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nalin [4]
3 years ago
14

Which equation does the graph below represent

Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0

Answer:  The correct option is (D) y=4x.

Step-by-step explanation:  We are given to select the equation represented by the graph shown.

From the graph, we see a straight line passing through the points (0, 0) and (1, 4).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.

So, the slope of the graphed line will be

m=\dfrac{4-0}{1-0}\\\\\Rightarrow m=\dfrac{4}{1}\\\\\Rightarrow m=4.

Since the line passes through the point (0, 0), so its equation will be

y-0=m(x-0)\\\\\Rightarrow y=4\times x\\\\\Rightarrow y=4x.

Thus, the required equation that represents the graphed line is y=4x.

Option (D) is CORRECT.

OLEGan [10]3 years ago
3 0
Y-intercept, where the graph crosses y-axiss is 0. that means in the equation: y = mx + b
b = 0
the m, is slope. looking at the graph you can see the points on the line are connect up 4 right 1. rise/run = slope = 4
y = 4x
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Prove algebraically that 0.5 recurring = 5/9
weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

5 0
3 years ago
Veronika works at Future Shop and earns $10.50/h plus 3% commission on sales. Last week Veronika worked 40 hours. What was Veron
son4ous [18]

Answer:

$510

Step-by-step explanation:

The first thing you would do is multiply 3000 by .03 which would give you 90, then you would multiply her number of hours worked, 40, by  how much she gets paid per hour, 10.50 which will give you 420 then you would just add 90 to 420 and get a total of $510. Veronika's weekly gross salary is $510.

6 0
3 years ago
PLEASE HELP!! THX
solong [7]
Hello,
The translation t is (x,y)->(x-2,y+3)
So its inverse t^(-1)=-t is (x,y)->(x+2,y-3)

B=-t(B')=(4+2,-8-3)=(6,-11)

5 0
3 years ago
Suppose that x and y vary inversely, and x = 2 when y = 7. Write the function that models the inverse variation.
irga5000 [103]
Since, in this case, we have 4 options then you just need to substitute each number.
A. y = 5/x
B. y = 14/x
C. y = 9/x
D. y = 3.5x
 
We know that x= 2 when y=7. So...
A. y = 5/x
    7=5/2
    7=2.5 
   This is false.

B. y = 14/x
    7= 14/2
    7=7
  This is right, So True.

C. y = 9/x
     7=9/2
     7=4.5
    False

D. y = 3.5x    7=3.5(2)
    7=7
  This one is also true.

In this case we look for definition.

he statement " <span>y </span>varies inversely as <span>x </span>means that when <span>x </span>increases, <span>y </span>decreases by the same factor. In other words, the expression <span>xy </span>is constant:
xy = k   

where k is the constant of variation.

We can also express the relationship between x and y as:

y =  k/x 

where k is the constant of variation.

6 0
3 years ago
Read 2 more answers
Please! I need help ASAP!
Monica [59]

Answer:

need the answer still ?

Step-by-step explanation:

3 0
3 years ago
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