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4 years ago

Is y=x(x-1) a function

Mathematics

2 answers:

arsen [322]4 years ago

7 0

Answer:

Yes.

Step-by-step explanation:

y = x(x - 1) is a function.

If we draw a graph of the expression we get a parabola which is shaped like a U.

The graph passes the vertical line test for s function (that is - any vertical line drawn through the curve passes through the curve at only one point).

Fed [463]4 years ago

4 0

Yes it is a function
Y=x(x-1)
X(x-1)
X to the 2nd power -1x
Hope that’s helps

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Helen's age is multiples of 4. Next year it'll be a mustiple of 3. Helen's older brother is now 19. How old is Helen now?

Firlakuza [10]

Helen is currently is 8 years old.

<h3>How to solve world problem ?</h3>

Endeavor to understand the question, analyze it and interpret it into equation.

Given that Helen's age is multiples of 4. Next year it'll be a multiple of 3. Helen's older brother is now 19.

This means Helen current age is multiple of 4 and next year it will be a multiple of 3. Also, Helen's age is less than 19

The two available numbers that fit this analysis and less than 19 are 8 and 9. 8 is multiple of 4. 8 + 1 = 9 which is multiple of 3

Therefore, Helen is 8 years old now

Learn more about Arithmetic here: brainly.com/question/6561461

#SPJ1

8 0

2 years ago

Find the Laplace Transform of the following function. <br><br> f(t) = 10 cos (12t+ 60°) u(t)

allsm [11]

Answer:

L(f(t)) = $\frac{5s - 60\sqrt{3} }{s^2 + 144}$

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = $\frac{5s - 60\sqrt{3} }{s^2 + 144}$

8 0

3 years ago

Find the common ratio r for the geometric sequence and use r to find the next three terms.

katrin2010 [14]

Answer:

96, 64, 42.6 or ( $\frac{128}{3}$ )

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Quadratic formula 3x^2 - 2x + 5 = 0

Tanzania [10]

Step-by-step explanation:

The given quadratic equation is :

$3x^2 - 2x + 5 = 0$

We need to solve the given equation. The formula used to solve a quadratic equation is :

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have, a = 3, b = -2 and c = 5

So,

$x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(5)}}{2(3)}\\\\x=0.333,4.667$

Hence, this is the required solution.

4 0

3 years ago

The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

Dmitry [639]

Answer:

The test statistic

Z = 1.149

Since the calculated value of Z = 1.149 is less than 1.96 at 5% (0.05) level of significance.

The null hypothesis is accepted

Hence the proportion is not equal 0.04

<u>Step-by-step explanation:</u>

Given data a random sample of 300 circuits is tested, revealing 16 defectives.

The proportion of success

$p = \frac{16}{300} =0.053$

Null hypothesis:- H₀ = P ≠0.04

Alternative hypothesis:- H₁ = P =0.04

Q = 1-P = 1-0.04=0.96

Level of significance ∝ =0.05

The test statistic

$Z= \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

now substitute all values, we get

$Z= \frac{0.053-0.04}{\sqrt{\frac{0.0384}{300} } }$

on calculation, Z = 1.149

Since the calculated value of Z = 1.149 is less than 1.96 at 5% (0.05) level of significance.

The null hypothesis is accepted .

Hence the proportion is not equal 0.04

3 0

4 years ago