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djverab [1.8K]
3 years ago
5

Look at the following pairs of numbers (x, y).

Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0

Step-by-step explanation:

Taking the first coordinate point (3,16.5)

where x= 3 and y= 16.5

\frac{y}{x}  =  \frac{16.5}{3}

\frac{y}{x}  = 5.5

y = 5.5x

optionB

charle [14.2K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

B. y = 5.5 x

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The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o
ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is (7,2834)

Y-intercept is (0,4682)

X-intercept is (17.73,0)

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

y= -264\ x+4682

where y is the number of stores and x represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution (7,?)

For the ordered pair, we are given the x value which is =7 i.e 7 years after 1990. Thus we will plugin x=7 in the linear equation to get the y value which is number of stores after 7 years from 1990.

y= -264\ (7)+4682

y= -1848+4682

y= 2834

Thus the ordered pair is (7,2834)

To find y-intercept which is the point where the line touches the y-axis, we would plugin x=0 in the equation as the x-coordinate is 0 at y-axis.

y= -264\ (0)+4682

y= 0+4682

y=4682

Thus y-intercept is at point (0,4682)

To find x-intercept which is the point where the line touches the x-axis, we would plugin y=0 in the equation as the y-coordinate is 0 at x-axis and thus for x

0= -264\ x+4682

Subtracting both sides by 4682.

0-4682= -264\ x+4682-4682

-4682= -264\ x

Dividing both sides by -264

\frac{-4682}{-264}= \frac{-264\ x}{-264}

17.73= x

∴ x=17.73

Thus x-intercept is at point (17.73,0)

5 0
4 years ago
Please solve Questions - 18 , 20 , 21 <br>Show proper work. Thank-you!
Ymorist [56]
18. If f(x)=[xsin πx] {where [x] denotes greatest integer function}, then f(x) is:
since x denotes the greatest integers which could the negative or the positive values, also x has a domain of all real numbers, and has no discontinuous point, then x is continuous in (-1,0).

Answer: B]

20. Given that g(x)=1/(x^2+x-1) and f(x)=1/(x-3), then to evaluate the discontinuous point in g(f(x)) we consider the denominator of g(x) and f(x). g(x) has no discontinuous point while f(x) is continuous at all points but x=3. Hence we shall say that g(f(x)) will also be discontinuous at x=3. Hence the answer is:
C] 3

21. Given that f(x)=[tan² x] where [.] is greatest integer function, from this we can see that tan x is continuous at all points apart from the point 180x+90, where x=0,1,2,3....
This implies that since some points are not continuous, then the limit does not exist.
Answer is:
A]


3 0
4 years ago
Compute 7 2/3 + 8 1/2 + 4 1/6. which is the sum in simplified form\
kotegsom [21]
hope I'm right but either 2 or 4 i can kinda go either way
6 0
3 years ago
Read 2 more answers
1. Solve the system by graphing. Be sure to check your solution.<br> y=-x+3<br> y=x+1
Kazeer [188]
Here is your graph ...

6 0
3 years ago
Three times a number increased by ten is equal to twenty
JulijaS [17]

Answer:

The number is 10/3

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

Three times a number increased by ten is equal to twenty

(3n) + 10 = 20

<u>Step 2:  Subtract 10 from both sides</u>

3n + 10 - 10 = 20 - 10

3n = 10

<u>Step 3:  Divide both sides by 3</u>

3n / 3 = 10 / 3

n = 10/3

Answer:  The number is 10/3

6 0
3 years ago
Read 2 more answers
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