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2 years ago

Please help, i forgot which was which... (positive or negative coefficient)

Mathematics

1 answer:

Vesna [10]2 years ago

8 0

<h3>Answer: Negative</h3>

Reason:

The template $y = ax^2+bx+c$ applies to any quadratic to graph out a parabola. The coefficient for the x^2 term is 'a', and it solely determines whether the parabola opens upward or downward.

If 'a' is negative, then the parabola opens downward. The way to remember this is that 'a' being negative forms a negative frown.

On the other hand if 'a' is positive, then it forms a positive smile, and the parabola opens upward.

In this case, the points are fairly close to a parabola opening downward. This means 'a' is negative and a < 0.

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The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 − 11t + 44 billion dollars (2

son4ous [18]

Answer:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

Step-by-step explanation:

For this case we have the following function:

$P(t) = 1.6 t^2 -11t +44$

Where P represent the annual net income for the period 2007-2011 and $2 \leq t \leq 7$

And t represent the time in years since the start of 2005

In order to find the lowet income we need to use the derivate, given by:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

5 0

3 years ago

In triangle ABC measure of angle A equals 45°. The altitude divides the side AB into two parts of 20 and 21 units. Find BC.

Nat2105 [25]

In triangle ABC, BC = 29 units.

Given,

In Δ ABC, ∠A = 45°.

A perpendicular line segment traced from a triangle's vertex to its opposite side is said to be the triangle's altitude.

Let altitude meet AB on D.

So, AD = 20 units and DB = 21 units and ∠ADC = ∠BDC = 90°

In ΔADC,

tan A = DC/AD

tan 45° = DC/20

1 = DC/20

DC = 20 units

In ΔBDC,

BC² = BD² + DC² (Pythagorean Theorem)

= 21² + 20²

= 441 + 400

= 841

BC = √841

= 29

Hence, BC = 29 units.

To learn more about triangle here

brainly.com/question/2272632

#SPJ1

4 0

1 year ago

Solve for y<br><img src="https://tex.z-dn.net/?f=3x%20-%20y%20%3D%20%20-%202y" id="TexFormula1" title="3x - y = - 2y" alt="3x -

SVETLANKA909090 [29]

Step 1: Subtract $3x$ from both sides. Leaving us with $-y = -3x -2y$

Step 2: Add $2y$ to both sides. Leaving us with $y = -3x$

So, your answer would be y = -3x

4 0

3 years ago

Which formula can be used to describe the sequence <br> -3, 3/5, -3/25, 3/125, -3/625

maks197457 [2]

Answer:

a(n) = -3(-1/5)^(n - 1)

Step-by-step explanation:

From the first term, -3, we get the second term, 3/5, by multiplying -3 by -1/5.

Thus, the common ratio is -1/5.

The general formula in this case is a(n)=(first term)(common ratio)^(n - 1), or

a(n) = -3(-1/5)^(n - 1)

6 0

3 years ago

Find the value of x.

wlad13 [49]

Answer: 36.75

Step-by-step explanation:

147 degree = 4x

147 divided by 4 = 36.75

---> I think this is right. Im not sure. I am trying to help in any way I can. If this is wrong I am sorry. Probably others have a better answer.

8 0

3 years ago