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3 years ago

Solve the problem ( Show your work ) 2x + 10 =- 4x – 9

Mathematics

1 answer:

Vsevolod [243]3 years ago

4 0

Answer:

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

Add 4x on both sides: 6x + 10 = -9
Subtract 10 on both sides: 6x = -19
Divide 6 on both sides: x = -19/6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 2(-19/6) + 10 = -4(-19/6) - 9
Multiply: -19/3 + 10 = 38/3 - 9
Add/Subtract: 11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

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Write the equations for all vertical horizontal asymptotes. Vertical asymptote(s):Horizontal asymptote(s):Find all x-intercepts

NISA [10]

We have the next graph

And we must find:

1. Vertical asymptote(s):

We can see that there is a vertical asymptote when x = 2.

So, the vertical asymptote is

$x=2$

2. Horizontal asymptote(s):

We can see that there is a horizontal asymptote y = -1

So, the horizontal aymptote is

$y=-1$

3. x-intercept(s) and y-intercept(s):

We can see the graph intercepts the x-axis when x = -6

So, the x-intercept is (-6, 0)

We can see the graph intercepts the y-axis when y = 3

So, the y-intercept is (0, 3)

4. Domain nd Range:

Domain: The domain is the set of numbers that we can take in x-axis for the function.

Since we have a vertical asymptote that is x = 2 and we don´t have any more vertical asymptote the domain will be all real numbers except the value of the asymptote. So, the domain is

$\text{domain}\colon(-\infty,2)\cup(2,\infty)$

Range: The range is the set of numbers that the function takes in the y-axis.

Since we have only one horizontal asymptote the range will be all reals numbers except the value of the horizontal asymptote. So, the range is

$\text{range}\colon(-\infty,-1)\cup(-1,\infty)$

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1 year ago

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Answer:

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Step-by-step explanation:

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Robin earned $4,320 in 9 weeks. How much did he earn working for a full year? (Assume Robin worked 50 weeks during the year.)

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3 years ago

Read 2 more answers

For employees at a large company, the mean number of overtime hours worked each week is 9.2 hours with a population standard dev

topjm [15]

Answer:

$z=\frac{9.3-9.2}{\frac{1.6}{\sqrt{49}}}= 0.4375$

And we can use the normal table and the complement rule we got:

$P(z>0.4375)= 1-P(z$

Step-by-step explanation:

For this case we have the following parameters given:

$\mu = 9.2 , \sigma =1.6$

We select a ample size of n=49. And we want to find this probability:

$P(\bar X> 9.3)$

And for this case is a right tail probability and we can use the z score formula given by:

$z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z=\frac{9.3-9.2}{\frac{1.6}{\sqrt{49}}}= 0.4375$

And we can use the normal table and the complement rule we got:

$P(z>0.4375)= 1-P(z$

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3 years ago