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Greeley [361]
2 years ago
5

Is y=10/x linear or not

Mathematics
2 answers:
vfiekz [6]2 years ago
6 0

Answer:

Yes it goes in a straight line

Step-by-step explanation:

Sergeeva-Olga [200]2 years ago
4 0

A graph of a function y = f(x) is symmetric with respect to the origin if replacing x by -x and y by -y yields the same function.  For y = 10x, if we replace x by -x and y by -y, we get -y = -10x, which simplifies to y = 10x.  Thus, the graph of y = 10x is symmetric with respect to the origin.

Linear functions are odd degree functions.  These type of functions do not have any symmetry with respect to the either axis.

However, the function       y=mx+b

where   m = ±1

           b = 0

does have symmetry with respect to the origin.

You might be interested in
The sales tax is $1002.80 on an automobile purchase of $21800. what is the sales tax rate?
AfilCa [17]

Answer:

21.7391%

Step-by-step explanation:

21800/1002.80

7 0
2 years ago
What is the slope of a line that is perpendicular to the line y= -1/2x +5?
spin [16.1K]
The answer is:

B. -1/2

Explanation:
The equation is in y= mx + b form, which means that m= slope and b= y-intercept. You can see that the slope is -1/2.


7 0
2 years ago
According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e
slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that p = 0.09

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

P(X < 4) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X < 4)

In which

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225

P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827

P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082

P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982

Finally

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0
2 years ago
A right rectangle prism has a length of 5 cm, a width of 4 cm, and a height of of 3 cm. The dimensions of the prism are doubled.
MaRussiya [10]
As the volume of cuboid is given by,
l×b×h
as the dimensions are doubled,
l2×b2×h2
5×2×4×2×3×2
= 480 cm^3
6 0
2 years ago
Read 2 more answers
Given g(x)=x^2 and h(x)= x-3 find (g ∘ h)(x)
DerKrebs [107]

Answer:

<h2>(g ∘ h)(x) = x² - 6x + 9</h2>

Step-by-step explanation:

g(x) = x²

h(x) = x - 3

To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

<h3>(g ∘ h)(x) = x² - 6x + 9</h3>

Hope this helps you

5 0
3 years ago
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