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3 years ago

How many solutions does this system have 2x + y = -1 -4x - 2y = -5

Mathematics

1 answer:

postnew [5]3 years ago

6 0

5. There’s your answer buddy

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A penny is 1.9 cm wide. What is the circumference of a penny? Approximate using Pi = 3.14 and round the answer to the nearest te

Goshia [24]

Answer:

C: 6.0

Step-by-step explanation:

3 0

3 years ago

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What is the value of -32+(-4+7)(2)?<br> -28<br> -3<br> 3<br> 15

I am Lyosha [343]

Answer:

-26

Step-by-step explanation:

-32+3×2
-32+6
-26

By using BODMAS, any of the answers given is correct!

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3 years ago

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Find the 2th term of the expansion of (a-b)^4.

vladimir1956 [14]

The second term of the expansion is $-4a^3b$ .

Solution:

Given expression:

$(a-b)^4$

To find the second term of the expansion.

$(a-b)^4$

Using Binomial theorem,

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here, a = a and b = –b

$$(a-b)^4=\sum_{i=0}^{4}\left(\begin{array}{l}4 \\i\end{array}\right) a^{(4-i)}(-b)^{i}$

Substitute i = 0, we get

$$\frac{4 !}{0 !(4-0) !} a^{4}(-b)^{0}=1 \cdot \frac{4 !}{0 !(4-0) !} a^{4}=a^4$

Substitute i = 1, we get

$$\frac{4 !}{1 !(4-1) !} a^{3}(-b)^{1}=\frac{4 !}{3!} a^{3}(-b)=-4 a^{3} b$

Substitute i = 2, we get

$$\frac{4 !}{2 !(4-2) !} a^{2}(-b)^{2}=\frac{12}{2 !} a^{2}(-b)^{2}=6 a^{2} b^{2}$

Substitute i = 3, we get

$$\frac{4 !}{3 !(4-3) !} a^{1}(-b)^{3}=\frac{4}{1 !} a(-b)^{3}=-4 a b^{3}$

Substitute i = 4, we get

$$\frac{4 !}{4 !(4-4) !} a^{0}(-b)^{4}=1 \cdot \frac{(-b)^{4}}{(4-4) !}=b^{4}$

Therefore,

$$(a-b)^4=\sum_{i=0}^{4}\left(\begin{array}{l}4 \\i\end{array}\right) a^{(4-i)}(-b)^{i}$

$=\frac{4 !}{0 !(4-0) !} a^{4}(-b)^{0}+\frac{4 !}{1 !(4-1) !} a^{3}(-b)^{1}+\frac{4 !}{2 !(4-2) !} a^{2}(-b)^{2}+\frac{4 !}{3 !(4-3) !} a^{1}(-b)^{3}+\frac{4 !}{4 !(4-4) !} a^{0}(-b)^{4}$ $=a^{4}-4 a^{3} b+6 a^{2} b^{2}-4 a b^{3}+b^{4}$

Hence the second term of the expansion is $-4a^3b$ .

3 0

3 years ago

What fraction is equal to 90/4

Ne4ueva [31]

45/2 can't be simplified.

5 0

3 years ago

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PLEASE HELP DUE SOON

vaieri [72.5K]

Answer:

I got 7%

Step-by-step explanation:

110 x .15 = 16.5

110-16.5=93.5

93.5 x .10 = 9.35

93.5 + 9.35= $102.82

Thats the discount price

110 - 102.82 + 7.18

7.18/102 = .0698

.0698 x 100 = 6.98

I have this on my middle school test and it's my first time doing it so yea. I hope it helps even if it's already too late.

I had to edit it beforee

7 0

3 years ago