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hichkok12 [17]
3 years ago
12

Simplify each sum or difference. State any restrictions on the variables.

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

2(d-2)/(2d+1) or 1 - 5/(2d+1)

d can not be -½

Step-by-step explanation:

(d-3)/(2d+1) + (d-1)/(2d+1)

Lcm: 2d+1

(d-3+d-1)/(2d+1)

= (2d-4)/(2d+1)

= 2(d-2)/(2d+1)

If further simplification required:

= (2d-4)/(2d+1)

= (2d+1-5)/(2d+1)

= (2d+1)/(2d+1) - 5/(2d+1)

= 1 - 5/(2d+1)

2d+1 = 0

When d = -½

So d can not be -½ because when the denominator becomes 0, fraction becomes undefined

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Step-by-step explanation:

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(25^1/2 x^5) (4x^-6)
Sindrei [870]

Answer:

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Step-by-step explanation:

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3 years ago
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Varvara68 [4.7K]

9514 1404 393

Answer:

  4^4·6^5·7^7 = 1,639,390,814,208

Step-by-step explanation:

Taking the cube root multiplies each exponent by 1/3.

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6 0
2 years ago
Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the
Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = 0.8\times175000 = $140000

20% of 175000 is = 0.2\times175000 = $35000

Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

975.63\times12\times30=351226.80 dollars

5 0
3 years ago
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Pie

Answer:

Plot these points:(-2,-7) (-1,-5) (0,-3) (1,-1) (2,1) (3,3) (4,5)

Step-by-step explanation:

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3 years ago
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