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mario62 [17]
2 years ago
5

PLEASE HELP WILL MARK BRAINLIEST (sketch the graph of each function)

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
6 0

The answer is in the enclosed diagram

You might be interested in
F(x)= (x+2)^2 -1<br> Find x intercept <br> Find y intercept<br> Find vertex
Trava [24]
The x intercept occurs when y = 0.

0=(x+2)^2 - 1
1=(x+2)^2

Take the square root of both sides. Note that the sqrt of 1 is 1. Then solve for x.

1=x+2
-1=x

The x intercept is -1.

The y intercept occurs when x=0.

y=(0+2)^2 - 1
y=2^2 -1
y=4-1
y=3

The y intercept is 3.

Now, to find the vertex...

This parabola is currently in a format called the vertex form, which is:

f(x) = (x-h)^2 + k

where (h, k) is the vertex.

Therefore, the vertex is (-2, -1).
6 0
3 years ago
2. Yahir was going up the stairs when he noticed that the first step was taller, so he measured
goblinko [34]

Answer:

6.5

Step-by-step explanation:

This answer makes sense because i subtracted the 8 inches from the total 60 then i used the number i got in the result (52)then i divided 52 by 8 wich are the rest of the steps. getting 6.5

3 0
3 years ago
What is the domain of <br> F(x)=√x ?<br><br> (PLEASE HELP ASAP)
leva [86]

Option C. all real numbers greater than 0 is the correct answer

Further explanation:

Domain is the set of all inputs on which the function is defined or real.

The given function is:

f(x)=\sqrt{x}

As the function involves a square root, we have to avoid negative numbers.

  • All positive real numbers will produce defined output so the positive real numbers will be included in the domain.
  • If we look at negative real numbers, we will be taking square root of a negative number which will not result in a real number

So the domain will only include positive real numbers.

Hence, Option C. all real numbers greater than 0 is the correct answer.

Keywords: Domain, Domain of radical functions

Learn more about domain at:

  • brainly.com/question/3511750
  • brainly.com/question/3852778

#LearnwithBrainly

5 0
3 years ago
The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 5
Karolina [17]

a. The probability that on a randomly selected day, the jail population

is greater than 750,000 is 20.1%

b. The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Step-by-step explanation:

The given is:

1. The average daily jail population in the United States is 706,242

2. The distribution is normal and the standard deviation is 52,145

3. We need to find the probability that on a randomly selected day,

    the jail population is greater than 750,000

4. We need to find the probability that on a randomly selected day,

    the jail population is between 600,000 and 700,000

a.

At first find z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard

   deviation

∵  x = 750,000 , μ = 706,242 and σ = 52,145

∴ z = \frac{750,000-706,242}{52,145} ≅ 0.84

Use the normal distribution table of z to find the area to the right of

the z-value

∵ The corresponding area to z-score of 0.84 is 0.79955

- But we are interested in x > 750,000, we need the area to the

  right of z-score

∴ P(x > 750,000) = 1 - 0.79955 = 0.2005

∴ P(x > 750,000) = 0.2005 × 100% = 20.1%

The probability that on a randomly selected day, the jail population is

greater than 750,000 is 20.1%

b.

We will find z-score for 600,000 < x < 700,000

∵ z = \frac{600,000-706,242}{52,145} ≅ -2.04

∵ z = \frac{700,000-706,242}{52,145} ≅ -0.12

Use the normal distribution table of z to find the area between

the two z-values

∵ The corresponding area to z-score of -2.04 is 0.02068

∵ The corresponding area to z-score of -0.12 is 0.45224

- To find P(600,000 < x < 700,000) subtract the two values above

∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316

∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%

The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0
3 years ago
The product of a binomial and a trinomial is x3+3x2-x+2x2+6x-2 Which expression is equivalent to this
solong [7]
The answer is the first one.
Explanation:
X^3 stays the same because there are no other cubed numbers in the problem
Next you combine the x^2s
The x^2s are +3x^2 and +2x^2
Since they are both positive, you add them: 3x^2 + 2x^2 = 5x^2
Next you do the x values
-x and +6x, also known as 6x - x = 5x
Lastly, you just add in the -2 and get:
X^3 + 5x^2 + 5x - 2
8 0
3 years ago
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