All categories

3 years ago

Is the following a function ?

Mathematics

2 answers:

Softa [21]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

Masja [62]3 years ago

3 0

Answer: Yes, this is a function.

Step-by-step explanation: Because, all of the x and y values correspond with each other.

***If you found my answer helpful, please give me the brainliest. :) ***

You might be interested in

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even C(x)=1

natka813 [3]

Consider these specific values of x.

For example, if x=10, then C(10)=16(10)+36,000=160+36,000=36,160 (say $)

and R(10)=18*10=180.

So if only 10 units are produced, the total cost is 36,160, while the revenue is only 180 (again, say $.)

If, for example, x=1000, then we can calculate

C(1000)=16*1000+36,000=16,000+36,000=52,000

and

R(1000)=18*1000=18,000.

This suggests that with higher values of x, we can get to a particular point where the Cost and Revenue are the same. To find this point, we set the equation:
C(x)=R(x),

which gives us that particular x at which both C(x) and R(x) give the same value.

Thus, we solve 16x+36,000=18x. Subtracting 16x from both sides 2x=36,000, then x = 36,000/2=18,000.

Answer: 18,000

8 0

3 years ago

Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s

netineya [11]

Answer:

The length of the loop is approximately 49.58 km.

Step-by-step explanation:

Given:

Time required to ride bicycle in loop = 2 hours and 30 mins

Now we know that;

60 mins = 1 hour

30 mins =0.5 hour

so 2 hour and 30 mins = $2+0.5 = 2.5\ hrs$

∴ Time required to ride bicycle in loop = 2.5 hrs

Let the speed at which she is riding the bicycle be 's'.

and let Total distance of the loop be 'd'

Now we know that;

Distance is given by speed multiplied by time.

framing in equation form we get;

$d =2.5s \ \ \ \ equation \ 1$

Now Given:

If she increase the speed by 1 km/hr, it would reduce her time around the loop by 7 minutes.

Hence we can say;

Speed = $s+1$

Also time will be reduce to 7 mins.

7 mins =0.12 hrs

Now time = 2.5-0.12 =2.38

Again Distance is given by speed multiplied by time.

framing in equation form we get;

$d =2.38(s+1) \ \ \ \ equation \ 2$

Now distance is same for both so we will calculate the speed by equating the equations.

$2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr$

Now Speed = 19.83 km/hr

Length of the loop (d) = $19.83\times 2.5 = 49.58 \ km$

Hence the length of the loop is approximately 49.58 km.

7 0

3 years ago

What do the asymptotes represent when we graph the tangent function? Where are they?

Alisiya [41]

Answer:

The asymptotes are the x-values for which the tangent function is not defined. We draw these in to remind us that the function does not cross that line. They are the odd multiples of 90°

7 0

3 years ago

Find an equation of a parabola with a vertex at the origin and directrix X = 2.5

adell [148]

Vertex=(0,0)
directrix is x=2.5
or x-2.5=0
so focus S is (-2.5,0)
let P(x,y)be any point on the parabola.
Let M be the foot of perpendicular from P(x,y) on the directrix.
then SP=PM
$\sqrt{(x-(-2.5))^2+(y-0)^2} =| \frac{x-2.5}{( \sqrt{1})^2 } |
squaring both sides$ $(x+2.5)^2+y^2=(x-2.5)^2 , x^2+6.25+5x+y^2=x^2+6.25-5x
$
$y^2=x^2+6.25-5x-x^2-6.25-5x=-10x
so eq. is y^{2} =-10x$

7 0

4 years ago

A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to

OleMash [197]

Answer:

10 square meters will have a standard deviation of 1.897.

Step-by-step explanation:

Standard deviation for n instances of a variable:

If the standard deviation for one instance of a variable is $\sigma$ , for n instances of the variable, the standard deviation will be of $s = \sigma\sqrt{n}$

The standard deviation of the number of flaws per square yard is 0.6

This means that $\sigma = 0.6$

For the 10 square yards will a standard deviation of

$n = 10$ , so:

$s = \sigma\sqrt{n} = 0.6\sqrt{10} = 1.897$

10 square meters will have a standard deviation of 1.897.

5 0

3 years ago