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BARSIC [14]
3 years ago
11

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(x + 9)?

Mathematics
2 answers:
fenix001 [56]3 years ago
6 0
When y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|
f(x) = |x+9|
if you set that equal to zero then X= -9
so shifting over to the left is the right choice I think
babymother [125]3 years ago
3 0
The answer is A) shifts right by 9 units


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Write an equation of the line through the point (5, 3) that is perpendicular to the line –3x+7y=5.
Fed [463]

Answer:

7x + 3y = 44

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides

7y = 3x + 5 ( divide all terms by 7 )

y = \frac{3}{7} x + \frac{5}{7} ← in slope- intercept form

with slope m = \frac{3}{7}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{7} } = - \frac{7}{3} , thus

y = - \frac{7}{3} x + c ← is the partial equation

To find c substitute (5, 3) into the partial equation

3 = - \frac{35}{3} + c ⇒ c = 3 + \frac{35}{3} = \frac{44}{3}

y = - \frac{7}{3} x + \frac{44}{3} ← in slope- intercept form

Multiply through by 3

3y = - 7x + 44 ( add 7x to both sides )

7x + 3y = 44 ← in standard form

6 0
3 years ago
Read 2 more answers
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which ex
mr_godi [17]
First convert 4 cms to mms  by multiplying by 10 
then divide this by  number of days in a year (365)

so R = 10*4  / 365

        =  0.109589  mm / day
4 0
3 years ago
Read 2 more answers
Help as soon as possible​
Rainbow [258]
Your answer ti this is B
3 0
2 years ago
Explain what a polynomials is and identify the different parts of a polynomial.
Wewaii [24]
Question 1 
Polynomials are expressions that include constants and variables. We can use addition, subtraction, multiplication and we can use exponents but only with positive integers. In polynomials, you cannot use division by a variable. This means that you can't have terms like:
\frac{a}{x^n}
Where a is constant, x is a variable and n is a positive integer.
Here is an example of a polynomial:
5x^3+3x^2+\frac{x}{2}+9
x would be is a variable, please keep in mind that you can have polynomials with more than one variable. Numbers before variables are called constants.
Here are some example of constants:
2;2/3;\pi;\sqrt(2)
And we also have exponents. Exponents are numbers written in the upper-right corner of a variable. These must be positive integers.
Question 2
We can name polynomials based on their degree and number of terms.
A degree is largest exponent. Examples:
x^3+2x+3; degree=3\\ x^2+2; degree=2\\ 21;degree=0
You can have polynomial without variable.
Here is a chart showing you special names for polynomials based on their degree:
0\ constant\\ 1 \ linear\\ 2 \ quadratic\\ 3 \ cubic\\ 4 \ quartic\\ 5 \ quintic\\
There are special names for polynomials with 1, 2, 3 terms. These are monomial, binomial, trinomial. For polynomials that have more than 3 terms, we simply say polynomial of n terms.
Question 3
When adding or subtracting polynomials we simply subtract/add like terms.
Like terms are those that have the same exponent. Here is an example:
4x^3+2x^2+x+5\\ x^4 -x^3+3x^2\\
Let us add these two polynomials:
4x^3+2x^2+x+5\\ x^4 -x^3+3x^2\\ x^4+(4x^3-x^3)+(2x^2+3x^2)+x+5=x^4+3x^3+5x^2+x+5
Question 4
Foil stands for First, Outer, Inner, Last.
Foil can be used only to multiply two binomials( polynomials that have 2 terms). 
Here is an example:
(2x+3)(x-2)= (2x\cdot x) (First)+(2x\cdot (-2)) (Outer)+(3\cdot x)(Inner)\\ + (3\cdot (-2)) (Last);\\ (2x+3)(x-2)=2x^2-2x+3x-6=2x^2+x-6
Question 5
First special case is square of a sum/difference. This happens when we want to multiply two identical polynomials. Example:
(x+2)(x+2)\\ (x^2-x)(x^2-x)
Second special case is a product of a sum and a difference. 
Here is an example:
(x-2)(x+2)\\
(x^2-x)(x^2+x)
Question 6
For these two special cases we can use following formulas:
(a\pm b)^2=a^2 \pm2ab+b^2\\
(a+b)(a-b)=a^2-b^2
Let me explain first formula:
(x+3)^2=x^2+6x+9\  Using the formula\\
(x+3)(x+3)=x^2+3x+3x+9=x^2+6x+9;Using FOIL

(x-3)^2=x^2-6x+9\ Using the formula\\ (x-3)(x-3)=x^2-3x-3x+9=x^2-6x+9;Using FOIL
Here is an example for second formula:
(x-3)(x+3)=x^2-9=x^2-(3)^2; Using formula\\
(x-3)(x+3)=x^2+3x-3x-9=x^2-9=x^2-(3)^2
You can see that we get the same result, so when you have these special cases you can use formulas as a schortcut.

8 0
3 years ago
Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle she wrote an equation to find the number of bottles s
Ann [662]

Answer:

She did a multiplication, i think she should have substracted both numbers to 100 and divide it by 1.25 or 1.49

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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