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Yuliya22 [10]
3 years ago
10

2/7(x+4)=-6. What is the value of x

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0

2/7 as decimal is 0.28

2/7(x+4)=-6

2/7x+ 1 1/4= -6

-6 - 1 1/4 = -7.25

0.28x = -7.25

x = -25.89




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<img src="https://tex.z-dn.net/?f=%284%20%2B%206i%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(4 + 6i) {}^{2} " alt="(4 +
34kurt

Answer:

36i^{2}+48i+16

Step-by-step explanation:

(4+6i)^{2} is essentially (4+6i)(4+6i) (you are squaring (4+6i), so multiplying it by itself), so to simplify, you would need to distribute.

A good way to go about this is using the F.O.I.L. method, multiplying the First numbers in the parentheses, then the Outers, then Inners, and finally, Lasts.

(4+6i)(4+6i) >> (4+6i)(4+6i) >> (4+6i)(4+6i) >> (4+6i)(4+6i)

((4*4)+(4*6i)+(6i*4)(6i*6i))

After doing so, you would end up with 16+24i+24i+36i^{2}, and after combining like terms, 16+48i+36i^{2}.

To write the expression in standard form, though, just order the terms from highest to lowest power!

5 0
3 years ago
Ben bought 4 pairs of jeans and a T-shirt that cost $8 .He had a coupon for $3 off the prices of jeans spent a total of $92 befo
Artist 52 [7]

each pair of jeans was 20.25 dollars sorry if i'm wrong  

8 0
3 years ago
Help please!!!!! :) its kind of hard for me..
adoni [48]
It would have to be 5/8.

5 0
3 years ago
Read 2 more answers
ALGEBRAIC EXPRESSION Jeremy had $103 but he is spending $10 per week
Pie
103 ÷ 10 = x
x = how many weeks until all his money is gone? (besides the $3 at the end)
5 0
3 years ago
A rectangular piece of cardboard is 15 inches longer than it is wide. A 5-inch square is cut from each corner, and the remaining
HACTEHA [7]
Let x be the width of the cardboard, then the length is x+15. If 5 unches square is cut from each corner, then the new length is x+15-5·2=x+5 and the new width is x-5·2=x-10. The height of the formed box is 5 in. Now you can find the box volume:

V=\text{ width }\cdot \text{ length }\cdot \text{ height },\\ V=(x-10)\cdot (x+5)\cdot 5,\\ V=5(x^2-5x-50).


If the volume of the box is 1,250 cubic inches, then


5(x^2-5x-50)=1250,\\ x^2-5x-50=250,\\ x^2-5x-300=0,\\ D=(-5)^2-4\cdot (-300)=25+1200=1225,\\  \sqrt{D} =35,\\ x_{1,2}=\dfrac{5\pm 35}{2} =20,-15.


The length of the box is x+5=20+5=25 in. (the negative x is extra, because the length couldn't be negative).


Answer: the length of the box is 25 inches.

7 0
3 years ago
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