1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
den301095 [7]
2 years ago
5

Which of the following statements are true about the function y = 3x?

Mathematics
1 answer:
dolphi86 [110]2 years ago
6 0

Answer:

I believe the answer is The constant of variation is y is 6 when x is 2.

You might be interested in
On an alien planet with no atmosphere, acceleration due to gravity is given by g = 12m/s^2. A cannonball is launched from the or
almond37 [142]

Answer:

a) \vec r (t) = \left[(90\cdot \cos \theta)\cdot t \right]\cdot i + \left[(90\cdot \sin \theta)\cdot t -6\cdot t^{2} \right]\cdot j, b) \theta = \frac{\pi}{4}, c) y_{max} = 84.375\,m, t = 3.75\,s.

Step-by-step explanation:

a) The function in terms of time and the inital angle measured from the horizontal is:

\vec r (t) = [(v_{o}\cdot \cos \theta)\cdot t]\cdot i + \left[(v_{o}\cdot \sin \theta)\cdot t -\frac{1}{2}\cdot g \cdot t^{2} \right]\cdot j

The particular expression for the cannonball is:

\vec r (t) = \left[(90\cdot \cos \theta)\cdot t \right]\cdot i + \left[(90\cdot \sin \theta)\cdot t -6\cdot t^{2} \right]\cdot j

b) The components of the position of the cannonball before hitting the ground is:

x = (90\cdot \cos \theta)\cdot t

0 = 90\cdot \sin \theta - 6\cdot t

After a quick substitution and some algebraic and trigonometric handling, the following expression is found:

0 = 90\cdot \sin \theta - 6\cdot \left(\frac{x}{90\cdot \cos \theta}  \right)

0 = 8100\cdot \sin \theta \cdot \cos \theta - 6\cdot x

0 = 4050\cdot \sin 2\theta - 6\cdot x

6\cdot x = 4050\cdot \sin 2\theta

x = 675\cdot \sin 2\theta

The angle for a maximum horizontal distance is determined by deriving the function, equalizing the resulting formula to zero and finding the angle:

\frac{dx}{d\theta} = 1350\cdot \cos 2\theta

1350\cdot \cos 2\theta = 0

\cos 2\theta = 0

2\theta = \frac{\pi}{2}

\theta = \frac{\pi}{4}

Now, it is required to demonstrate that critical point leads to a maximum. The second derivative is:

\frac{d^{2}x}{d\theta^{2}} = -2700\cdot \sin 2\theta

\frac{d^{2}x}{d\theta^{2}} = -2700

Which demonstrates the existence of the maximum associated with the critical point found before.

c) The equation for the vertical component of position is:

y = 45\cdot t - 6\cdot t^{2}

The maximum height can be found by deriving the previous expression, which is equalized to zero and critical values are found afterwards:

\frac{dy}{dt} = 45 - 12\cdot t

45-12\cdot t = 0

t = \frac{45}{12}

t = 3.75\,s

Now, the second derivative is used to check if such solution leads to a maximum:

\frac{d^{2}y}{dt^{2}} = -12

Which demonstrates the assumption.

The maximum height reached by the cannonball is:

y_{max} = 45\cdot (3.75\,s)-6\cdot (3.75\,s)^{2}

y_{max} = 84.375\,m

7 0
3 years ago
1+5+10-7*15+45/2<br> please help it’s due soon!!!
KatRina [158]

Answer:

Negative 66.5 or -66.5

Step-by-step explanation:

You need to put minus before the number branliest me

8 0
2 years ago
What is the point-slope equation of a line if the slope is 3 and it passes through the point (-9, 2
Art [367]

Answer:

The point-slope equation of the line is y - 2 = 3(x + 9)

Step-by-step explanation:

The form of the point-slope equation is y - y1 = m(x - x1), where

  • m is the slope of the line
  • (x1, y1) is a point on the line

∵ The slope of a line is 3

∴ m = 3

∵ The line passes through point (-9, 2)

∵ x1 = -9

∴ y1 = 2

→ Substitute the values of m, x1, and y1 in the point-slope form

∵ y - y1 = m(x - x1)

∴ y - 2 = 3(x - (-9))

→ Remember (-)(-) = (+)

∴ y - 2 = 3(x + 9)

∴ The point-slope equation of the line is y - 2 = 3(x + 9)

6 0
3 years ago
How do you solve x^4-16x^2-720=0
kirill115 [55]

Answer:x

=

6

,

−

6

,

2

i

√

5

,

−

2

i

√

5

7 0
3 years ago
In need help please
pantera1 [17]

Answer:

->a is 2

->b is one eight

Step-by-step explanation:

one fourth dividen in two becomes one eight.

5 0
3 years ago
Other questions:
  • 1000 times 32.18 what’s the answer plzz help me
    9·1 answer
  • How much should an eleven year old boy weigh?
    10·1 answer
  • Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2x + 3 intersect are the s
    8·1 answer
  • A rectangular blanket’s perimeter is 210 inches. If the long sides of the blanket measure 60 inches, what is the length of the s
    9·1 answer
  • A​ cone-shaped vase has height 29 cm and radius 7 cm. An artist wants to fill the vase with colored sand. The sand comes in smal
    5·1 answer
  • 7 minutes left and im dead and im only at the 4th question, help?
    8·2 answers
  • The Vikings basketball team scored the points shown below in their last 7 games.
    14·2 answers
  • Simplify the following expression - 12(5x-4) *
    15·2 answers
  • I need the x and y value<br><br><br> I did it and I got 26 got both, but I’m not sure.
    15·2 answers
  • The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!