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Stells [14]
3 years ago
10

Solve please √x-5+7=9

Mathematics
2 answers:
Inga [223]3 years ago
7 0

For this case we must solve the given equation, for this we follow the steps below:

\sqrt {x-5} + 7 = 9

Step 1:

We subtract 7 from both sides of the equation:

\sqrt {x-5} + 7-7 = 9-7\\\sqrt {x-5} = 9-7\\\sqrt {x-5} = 2

Step 2:

We raise both sides of the equation to the square:

{(\sqrt {x-5})} ^ 2 = 2 ^ 2\\{(\sqrt {x-5})} ^ 2 = 4

By definition, we know that:{(\sqrt {x})} ^ 2 = x, so we have:

x-5 = 4

Step 3:

We add 5 to both sides of the equation:

x-5 + 5 = 4 + 5\\x = 9

Answer:

The value of x is 9.

german3 years ago
5 0
The correct answer is x=49

Step 1: move constant to the right
Step 2: subtract the numbers
Step 3: square both sides
Step 4: check the solution
Step 5: simplify the equality
Step 6: x = 49 is a solution
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Solve the following equation​
Ilya [14]

Answer:

x = 5

Step-by-step explanation:

here's the solution in attached image

7 0
2 years ago
The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.
Alecsey [184]

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

6 0
2 years ago
For bone density scores that are normally distributed with a mean of 0 and a standard deviation of​ 1, find the percentage of sc
gogolik [260]

Answer:

a) The percentage of bone density scores that are significantly high is 2.28%

b) The percentage of bone density scores that are significantly low is 2.28%

c) The percentage of bone density scores that are not significant is 95.44%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. significantly high​ (or at least 2 standard deviations above the​ mean).

This is 1 subtracted by the pvalue of Z = 2.

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% of scores are signifcantly high

b. significantly low​ (or at least 2 standard deviations below the​ mean).

pvalue of Z = -2

Z = -2 has a pvalue of 0.0228

2.28% of scores are signicantly low.

c. not significant​ (or less than 2 standard deviations away from the​ mean).

pvalue of Z = 2 subtracted by the pvalue of Z = -2.

Z = 2 has a pvalue of 0.9772

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% of the scores are not significant

7 0
3 years ago
Alana is having a party. She bought 3 rolls of streamers and 2 packages of balloons for $10.00. She realized she needed more sup
notsponge [240]
Streamers: 24 dollars Package of ballons: 6 dollars
4 0
3 years ago
Read 2 more answers
When f(x)=5x^2-2x+5, evaluate f(-3)
patriot [66]

Answer:

f(-3)=56

Step-by-step explanation:

When evaluating a specific input for a function, you just plug that input in for x.

So in this case, f(-3)=5(-3)^2-2(-3)+5

f(-3)=5(-3)^2-2(-3)+5

f(-3)=5(9)+6+5

f(-3)=45+6+5

f(-3)=56

8 0
2 years ago
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