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sertanlavr [38]
3 years ago
11

What are the solutions to the quadratic equation (5y + 6)2 = 24?

Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

Answer:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

And, those are the solutions to the equation.

Fofino [41]3 years ago
4 0

Answer:

(2sqrt(6) - 6)/5, (-2sqrt(6) - 6)/5

Step-by-step explanation:

(5y + 6)² = 24

5y + 6 = +/- sqrt(24)

5y = +/- 2sqrt(6) - 6

y = (+/- 2sqrt(6) - 6)/5

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What is the recursive formula for this geometric sequence? –4, –24, –144, –864, ...
lesya [120]

the question does not present the options, but this does not interfere with the resolution

Let

a1=-4

a2=-24

a3=-144

a4=-864

a5=?


we know that

a2/a1=-24/-4----> 6-------> a2=6*a1

a3/a2=-144/-24---> 6-----> a3=6*a2

a4/a3=-864/-144---> 6----> a4=6*a3

therefore

a5=6*a4-----> a5=6*(-864)------> a5=-5184


hence 

the formula is

an=6*a(n-1)

<span>n and (n-1) are subscripts </span>

3 0
2 years ago
How to convert 7/11 to a decimal using long division
Helga [31]
The answer would be

7/11=0.6363636364
5 0
3 years ago
Solve the quadratic equation 3x²+2x-4=0
vivado [14]

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4 0
3 years ago
WILL MARK THE FIRST BRAINLY ANSWER!
ehidna [41]

Answer:

A quadrant 1

Step-by-step explanation:

hope it helps

3 0
3 years ago
The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?
Sliva [168]

Answer:

\huge{ \boxed{ \bold{g =  - 2}}}

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

m =  \frac{y_2 -y_ 1}{x_2 -x_1 }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

\frac{3}{2}  =  \frac{5 -  - 1}{2 - g}  \\  \frac{3}{2}  =  \frac{5 + 1}{2 - g }  \:  \:  \:  \:  \:  \:  \:  \frac{3}{2}  =  \frac{6}{2 - g}  \\  \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\  - 3g = 12 - 6 \\  - 3g = 6 \\  \\  \frac{ - 3g}{ - 3}  =  \frac{6}{ - 3}  \\  \\ g =  - 2

We have the final answer as

<h3>g = - 2</h3>

Hope this helps you

7 0
1 year ago
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