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3 years ago

Write an equation in standard form that is perpendicular to x-4y=-6 and goes through (3, -6)

Mathematics

1 answer:

elena-s [515]3 years ago

6 0

Answer:

3-6

Step-by-step explanation:

because the distributive property

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If angle ZYX measures 23 degrees, then arc XY measures 45 degrees. True or False?

Over [174]

The statement "If angle ZYX measures 23 degrees, then arc XY measures 45 degrees." is considered as True. It can be computed using the major and minor arcs of a circle. I hope my answer has come to your help. God bless and have a nice day ahead!

8 0

3 years ago

Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh

gavmur [86]

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$ . f(x) is increasing for all x > –4.The correct answer is option C.

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

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

$f(x) =\dfrac{x-4}{x^2+13x+36}$

Expand the denominator

$f(x) =\dfrac{x-4}{x^2+4x +9x+36}$

Factorize the denominator

$f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}$

Factor out x + 9

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$ . f(x) is increasing for all x > –4

Read more about functions at:

brainly.com/question/1851758

#SPJ1

8 0

2 years ago

the monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $12. Find the prob

vlada-n [284]

Answer:

0.7493 or 74.93%

Step-by-step explanation:

We are given;

Population mean; μ = 100

Population standard deviation; σ = 12

Sample mean 1; x1¯ = 90

Sample mean 2; x2¯ = 120

Z-score formula of the data given is;

z = (x¯ - μ)/σ

z1 = (90 - 100)/12

z1 = -0.83

z2 = (120 - 100)/12

z2 = 1.67

Since we wan to Find the probability that a randomly selected bill is between $90 to $120.

Thus;

P(90 < x¯ < 120) = P(−0.83 < Z < 1.67)

Probability will be gotten from online probability with 2 z-scores calculator to get;

P = 0.7493

7 0

3 years ago

What are the intercepts of the line?

zmey [24]

X intercept: (-4)
y intercept: (8)

6 0

3 years ago

For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as: