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lana [24]
3 years ago
8

what is the domain of the function Y= square root 2x+10 explain and show work ) A. X≥5 B. Y≥5 C. X≥-5 D. Y≤-5 ​

Mathematics
2 answers:
Anna [14]3 years ago
6 0

Solution: x ≥ -5

<h2>Steps</h2>

Domain Definition: The domain of a function is the set of input or argument values for which the function is real and defined

<u>squareroot 2x + 10</u>  ⇒  <u>2x + 10 ≥ 0</u>

Solve 2x + 10 ≥ 0:

Subtract 10 from both sides

2x + 10 - 10 ≥ 0 - 10

Simplify

2x ≥ -10

Divide both sides by 2

2x / 2  ≥  -10 / 2

Simplify

2x / 2

Divide the numbers: <u>2 / 2 = 1</u>

= x

Note: x has the same value as 1

Divide the numbers: -10 / 2 = -5

= -5

The function domain is

x ≥ -5

Art [367]3 years ago
3 0

Answer:

\boxed{\text{C. }x \geq -5}}

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

The definition automatically eliminate options B and D.

Your function is

y = \sqrt{2x + 10}

The number under the radical cannot be negative, because the square root of a negative number is imaginary.

Thus, we must have

\begin{array}{rcr}2x+ 10 & \geq & 0\\2x & \geq & -10\\x & \geq & -5\\\end{array}\\\\\text{The domain is }\boxed{\mathbf{x \geq -5}}

The graph of your function shows that the range is x ≥ -5.

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6 0
3 years ago
Find the value of x, y, z in the rhombus below
galben [10]

Answers:

  • x = -28
  • y = -12
  • z = -11

===========================================================

Explanation:

Any rhombus is a parallelogram, but not the other way around.

For any parallelogram, the opposite angles are congruent.

-8y-8 = 88

-8y = 88+8

-8y = 96

y = 96/(-8)

y = -12

Also, for any parallelogram, the adjacent angles are supplementary (meaning they add to 180).

(-3x+8) + (88) = 180

-3x+96 = 180

-3x = 180-96

-3x = 84

x = 84/(-3)

x = -28

And we can also say,

88 + (-9z-7) = 180

-9z+81 = 180

-9z = 180-81

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z = 99/(-9)

z = -11

5 0
2 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of
netineya [11]

The probability that it is less than 11.9 inches long will be 0.11304.

<h3>What is the z-score?</h3>

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.

If one item is chosen at random.

Then the probability that it is less than 11.9 inches long will be

Then the z-score will be

z = (11.9 – 14.2) / 1.9

z = –1.21

Then the probability will be

P(x < 11.9) = P(z < –1.21)

P(x < 11.9) = 0.11304

More about the z-score link is given below.

brainly.com/question/15016913

#SPJ1

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Answer:

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Step-by-step explanation:

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Lera25 [3.4K]

Answer:

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Step-by-step explanation:

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