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zvonat [6]
3 years ago
12

If f(x)=2x²+5 andq(x)=x²-2 find (f-g)(x)

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

what grade is this

Step-by-step explanation:

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❊ Simplify :
Nataliya [291]
<h3>Need to Do :- </h3>
  • To simplify the given expression .

\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 }

\rule{200}4

\sf\longrightarrow \small  \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small  \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) }  \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5)  } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3}   \\\\\\\sf\longrightarrow   \small  \dfrac{1}{x-2} +\dfrac{2}{x-3}  \\\\\\\sf\longrightarrow   \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) }  \\\\\\\sf\longrightarrow   \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) }     \\\\\\\sf\longrightarrow   \underset{\blue{\sf Required \ Answer  }}{\underbrace{\boxed{\pink{\frak{  \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}

\rule{200}4

5 0
2 years ago
Read 2 more answers
Suppose you buy a CD for $1000 that earns 2.5% APR and is compounded
labwork [276]

The early withdrawal fee on this account is $6.25

Step-by-step explanation:

Suppose you buy a CD for $1000

  • It earns 2.5% APR and is compounded  quarterly
  • The CD matures in 5 years
  • Assume that if funds are withdrawn  before the CD matures, the early withdrawal fee is 3 months' interest

We need to find the early withdrawal fee on this account

∵ The annual interest is 2.5%

- Change it to decimal

∵ 2.5% = 2.5 ÷ 100 = 0.025

∴ The annual interest rate is 0.025

∵ The interest is compounded quarterly

∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625

∵ The early withdrawal fee is 3 months' interest

∵ You buy the CD for $1000

∵ A quarter year = 3 months

∴ The early withdrawal fee = 1000 × 0.00625 = $6.25

The early withdrawal fee on this account is $6.25

Learn more:

You can learn more about the interest in brainly.com/question/11149751

#LearnwithBrainly

7 0
3 years ago
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers
zhenek [66]
1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km <==
8 0
3 years ago
Read 2 more answers
Find the slope of the graph of the relation y^3 − xy = −6 at the point (7, 2).
mezya [45]
Yay, implicit differnentiation

when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx

for x, the dy/dx dissapears

ok
so differnetiate and solve for dy/dx

3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)

so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5

answer is 2/5
5 0
3 years ago
2. 90 rock CD's out of 125 CD's.
lidiya [134]

Answer:

72%

Step-by-step explanation:

90/125 is .72

out of 125 CD's there are 72% of rock CD's and 28 of unknown CD's

5 0
3 years ago
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