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Dominik [7]
2 years ago
6

Tìm giá trị lớn nhất giá trị nhỏ nhất Cos(x+π/3)+ cos(x-π/3)

Mathematics
1 answer:
Elina [12.6K]2 years ago
6 0

Answer:

GTLN : 1  GTNN: -1

Step-by-step explanation:

Ta có:

y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\  = 2.cosx.cos\frac{\pi }{3}  \\  = cosx

mà -1\leq cosx \leq 1

Nên Max y=1  , x ∈ R

       Min y = -1, x ∈ R

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Wirte a decimal for each of the following 9x100+2x10+3x0.1+7x0.001
borishaifa [10]

We need to perform multiplication and addition property for this problem to represent the final result in decimal form. So, the expression is,

9x100+2x10+3x0.1+7x0.001 .

Now 9 x 100= 900

2 x= 10= 20

3x0.1= 0.3

7x 0.001=0.007

Now we can all the numbers. Hence,

900+20+0.3+0.007=920.307

So, the decimal number is 930.307.

4 0
2 years ago
What equation represents y=2x^2+24x+85 in vertex form
Andrej [43]
Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13
8 0
3 years ago
Evaluate the expression:–|20| + |5|
Svetradugi [14.3K]
-|20| + |5| = -15

Steps:
Apply absolute rule: |a| = a, a >/ 0
|20| = 20
= -20+5
Apply absolute rule: |a| = a, a >/ 0
|5| = 5
= -20+5
Refine 
= -15

Hope this helps you! (:
-Hamilton1757
3 0
3 years ago
75 months is how many years
lakkis [162]

Answer:

75 months is 6.25001 calendar years.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What are the factors of 2x^2 + 5x -12?
Andrews [41]

Answer:

(2x - 3) • (x + 4)

Step-by-step explanation:

Step  1  :

Equation at  step  1  :

 (2x2 +  5x) -  12

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+5x-12  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -12  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -12 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   5 .

-24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  8  

                    2x2 - 3x + 8x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x-3)

             Add up the last 2 terms, pulling out common factors :

                   4 • (2x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (2x-3)

            Which is the desired factorization

3 0
3 years ago
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