help!
Schach [20]

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Step-by-step explanation:

Given

f(x) =6x-2\\g(x)=2x+4

we have to find

<u>a. (f+g)(x)</u>

(f+g)(x)=f(x)+g(x)\\=(6x-2)+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2

<u>b. (f-g)(x)</u>

(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6

Hence,

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Keywords: Functions, Operations on Functions

Learn more about functions at:

  • brainly.com/question/4021035
  • brainly.com/question/4034547

#LearnwithBrainly

7 0
3 years ago
What is the answer?​
Mrrafil [7]

Answer:

53°

Step-by-step explanation:

The angle that measures 143 is vertical to the right angle and the ? angle.

Vertical angles have the same measure. <? + <90 = <143

So do 143 - 90 = 53

So the ? angle = 53

Hope this helps ya!!

6 0
3 years ago
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