All categories

2 years ago

Which of the following are solutions to the equation below?

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

6 0

Answer:

x = (√10 -3)/2 and (-√10 -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10 -3

2x = ±√10 -3

Divide each side by 2

2x/2 = (±√10 -3)/2

x = (±√10 -3)/2

There are two solutions

x = (√10 -3)/2

and (-√10 -3)/2

You might be interested in

Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how m

Arlecino [84]

Answer:

the answer is 16 hours

Step-by-step explanation:

i just multiplied 12(the amount he gets from tutoring) and multiplied it by different numbers to see which one gets him past $190

8 0

3 years ago

Correlation coefficients fall in a scale from -1.0 to 1.0 and show how ________ the points are on the scatter plot around a ____

Shkiper50 [21]

Did they give multiple Choice

7 0

3 years ago

Why does (x-2)^2+9=0 have no real solutions?

alex41 [277]

Answer:

see explanation

Step-by-step explanation:

Given

(x - 2)² + 9 = 0 ( subtract 9 from both sides )

(x - 2)² = - 9 ( take the square root of both sides )

x - 2 = ± $\sqrt{-9}$

$\sqrt{-9}$ yields no real solutions

There is no real number when multiplied by itself gives - 9

In fact the solutions to $\sqrt{-9}$ are said to be imaginary, that is ± 3i

where i = $\sqrt{-1}$

If interested investigate further.

7 0

3 years ago

For a normal distribution what percentage of data falls within one standard deviation of the mean

3241004551 [841]

Answer:

For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean

Step-by-step explanation:

A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.

34% of data is covered in one standard deviation from mean on one side.

Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..

8 0

3 years ago

Without multiplying determine whether the product of 5 x 4/5 is located on the number line at point A,B or C

WARRIOR [948]

I the answer is 20/5 but you have to put it in abc

4 0

3 years ago