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Rufina [12.5K]
3 years ago
12

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

Mathematics
2 answers:
Fofino [41]3 years ago
8 0

Answer:

Step-by-step explanation:

DochEvi [55]3 years ago
6 0

ANSWER

The exact solution are:

y =  \frac{ - 6  - 2 \sqrt{6} }{5} \:  \:  or \:  \: y =  \frac{ - 6  + 2 \sqrt{6} }{5}

EXPLANATION

The given quadratic equation is

{(5y + 6)}^{2}  = 24

We use the square root method to solve for y.

We take square root of both sides to get:

\sqrt{{(5y + 6)}^{2}}  =   \pm\sqrt{24}

This gives us:

5y + 6 = \pm 2 \sqrt{6}

Add -6 to both sides to get:

5y = - 6 \pm 2 \sqrt{6}

Divide through by 5:

y =  \frac{ - 6 \pm2 \sqrt{6} }{5}

y =  \frac{ - 6  - 2 \sqrt{6} }{5} \:  \:  or \:  \: y =  \frac{ - 6  + 2 \sqrt{6} }{5}

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Nastasia [14]

Answer:

  • x = 2

Step-by-step explanation:

  • 2 log₅ x = log₅ 4
  • 2 log₅ x = log₅ 2²
  • 2 log₅ x = 2 log₅ 2
  • log₅ x = log₅ 2
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7 0
3 years ago
Which graph shows the solution to the following inequality?<br>4d- 6 &lt; 18 <br>PLEASE HELP​
kenny6666 [7]

Answer:

answer a

Step-by-step explanation:

4d-6 < 18

  • Let's isolate d on one side of the equation. Ignore the inequality for now. We'll deal with that later.

4d-6=18\\4d-6+6=18+6\\4d=24\\\frac{4d}{4}=\frac{24}{4}\\ d=6

  • Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating d, but if this confuses you, just do your math and keep the inequality there.

d < 6

  • On a number line, this would include every number <em>less than </em>6, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>6. But, how do we decide between answers a and c?
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4 0
4 years ago
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If x = 12 and y = 3, what is the value of x - y 2?<br><br> 81<br> 6<br> 3<br> 18
Marianna [84]

Answer:

3

Step-by-step explanation:

x-y^2

Let x = 12 y=3

12 - (3)^2

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3

7 0
3 years ago
What is the y coordinate of the point that divides the
svet-max [94.6K]

Answer:

the y coordinate is 5

Step-by-step explanation:

In the figure attached, the  directed line segment is shown.

J is located at (-3, 1) and K is located at (-8, 11)

run: x2 -x1 = -8 - (-3) = -5

rise: y2 - y1 = 11 - 1 = 10

Taking J as reference, the coordinate of the point that divides the  directed line segment from J to k into a ratio of 2:3 is:

c = 2/(2+3) = 0.4

(x1 + c*run, y1 + c*rise)

(-3 + 0.4*-5, 1+0.4*10)

(-5, 5)

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3 years ago
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