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DaniilM [7]
1 year ago
15

What is the solution to the equation below? √x+3 = x-3

Mathematics
1 answer:
Greeley [361]1 year ago
3 0

Answer:

B) x = 6

Step-by-step explanation:

first, square both sides: x + 3 = x^2 - 6x + 9 (using the (a+b)^2 identity)

second, move the x + 3 to the right side to get a quadratic that equals 0: x^2 - 7x + 6 = 0

solve & factor the quadratic: (x - 6) (x - 1), so the solutions are x = 6 and x = 1

x = 1 isn't an answer, so the answer is b) x = 6

hope this helps! <3

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chris wants to put up a fence around his sqaure garden the garden measures 3 feet on each side .how much fencing matirial does h
RoseWind [281]

3 x 4 = 12 feet of fencing

6 0
3 years ago
Which answer choice correctly solves the division problem
Orlov [11]

Answer:

The answer is D.

\frac{938}{12}  =  \frac{469}{6}  \\  = 78 \frac{1}{6}

3 0
2 years ago
Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What
crimeas [40]

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

To learn more about normal distribution, click here:

brainly.com/question/4079902

#SPJ4

5 0
1 year ago
A jar contains 18 jelly beans: 7 purple jelly beans, 3 green jelly beans, and 8 orange jelly beans. Without looking. Travis pick
aksik [14]

Answer:

1/6, 7/18, 4/9, 5/6, 5/9, 5/9

Step-by-step explanation:

7 0
1 year ago
The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container
pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

V=\frac{3}{4}(r^{3}\pi)

Where r is the radius.

2. The diameter is:

D=2r

3. So, you must solve for the radius in the first equation:

r=\sqrt[3]{\frac{4V}{3\pi}} 

r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft

4. Then, the diameter is:

D=2(6.94ft)\\D=13.88ft


8 0
3 years ago
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