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3 years ago

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-3, 2)

Mathematics

1 answer:

qwelly [4]3 years ago

7 0

2y = 12 - 5x
y = 6 - 5/2x

2 = -5/2(-3) + b
2 = 15/2 + b
2 - 15/2 = b
b = -11/2

y = 15/2x - 11/2

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0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776

7 0

3 years ago

You placed a 12% down payment on a new home. Given that the amount of the down payment was $42,655.12, determine the price of th

Soloha48 [4]

Answer:

355,459.33

Step-by-step explanation:

42,655.12/12 = 3554.59

3554.59*100 = 355459.33

7 0

3 years ago

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Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.

sladkih [1.3K]

The circumference of every circle is (pi) times (diameter).

The diameter is (2 x radius), so we can write

Circumference = (pi) x (2 x radius) .

The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:

(31.4 cm) = (3.14) x (2 x radius)

Divide each side by 3.14: (31.4 cm)/(3.14) = 2 x radius

Divide each side by 2 : (31.4 cm) / (2 x 3.14) = radius

5 cm = radius

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3 years ago

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Which ordered pair is a solution of the equation y-4=7(x-6) A.(5,4) B.(6,5) C.(5,4)(6,5) D.Neither

Natasha_Volkova [10]

Answer:

D. Neither

Step-by-step explanation:

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3 years ago

I have 4 factors. Three of my factors are 1, 2, and 6. What is my fourth factor?

SIZIF [17.4K]

The 4th factor would be 3. You would find this out through a factor tree. If you don't know the original number when you start you look at your numbers. A factor of 1 usually goes with the highest number, assuming that the number 6 is the highest factor, that would be the original number. As 2 is the other known factor than we know that 3 has to be the last factor, because 2 x 3 = 6. It cannot be the number 12 because then there would be 6 factors not the needed 4.

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