a used truck for $4,500 he made an agreement with the dealer to put $1,500 and make payments of 350 for the next 10 months that
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Answer:
a) A-B = { 1 , 3, 5 }
b) The remainder is 50
c) f + g)(x) = x⁴+ 5x³
d)
Step-by-step explanation:
Step(I):-
1) a)
Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }
A - B = {1,3,5,7} - { 7,14,21}
A - B = { 1 , 3, 5}
b)
Given f (x)=3x³−11x−48
x-1 ) 3 x³ - 11x -48 (- 3x²-3x -2
-3<u>x³ +3x</u>²
3x²-11x-48
<u> -3x²+9x</u>
<u> </u> 2x -48
-2x +2
<u> </u>
50
The remainder is 50
c) Given f(x) = x³ and g(x) = x + 5
(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³
d)
Given function y = 3 + x²+x³y³ ...(I)
By using derivative formulas
y = xⁿ
Apply d/dx ( UV) = U V¹ + V U¹
Differentiating equation (I) with respective to 'x' , we get
Answer:
The measure of side MO is 8 unit
Step-by-step explanation:
Given as :
In the Triangle ΔMOP ,
∠P = 90°
∠M = 60°
The perimeter of ΔMOP = 12 + 4√3
Now, From figure , in Triangle ΔMOP
∠O = 180° - ( ∠P + ∠M )
or, ∠O = 180° - ( 90° + 60° )
or, ∠O = 180° - 150°
∴ ∠O = 30°
<u>Now, from Triangle</u>
Sin 90° =
Or, Sin 90° =
Or, = 1
Again
Sin 60° =
Or, Sin 60° =
Or, =
Similarly
Sin 30° =
Or, Sin 30° =
Or, =
So, The ratio of the sides as
PM : MO : OP = 1 : 2 :
Let PM = x
MO = 2 x
OP = x
Now, from question
The perimeter of triangle ΔMOP = 12 + 4√3
I.e, The sum of sides of triangle ΔMOP = 12 + 4√3
or, PM + MO + OP = 12 + 4√3
or, x + 2 x + x = 12 + 4√3
or, 3 x + x = 12 + 4√3
Or, x ( 3 + ) = 4 ( 3 +
)
Now, equating both side we get
x = 4
So, The measure of side MO = 2 x
I.e The measure of side MO = 2 × 4 = 8 unit
Hence The measure of side MO is 8 unit Answer
