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NeX [460]
3 years ago
13

Find inverse of f(x)=(x+4)^2

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

f⁻¹(x) = -4 + √x

emmasim [6.3K]3 years ago
4 0

Answer:

f⁻¹(x) = -4 + √x

Step-by-step explanation:

Switch the positions of x and y then solve for x.

f(x)=(x+4)^2\\x=(y+4)^2\\\sqrt{x} =y+4\\\sqrt{x} -4=y

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The sum of two consecutive multiples of 9 is 63 .Find these multiples​
san4es73 [151]

Step-by-step explanation:

divide 63 from 9

=the answer is 7

7 0
3 years ago
In an article about the cost of health care, USA Today reported that a visit to a hospital emergency room has a mean cost of $14
Misha Larkins [42]

Answer: 0.8461

Step-by-step explanation:

Given : \mu=144\ \ ; \sigma=392

Let x be the random variable that represents the cost for the hospital emergency room visit.

We assume that cost for the hospital emergency room visit is normally distributed .

z-score for x=1000 ,

z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]

Using z-value table , we have

P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642

=0.8461358≈0.8461  [Rounded nearest 4 decimal places]

Hence, the probability that the cost will be more than $1000 = 0.8461

3 0
3 years ago
Find the pattern and use it to list the nth term in the sequence. <br> 1, 1/32,1/243,1/1024,1/3125
Yuki888 [10]
1;\ \frac{1}{32};\ \frac{1}{243};\ \frac{1}{1024};\ \frac{1}{3125}\\\\1=\frac{1}{1^5}\\\\\frac{1}{32}=\frac{1}{2^5}\\\\\frac{1}{243}=\frac{1}{3^5}\\\\\frac{1}{1024}=\frac{1}{4^5}\\\\\frac{1}{3125}=\frac{1}{5^5}\\\vdots\\\\a_n=\frac{1}{n^5}\ where\ n\in\mathbb{N^+}
5 0
4 years ago
Select the correct answer. A linear function on a coordinate plane. A line passing through (1, 4), (minus 2, minus 2), intersect
Mumz [18]

Considering the given linear function, the inequality graphed is:

B. y \geq 2x + 2.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line intersects the y-axis at 2 units, hence the y-intercept is b = 2. The function also passes through (1,4), hence the slope is:

m = (4 - 2)/(2 - 1) = 2.

Thus the equation of the line is:

y = 2x + 2.

The left-side of the line is the values above the line, hence the inequality is:

B. y \geq 2x + 2.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
Every minute, 2.2gallons of water flows from a shower. A family of 5 people showers for an average of 9 minutes per person every
satela [25.4K]

Answer:

the whole family uses a total of 99 gallons in 1 morning

Step-by-step explanation:


7 0
4 years ago
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