1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ladessa [460]
3 years ago
12

What is the slope and y-intercept for the ghraph of y+9x=-6

Mathematics
2 answers:
noname [10]3 years ago
7 0
Y intercept:

Y=-6-9(0)
=-6

(0,-6)

I’m assuming the slope is the gradient if that’s the case then it would be -9 since
Y=mx+c
m is the gradient and in this case it’s -9
OleMash [197]3 years ago
5 0

Answer:

slope: -9  y-intercept: -6

Step-by-step explanation:

the equation y = mx + b is the equation to find the slope and y intercept where m is the slope and b is the y intercept so change your equation to get y on one side so you would subtract 9x from both sides so it would then be y = -9x -6 where -9 is the slope and -6 is the y intercept

You might be interested in
In how many different ways can a red, blue, and green marker be arranged in a tray?
grigory [225]

Answer:

6 ways.

There are one red, one blue and one green maker. So there are 3 markers they are in 3! = 3×2 = 6 ways.

Please mark brainliest! <3

7 0
3 years ago
Ashley's bill for a dinner at a restaurant was $24. She left an 18% tip. What was the amount of the tip?
guapka [62]
$48.00 dollars the answers to your, 48.00
5 0
3 years ago
Find a power series for the function, centered at c, and determine the interval of convergence. f(x) = 9 3x + 2 , c = 6
san4es73 [151]

Answer:

\frac{9}{3x + 2} = 1 - \frac{1}{3}(x - \frac{7}{3}) + \frac{1}{9}(x - \frac{7}{3})^2 - \frac{1}{27}(x - \frac{7}{3})^3 ........

The interval of convergence is:(-\frac{2}{3},\frac{16}{3})

Step-by-step explanation:

Given

f(x)= \frac{9}{3x+ 2}

c = 6

The geometric series centered at c is of the form:

\frac{a}{1 - (r - c)} = \sum\limits^{\infty}_{n=0}a(r - c)^n, |r - c| < 1.

Where:

a \to first term

r - c \to common ratio

We have to write

f(x)= \frac{9}{3x+ 2}

In the following form:

\frac{a}{1 - r}

So, we have:

f(x)= \frac{9}{3x+ 2}

Rewrite as:

f(x) = \frac{9}{3x - 18 + 18 +2}

f(x) = \frac{9}{3x - 18 + 20}

Factorize

f(x) = \frac{1}{\frac{1}{9}(3x + 2)}

Open bracket

f(x) = \frac{1}{\frac{1}{3}x + \frac{2}{9}}

Rewrite as:

f(x) = \frac{1}{1- 1 + \frac{1}{3}x + \frac{2}{9}}

Collect like terms

f(x) = \frac{1}{1 + \frac{1}{3}x + \frac{2}{9}- 1}

Take LCM

f(x) = \frac{1}{1 + \frac{1}{3}x + \frac{2-9}{9}}

f(x) = \frac{1}{1 + \frac{1}{3}x - \frac{7}{9}}

So, we have:

f(x) = \frac{1}{1 -(- \frac{1}{3}x + \frac{7}{9})}

By comparison with: \frac{a}{1 - r}

a = 1

r = -\frac{1}{3}x + \frac{7}{9}

r = -\frac{1}{3}(x - \frac{7}{3})

At c = 6, we have:

r = -\frac{1}{3}(x - \frac{7}{3}+6-6)

Take LCM

r = -\frac{1}{3}(x + \frac{-7+18}{3}+6-6)

r = -\frac{1}{3}(x + \frac{11}{3}+6-6)

So, the power series becomes:

\frac{9}{3x + 2} =  \sum\limits^{\infty}_{n=0}ar^n

Substitute 1 for a

\frac{9}{3x + 2} =  \sum\limits^{\infty}_{n=0}1*r^n

\frac{9}{3x + 2} =  \sum\limits^{\infty}_{n=0}r^n

Substitute the expression for r

\frac{9}{3x + 2} =  \sum\limits^{\infty}_{n=0}(-\frac{1}{3}(x - \frac{7}{3}))^n

Expand

\frac{9}{3x + 2} =  \sum\limits^{\infty}_{n=0}[(-\frac{1}{3})^n* (x - \frac{7}{3})^n]

Further expand:

\frac{9}{3x + 2} = 1 - \frac{1}{3}(x - \frac{7}{3}) + \frac{1}{9}(x - \frac{7}{3})^2 - \frac{1}{27}(x - \frac{7}{3})^3 ................

The power series converges when:

\frac{1}{3}|x - \frac{7}{3}| < 1

Multiply both sides by 3

|x - \frac{7}{3}|

Expand the absolute inequality

-3 < x - \frac{7}{3}

Solve for x

\frac{7}{3}  -3 < x

Take LCM

\frac{7-9}{3} < x

-\frac{2}{3} < x

The interval of convergence is:(-\frac{2}{3},\frac{16}{3})

6 0
2 years ago
Identify the solid figure below.
My name is Ann [436]

Answer:

triangular prism

Step-by-step explanation:

triangular prism is a prism in the shape of a triangle at 2 opposing faces

4 0
3 years ago
Read 2 more answers
If the mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3. Then what is the value of 'x'.​
kolezko [41]

Answer:

x = 3

Step-by-step explanation:

Given that,

The mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3.

We need to find the value of x.

We know that, Mode is the number in a data with Max frequency. x can be 3 or 7. If x = 7, mode becomes 7 and if x = 3, mode equals 3.

Hence, the value of x is equal to 3.

5 0
2 years ago
Other questions:
  • A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is –2 standard devi
    14·2 answers
  • the length of a rectngle is 8/3 times as great as its widthwhat is the width if the length of a rectangle is 24 ft.
    15·1 answer
  • - 16(x - 2)² – 25=0​
    11·1 answer
  • Please help with this
    11·1 answer
  • PLEASE PLEASE PLEASE HELP ME PLEASE
    13·2 answers
  • The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with
    13·1 answer
  • Function g is a transformation of the parent exponential function. Which statements are true about function g?
    11·2 answers
  • How do you solve the inequality of -11.3 is equal to or greater than -4.7 + 4x​
    9·1 answer
  • Please help it’s due tonight<br><br> Math
    15·1 answer
  • The scatter plot shows the association between the population of various states in the United States and the number of cellular
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!