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Nadusha1986 [10]
2 years ago
13

I need help with this problem x²+4x﹣30=﹣3x

Mathematics
2 answers:
a_sh-v [17]2 years ago
7 0

Answer:

x^2 + 4x -30 = -3x\\x^2 + 4x +3x -30 = 0\\x^2 + 7x -30 = 0\\x^2 +10x -3x -30 = 0\\x(x+10) -3(x+10)\\(x-3)(x+10) = 0\\x = 3, -10

UNO [17]2 years ago
3 0
X=-10, 3

first, move -3x to the other side of the equation.
your equation should look like this
x²+4x-30+3x=0
add like terms
x²+7x-30+=0
now factor.
(x+10)(x-3)=0
solve for x
x=-10, 3
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in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.

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4 0
3 years ago
Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


6 0
3 years ago
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