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Irina-Kira [14]
3 years ago
10

A father is 60 years old and his son is half his age. how old was the boy when his father was four times his age?

Mathematics
2 answers:
Natalka [10]3 years ago
7 0
Ok so
fater=60
son is 1/2
60 times 1/2=30
they aer 30 years apart

how long ago was father age 4 times son age
father's age x year ago=60-x
son's age x years ago=30-x

60-x=4(30-x)
distribute
60-x=120-4x
add 4x to both sides
60+3x=120
minus 60 from both sides
3x=60
divide both sides by 3
x=20
20 years ago

30-20=10

the boy was 10 years old
Arte-miy333 [17]3 years ago
4 0
He was 10 while his father was 40
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Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21
Mice21 [21]

Answer:

(-4,-13) and (4,3) the intersection points.

Step-by-step explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

f(x)=2x-5

g(x)=x^2+2x-21

For a common point of these functions,

f(x)=g(x)

2x-5=x^2+2x-21

-5=x^2-21

0=x^2-16

x^2=16

x=-4,4

For x=-4,

f(-4)=g(-4)=2(-4)-5

                       =-13

For x=4,

f(4)=g(4)=2(4)-5

                  =3

Therefore, (-4,-13) and (4,3) the intersection points.

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Step-by-step explanation:

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What is y=2/5x+800 graphed
marusya05 [52]

Answer:

The graph is a line with a gradient of 2/5, and which runs through the coordinate (0, 800) and (0, -2000).

Step-by-step explanation:

You can graph any line by drawing a line through two points that are on that line, and thus are part of the magical equation, which accounts for the description of any point on that line.

In fact that is exactly how a computer draws a graph. It plots a dot, wich coordinates are calculated by substituting a value in the formula. Next it does that for another coordinate, very close to the first one. Now you have two dots next to each other... and so on.

Because computers can calculate extremely fast, within an instant, the result is a plotted chart, which in this case looks like the graph of a line.

It's graph is a line with a gradient of 2/5, which goes through the y-axis at the coordinate (0, 800).

You could find another pont on this line, by randomly choosing a simple number for x and substituting that value in the equation. For an example, you could substitute x =2 in y=2/5x+800.

y = 2/5x+800

x = 2

y = 2/5*(2)+800

y = 10/5+800

y = 2+800

y = 802

So you now have another point (5, 802)

In general it is best to search for the value of x, when you substitute y = 0.

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y = 0

0 = 2/5x + 800

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x = -4000 / 2

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So you now have another point ( which goes through the x-axis ) at the coordinate (0, -2000).

Now you can draw the graph of y=2/5x+800.

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