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professor190 [17]
3 years ago
9

5x +6y = -6

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

(-6,4)

Step-by-step explanation:

If this is the system of equations here is how:

solve for 1 vairuble in the first equation, and plug that it to the other.

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What is the difference b/w "Binomial Series" and "Binomial Theorem"? Also give formula for each.
horrorfan [7]

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

The binomial theorem states that for some a,b∈R and some k ∈Z+ ,

(a+b)k=∑n=0k(kn)ak−nbn.

The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:

(1+x)k=∑n=0∞(kn)xn .

Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.

8 0
2 years ago
Which expressions are equal to 105?
Tamiku [17]

Answer:

103 and 102

Step-by-step explanation:

u add them together

6 0
3 years ago
Write each number as a product of a decimal number between 1 and 10 and a power of 10.<br> 234,000
MrRa [10]

Answer:

2.34 * 10^5.

Step-by-step explanation:

234000 = 2.34 * 10^5

- there are 5 digits after the first number so the exponent is 5.

4 0
3 years ago
Of the 120 apartments in a building, 75 have been scheduled to receive new carpet. What fraction of the apartments have not been
Ilia_Sergeevich [38]

Hello!

To find the fraction of the apartments that have not been scheduled to receive new carpet, we need first need find the number of apartments not receiving new carpet, by subtracting the total amount of apartments, by the 75 that have been scheduled.

120 - 75 = 45 apartments

Next, we need to create a fraction. Since 45 out of 120 apartments not are scheduled to get new carpeting, the fraction of these values is 45/120. This can be reduced to 3/8.

Therefore, your final answer is 45/120, simplified to 3/8.

6 0
3 years ago
Read 2 more answers
A company is constructing an​ open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime
yawa3891 [41]

Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

b^2*h=49

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft

The value of h is then:

h=\frac{49}{4.61^2}\\h=2.31\ ft

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

7 0
3 years ago
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