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3 years ago

Which decimal number best describes the fraction 77/6

Mathematics

1 answer:

german3 years ago

5 0

Answer:

Step-by-step explanation:

I looked it up on the calculator.

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the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of t

Veseljchak [2.6K]

Answer: $y = 2x -6$

Step-by-step explanation:

Since, If (x,y) represents the coordinates of a line, then after dilation about the origin by the scale factor k, the coordinates of the resultant line will get by the rule,

$(x,y)\rightarrow (kx,ky)$

Here, The equation of the given line is,

y = 2x - 4

x-intercept and y-intercept of the line are (2,0) and (0,-4) respectively,

Hence, the line y = 2x - 4 will be passes through the points (2,0) and (0,-4),

By the above property,

The dilated line about the origin will be passes through the points (3,0) and (0,-6), ( Because (3/2× 2, 3/2×0) = (3,0) and (3/2×0, 3/2×-4) = (0,-6) )

Hence, the equation of transformed line after dilation,

$y-0 = \frac{-6-0}{0-3}(x-3)$

$y-0=2(x-3)$

$y-0=2x-6$

$y=2x-6$

7 0

3 years ago

Read 2 more answers

Which graph represents the solution<br><br>8 - 3x ≥ -4

Vedmedyk [2.9K]

Answer:

3rd option

Step-by-step explanation:

8 - 3x ≥ - 4 ( subtract 8 from both sides )

- 3x ≥ - 12

divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.

x ≤ 4

since ≤ the circle on number line is solid ( not open )

since less than 4 then arrow points left away from 4

the solution is shown on the third graph

6 0

2 years ago

A town has a population of 2000 and grows at 4% every year what will be the population after 15 years to the nearest whole numbe

fomenos

To begin lets say year one the population is 2,000

assume this in percent we can say that 2,000=100%

at the end of this year the population will have grown by 4% meaning that

100%+4% will be the new population =104%

but we know that 100%=2,000 so what about 104%=X?

so (104*2000)/100=2,080

So year 1 the population will have grown by 80 people amounting to 2080 people.

Now do it manually year by year until we reach the 15th year. i will help you up to year 3

2nd year= (2080*104)/100=2163.2

3rd year= (2163*104)/100=2249.728

(If you have more complex questions reach me at essaywritingpool.com)

5 0

3 years ago

Write the equation of a line in point slope form that passes through the points (-8.-3) and (2,2) need help

slava [35]

Y+3=1/2•(x+8) (point slope form)
should be correct

7 0

3 years ago

2(x+x+12) > 100 (why does the 20 character thing exist)

arlik [135]

Answer:

x > 19

Step-by-step explanation:

2(x+x+12) > 100

2(2x+12) > 100

4x+24 > 100

4x > 76

x > 19

3 0

3 years ago