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4 years ago

What is the domain of the square root function graphed below?

Mathematics

1 answer:

Nikolay [14]4 years ago

5 0

The domain of a function is the set of all values x can have.
From the graph, we see the least value of x is 3. x can be any value greater than or equal to 3.

The domain is

$x \ge 3$

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1. If the same number is added to the numerator and subtracted from the denominator of 23/12, the resulting fraction is equivale

ICE Princess25 [194]

Answer:

The number is -2

Step-by-step explanation:

step 1

Find the reciprocal of 2/3

Remember that when multiply a number by its reciprocal, the result is 1

The reciprocal of 2/3 is 3/2

step 2

Let

x-----> the number added to the numerator and denominator

$\frac{23+x}{12-x}=\frac{3}{2}$

Solve for x

$2(23+x)=3(12-x)\\46+2x=36-3x\\2x+3x=36-46\\5x=-10\\x=-2$

step 3

verify

$\frac{23+x}{12-x}$

substitute x=-2

$\frac{23-2}{12+2}$

$\frac{21}{14}$

Simplify

$\frac{3}{2}$ ----> is ok

therefore

The number is -2

8 0

3 years ago

Males have red blood cell counts with a mean of 4.719 and a standard deviation of .490, while females have red blood cell counts

iVinArrow [24]

Answer:

The female has a higher count relative to the sample of females than the male relative to the sample of males.

Explanation:

When you want to compare the means of two samples with different statistics you may use the z-score.

The z-score measures how far a value (data point) is from the mean, in terms of the standard deviation.

The z-score is calculated as:

$z-score=(x-\mu )}/\sigma$

Where:

$x=\text{value of the data}\\\\\mu =mean\\\\\sigma = \text{standard deviation}$

1. Male with a count of 5.58

$z-score=(5.58-4.719)/0.490=1.757$

2. Female with a count of 5.23

$z-score=(5.23-4.349)/0.402=2.192$

Therefor, the z-score of the female is greater than the z-score of the male.

The greater z-score means that, relative to her group, the female has a higher count than the male.

7 0

3 years ago

A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?

xeze [42]

Answer:

y = -4x + 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Find slope m

$m=\frac{-4-4}{3-1}$

$m=\frac{-8}{2}$

m = -4

y = -4x + b

Step 2: Find y-intercept b

4 = -4(1) + b

4 = -4 + b

8 = b

Step 3: Rewrite linear equation

y = -4x + 8

8 0

4 years ago

4 × (8 – 3) = (4 × 8) – ( × 3)

Zina [86]

In this problem there might be a number that you need to add before the "( x 3)" then your answer will be 20 = 32 - 12 = 20

8 0

4 years ago

Read 2 more answers

If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy

Anna71 [15]

Answer:

$1290$ calories

Step-by-step explanation:

Given: The racer moves at $13.1$ miles per hour expends energy at a rate of $645$ calories per hour.

To find: Energy in calories, required to complete a marathon race $26.2$ miles at this pace.

Solution: We have,

The racer moves at $13.1$ miles per hour.

The racer expends energy at a rate of $645$ calories per hour.

So, energy expended while moving $13.1$ miles $=645$ calories.

Now, energy expended while moving $1$ mile $=\frac{645}{13.1}$ calories.

So, energy expended while moving $26.2$ miles $=\frac{645}{13.1}\times 26.2=645\times 2=1290$ calories.

Hence, $1290$ calories of energy is required to complete a marathon race $26.2$ miles at this pace.

6 0

3 years ago