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Rudiy27
3 years ago
10

The points (-4,r) and (2,-3) lie on a line with a slope-1. Find the missing coordinator r.?

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

3 (-4,3)

Step-by-step explanation:

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Consider the functions f(x) = 3x2, g(x)=1/3x , and h(x) = 3x. Which statements accurately compare the domain and range of the fu
Genrish500 [490]

Answer:

all of the functions have a unique range ⇒ answer 1

Step-by-step explanation:

* Lets revise how to find the domain and the range of the function

- The domain is all values of x that make the function defined

- The range is the set of all output values of a function

∵ f(x) = 3x²

- It is a quadratic function

- There is no values of x make this function undefined

∴ The domain of f(x) is all real numbers

- To find the range calculate the vertex of the function

∵ f(x) = ax² + bx + c

∵ f(x) = 3x²

∴ a = 3 , b = 0 , c = 0

∵ h = -b/2a

∴ h = 0/2(3) = 0/6 = 0

∵ k = f(h)

∴ k = f(0) = 3(0)² = 0

∴ The vertex of the cure is (0 , 0)

∵ k is the minimum value of the parabola

∴ The range of f(x) is all real numbers greater than or equal

  to zero ⇒ (1)

∵ g(x) = 1/3x

- It is a rational function

- to find the values of x which make the function undefined equate

 the denominator by 0

∵ 3x = 0 ⇒ divide both sides by 0

∴ x = 0

∴ The domain of g(x) is all real numbers except zero

∵ We can not put x = 0, then there is no value of g(x) at x = 0

∴ The range of the g(x) is all real number except zero ⇒ (2)

∵ h(x) = 3x

- It is a linear function

∵ There is no values of x make this function undefined

∴ The domain of h(x) is all real numbers

∴ The range of h(x) is all real numbers ⇒ (3)

* From (1) , (2) , (3) the answer is

 all of the functions have a unique range

# Look to the attached graph to more understand

The red graph is f(x)

The blue graph is g(x)

The green graph is h(x)

8 0
3 years ago
Read 2 more answers
I need help with this.
anyanavicka [17]

Answer:

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Step-by-step explanation:

hrtrrrrrrrrrrrrrrrrhhhhhhrhhhhhhhhhhhhhhhhhhhhhhhhhhhhrhhrhhrrhhhrhhhhh

8 0
3 years ago
A list of numbers is given below. If x is a number in this list, which inequality could represent x? {-5, -12, -2, -9}
Flauer [41]

Answer:

x<-1

Step-by-step explanation:

All of the numbers on/in the set are below -1. That means for that any of them to be x, the inequality would be x<-1.

5 0
2 years ago
A piece of fabric is 2 yards long Marcus puts one patch at each end of the fabric and at each quarter foot mark how many patches
klio [65]
Conversion.
1 yard = 3 feet

So the fabric has 2 yards. Then the size of the patch is 1/4 foot. 
So the number of patches that Marcus used is..
= 3 * 2
= 6 / (1/4)
= 24 patches.

So a total of 24 patches Marcus used.
5 0
3 years ago
Read 2 more answers
What value of x makes the equation true?<br><br> 16 + (18 + 10) = (x + 18) + 10<br><br> x = ?
choli [55]

Answer:

  See below

Step-by-step explanation:

16 + (18 + 10) = (x + 18) + 10x

16 + 28 = (x + 18) + 10x        Add like terms in the parentheses

44 = (x + 10x) + 18               Use the community property to regroup like

                                            terms

44 = 11x + 18                         Simply

<u>-18 =        -18</u>                         Substract 18 from both side

26  = 11x                               Simply

<u>26</u>  =  <u>11x</u>                              Divide by 11

11        11

2\frac{4}{11} = x                               Reduce                

3 0
2 years ago
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