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DIA [1.3K]
3 years ago
13

A rectangle has side lenghs X +2 and 3X -1 write an expression that represents the perimeter of the rectangle then simplify the

expression
Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer: Perimeter = 2(L + W) and

as a simplified expression is, 8x + 2

Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.

However, since we have been given the sides of the rectangle as x + 2 and 3x - 1, we shall substitute for the values of these in the expression representing the perimeter.

2(L + W) can now be written as

2( {x + 2} + {3x - 1} )

2(x + 2 + 3x - 1)

By collecting like terms, we now have

2(4x + 1)

8x + 2.

The expression can now be simplified as 8x + 2

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Suppose that 10 years ago you bought a home for $160,000, paying 10% as a down payment, and financing the rest at 9% interest fo
Goshia [24]

Answer:

Current monthly payment on their existing mortgage would be $1158.66

Step-by-step explanation:

Total cash value = $160,000

Down payment = 10% of 160,000

Down Payment = $16,000

Balance amount = 160,000 - 16,000 = $144,000

Monthly payment formula:

P=\dfrac{r(PV)}{1-(1+r)^{-n}}

where,

PV is present value of home, PV=$144,000

r is rate per period , r=\frac{9}{1200}=0.0075

n is number of period, n=30x12 = 360

P=\dfrac{0.0075\times 144000}{1-(1+0.0075)^{-360}}

P=\$ 1158.66

Monthly payment would be same for 30 years.

Thus, Current monthly payment on their existing mortgage would be $1158.66

5 0
3 years ago
(2t–3x)4 expand using binomial theorem​
STatiana [176]
639293!47,behdjdkevejskksnsbwjajMsbdhcifmensbjxocnfndoxold
5 0
3 years ago
50 points for two lucky people your welcome ;)
il63 [147K]

Answer:

tyyy how do i :))))))))

3 0
3 years ago
Read 2 more answers
I need help ASAP can someone please help me right away​​
zysi [14]

Answer:

Smallest number would be 1^o

Step-by-step explanation:

Now with this one I can see the question now and the smallest* number of degrees to tilt it would be 1 degrees.

Have a good day. :)

Hope this helps!

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8 0
3 years ago
Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
3 years ago
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