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Aleks04 [339]
2 years ago
8

Find the parity of the following if a and b have different parities. (5a - 3b)(a² + 5b) + 2

Mathematics
1 answer:
sp2606 [1]2 years ago
4 0

9514 1404 393

Answer:

  odd

Step-by-step explanation:

If 'a' and 'b' have different parity, the result has odd parity.

__

<u>Assume a=odd, b=even</u>

  (5·odd -3·even) = odd

  (odd^2 +5·even) = odd

  (odd)(odd) +2 = odd

__

<u>Assume a=even, b=odd</u>

  (5·even -3·odd) = odd

  (even^2 +5(odd)) - odd

  (odd)(odd) +2 = odd

_____

The attached verifies this with numbers.

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Help I need it now!!<br> T14= 46, and t20= 100, find t3, t7, and tn
Vinil7 [7]

Answer:

t_3 = -53\\\\\\t_7 = -17\\t_n= -80 +9n

Step-by-step explanation:

Arithmetic sequence:

       \sf \boxed{t_n=a+(n-1)d}

Here a is the first term and d is the common difference.

      t_{14}= 6    ⇒  \sf a + 13 d = 46  ------------(I)

     \sf t_{20} = 100 ⇒   a + 19d = 100 ---------(II)

Subtract equation (I) from (II)

(I1)    a + 19d = 100

(II)    a + 13d   =  46

      <u>-    -            -</u>

               6d = 54

                d = 54 ÷ 6

                 \sf \boxed{d = 9}

Substitute d = 9 in equation(I) and find 'a',

    a + 13*9= 46

     a + 117  = 46

              a = 46 - 117

              a = -71

         

\sf t_3 = -71 + 2*9

   = -71 + 18

   = -53

          \sf t_7 = -71 + 6*9

              = -71 + 54

              = -17

\sf t_n= -71 + (n-1)*9

    = -71 + 9*n - 1 *9

    = -71 + 9n - 9

    = -71 - 9 + 9n

     = - 80 + 9n

   

   

5 0
1 year ago
Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charge
patriot [66]
Company A : C = 35D + 15....C is total cost and D is number of days
company B : C = 42D + 10...C is total cost and D is number of days
================
which company charges less for renting for 6 days
company A : 
C = 35(6) + 15 = 225

company B :
C = 42(6) + 10 = 262

so company A charges less when renting for 6 days
=================
for 10 days...
company A :
C = 35(10) + 15 = 365

company B :
C = 42(10) + 10 = 430

so there would be (430 - 365) = 65 saved when using company A instead of company B
4 0
3 years ago
THERE ARE 18 RED CRAYONS
yulyashka [42]

Answer:

3:4

Step-by-step explanation:

The original ratio between the red and green crayons would be 18:24, but you would need to simplify that to reach your definite simplified answer. Doing this, you find the least common factor between 18 and 24 which is 3 for 18 and 4 for 24.

6 0
3 years ago
Read 2 more answers
Center c of the circle above has coordinates of (4, 3). what is the circumference of the circle?
Angelina_Jolie [31]
Well if it is touching the x-axis, the radius is 3 units.
C = 2 * pi * r = (2)(3.14)(3) = 18.8 or so
6 0
3 years ago
Ivania is trying to figure out how far her home is from basketball practice. If
Gre4nikov [31]

Answer:

Roughly 1.3

Step-by-step explanation:

Since we know that a quarter of the way to her basketball practice is 1/3 a mile, we just multiply 1/3 by 4 times to get our answer.

1/3 * 4 = 1.33~

8 0
3 years ago
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