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KengaRu [80]
3 years ago
15

What is the value of the function when x = 3? x −2 −1 1 3 4 y 4 3 6 5 8

Mathematics
1 answer:
Anon25 [30]3 years ago
6 0
It tells us that:

(-2,4)
(-1,3)
(1,6)
(3,5)
(4,8)

Look at (3,5) ... it tells us that x = 3 and y = 5

So y = 5
You might be interested in
John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John say
IgorC [24]
The equation is 
3x - 4 = sqrt(x)
where 'sqrt' is shorthand for 'square root'

Let's solve the equation. To do so, we square both sides. Then we get everything to one side
3x - 4 = sqrt(x)
(3x - 4)^2 = (sqrt(x))^2
9x^2 - 24x + 16 = x
9x^2 - 24x + 16-x = x-x
9x^2 - 25x + 16 = 0

Now use the quadratic formula. See the attached image for those steps.

After using the quadratic formula the two possible solutions are x = 1 or x = 16/9

We need to check each possible solution to see if it is extraneous or not.

----------------------------

Checking x = 1

3x - 4 = sqrt(x)
3*1 - 4 = sqrt(1)
3 - 4 = 1
-1 = 1

The final equation is false, so x = 1 is not a true solution

x = 1 is extraneous. 

So far, John is correct; however, we need to see the nature of the possible solution x = 16/9

So let's check it
----------------------------

Checking x = 16/9

3x - 4 = sqrt(x)
3*(16/9) - 4 = sqrt(16/9)
48/9 - 4 = 4/3
16/3 - 4 = 4/3
16/3 - 12/3 = 4/3
(16 - 12)/3 = 4/3
4/3 = 4/3

The last equation is true, so x = 16/9 is a proper solution.

This solution is considered non-extraneous. So Tim is also correct
----------------------------

They are both correct because there are two possible solutions. One of which is extraneous (x = 1) and the other is non-extraneous (the fraction x = 16/9)

3 0
3 years ago
There are two mystery numbers the sum of eight times the first number and 10 times the second number is 24. The sum of seven tim
bonufazy [111]

Answer:

x = the first mystery number = 2

y = the second mystery number = 0.8

Step-by-step explanation:

Let

x = the first mystery number

y = the second mystery number

8*x + 10*y = 24

8x + 10y = 24

7*x + 10*y = 26

7x + 10y = 26

8x + 10y = 24 (1)

7x + 10y = 26 (2)

Subtract (1) from (2) to eliminate y

8x - 7x = 26 - 24

x = 2

Substitute x = 2 into (1)

8x + 10y = 24 (1)

8(2) + 10y = 24

16 + 10y = 24

10y = 24 - 16

10y = 8

y = 8/10

y = 0.8

x = the first mystery number = 2

y = the second mystery number = 0.8

8 0
2 years ago
Darren is painting a wooden block as part of his art project The block is a rectangular prism that is 12cm long by 9 cm wide by
Ksenya-84 [330]

Answer:

<h3>The surface area in square meters that Darren has to paint is 426cm^2</h3><h3>∴ A=426cm^2</h3>

Step-by-step explanation:

Given that Darren is painting a wooden block is a rectangular prism

Its length is 12 cm ,width is 9 cm and height is 5 cm

<h3>To find the surface area in square meters that Darren has to paint :</h3>

Let l be the length, w be the width and h be the height

Then l=12 cm , w=9 cm and h=5 cm

The formula for the Surface area is

A=2(lw+wh+hl) square units

Substitute the values in formula we get,

A=2(12(9)+9(5)+5(12))

=2(108+45+60)

=2(213)

=426

<h3>∴ A=426cm^2</h3><h3>∴ the surface area in square meters that Darren has to paint is 426cm^2</h3>

5 0
2 years ago
Laura walks 3/5 mile to scool each day isaiahs walk to school is 3 times as long as laura how far dose isaiah walk to school eac
KonstantinChe [14]
Isaiah walks 9/5 or 1 and 1/5 miles to school
7 0
3 years ago
It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a
erma4kov [3.2K]

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters

4 0
3 years ago
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