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2 years ago

HELP PLEASE ASAP thank you!!!

Mathematics

1 answer:

ser-zykov [4K]2 years ago

7 0

Answer:

y=3/4x-4.5

Step-by-step explanation:

know that -4.5 is the intercept

and you can calculate the slope by seeing the rise/run between the two marked points

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The profit( in thousands ) that a company makes, t years after opening, can be found by: F(t) = 2t^2 - 6t -3

Ipatiy [6.2K]

a) After 4 years the profit will change from negative to positive.

b)after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) after 4 years the profit will be 5.

Step-by-step explanation:

a) After 1 year = 2(1) -6(1) -3

= 2-9

= -7

It's negative

After 2 years = 2(4) -6(2) -3

= 8-12-3

= -7

It's negative

After 3 years = 2(9) -6(3) -3

= 18 - 18 -3

= -3

It's negative

After 4 years = 2(16) -6(4) -3

= 32 -24-3

= 5

It's positive

After 4 years the profit will change from negative to positive

b) after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) profit = 2(16) - 6(4) -3

= 32 -24 - 3

= 5

after 4 years the profit will be 5

4 0

4 years ago

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix?

Airida [17]

Answer:

i) Focus ( 0,a) = $(0,\frac{1}{2} )$

ii) The equation of the directrix is

$y = -\frac{1}{2} or y +\frac{1}{2} =0$

Step-by-step explanation:

Step(i):-

A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not in a line) in the plane

• The Fixed line is called the directrix of the parabola.

• The Fixed point is called the focus of the parabola.

• A line through the focus and perpendicular to the directrix is called the axis of the parabola.

• The point of intersection of parabola with the axis is called the vertex of the parabola.

Given Parabola x² = 2 y

Comparing x² = 4 a y

4 a = 2

$a = \frac{1}{2}$

Focus ( 0,a) = $(0,\frac{1}{2} )$

Step(ii)

The equation of the directrix is y = -a or y +a=0

The equation of the directrix is

$y = -\frac{1}{2} or y +\frac{1}{2} =0$

The equation of the directrix is 2 y +1 =0

6 0

3 years ago

The graph represents Jason's speed on a trip. What is the rate of change for the period of time between 10 and 20 minutes?

11111nata11111 [884]

From 10 minutes to 20 minutes there is no rate of change, it stays at a constant and steady rate

Your answer would be A) 0

7 0

3 years ago

Read 2 more answers

Help please it would really help! Please I'll give a brainliest for the best and correct answer!

iren [92.7K]

The answer to your question is C. I hope this has helped

6 0

4 years ago

Read 2 more answers

your friend borrows $1,750 from you to buy a new dirt bike. Your friend pays you back the original amount of money that they bor

Salsk061 [2.6K]

I believe the correct answer is 367.50

1,750×7%=122.50

122.50×3=367.50

Hope this helps

5 0

3 years ago