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3 years ago

Find inverse of y=1/2x+3

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

Answer: f⁻¹(x)=2x-6

Step-by-step explanation:

To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.

y=1/2x+3 [replace y with x and x with y]

x=1/2y+3 [subtract both sides by 3]

x-3=1/2y [multiply both sides by 2]

y=2(x-3) [distribute]

y=2x-6

Now, we know the inverse function is f⁻¹(x)=2x-6.

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Slice for 5x+c=k for x

Degger [83]

Answer:

A - x = (k-c)/5

Step-by-step explanation:

To solve this problem, we would solve for x like we would in 2x = 6 :

5x + c = k

5x = k-c (subtract c from both sides)

x = k/5 - c/5 (divide 5 on both sides)

x = (k-c)/5 (simplify)

4 0

2 years ago

Read 2 more answers

4(x+4) + 2x = 52 need answer

Phoenix [80]

Answer:

x=6

Step-by-step explanation:

3 0

3 years ago

Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27

Korvikt [17]

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

4 0

2 years ago

Please help will give brainliest

garri49 [273]

Answer:

$b = 17$

Step-by-step explanation:

For this triangle we have to

$a=18.2\\B=62\°\\C=48\°$

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

$A + 62 +48=180\\\\A=180-62-48\\\\A=70\°$

Now we use the sine theorem to find the length of b:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17$

5 0

3 years ago

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22

marin [14]

Answer: 4.27% of adults in the USA have stage 2 high blood pressure.

Step-by-step explanation:

Let x be a random variable that denotes a person with high blood pressure .

Given: Average blood pressure: $\mu=122$

Standard deviation: $\sigma=22$

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

The probability that an adult in the USA have stage 2 high blood pressure:

$P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z$

Hence, 4.27% of adults in the USA have stage 2 high blood pressure.

6 0

2 years ago