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3 years ago

Which of the following is a linear function?

Mathematics

2 answers:

Andrews [41]3 years ago

8 0

Your answer should be y=8x2

Molodets [167]3 years ago

8 0

Answer:

Y= one over five x

Step-by-step explanation:

i got it right.

You might be interested in

Which of the following equations is equal to 3x^2+27?

Natalka [10]

Answer:

What are the possible answers?

8 0

3 years ago

You are making snap bags, you want each bag to have the same combination you have 75 carrots and 40 celery sticks and you want t

makkiz [27]

Answer:

5 Bags

Step-by-step explanation:

There are 75 carrots and 40 celery sticks.

If we want each bag to have the same combination, the greatest number of bags we can make is determined by the Greatest common divisor of the two numbers.

To find the Greatest common divisor of 70 and 40

Step 1: Express each number as a product of its prime factors

40=2 X 2 X 2 X 5
75=3 X 5 X 5

Step 2: Pick each pair of common factors.

40=2 X 2 X 2 X 5
75=3 X 5 X 5

The only factor common to both pairs is 5.

Therefore, the Greatest common divisor of 70 and 40 is 5.

The greatest number of bags that can be made is 5.

4 0

3 years ago

Find the theoretical probability of rolling a number cube labeled 1-12 and it landing on 7.

Rashid [163]

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

3 0

3 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

2 years ago

Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com

aliina [53]

Answer:

The set of polynomial is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = $\left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]$

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

= 7(1) - 1(0)

= 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial is Linearly Independent.

5 0

2 years ago