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3 years ago

Third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9)

1 answer:

8 0

Three zeroes of a third-degree polynomial are given, with the graph passing through the point (3,6). To find the equation of this, first, let us set up how a 3rd-degree polynomial factored out should look like:

y = a(x+b)(x+c)(x+d).

Since the zeroes of the function are -3, -2, 1, the equation will look like y = a(x+3)(x+2)(x-1). To solve for a, plug-in x = 3 and y = 6 from the point (3,6). After replacing the variable a in the equation with the answer, you will have the solution for the problem.

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You fly a hot air balloon 3.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round y

STatiana [176]

Answer:

$\Delta s \approx 334.545\,m$

Step-by-step explanation:

Let assume that Earth is a sphere, the following trigonometric diagram is constructed and presented below. The central angle is given by this inverse trigonometric equation:

$\theta = 2\cdot \cos^{-1} \left(\frac{r}{r+h} \right)$

$\theta = 2\cdot \cos^{-1}\left(\frac{4000\,mi}{4000\,mi+3.5\,mi} \right)$

$\theta = 4.792^{\circ}$

The distance of the portion of Earth that can be seen is:

$\Delta s = \frac{4.792^{\circ}}{360^{\circ}}\cdot (2\pi)\cdot (4000\,mi)$

$\Delta s \approx 334.545\,m$

7 0

3 years ago

How do I solve the following system of equations? <br>-5x-3y=7<br>-3x-4y=2

garri49 [273]

Answer:

(-2, 1)

Step-by-step explanation:

Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:

-3(-5x - 3y = 7) or 15x + 9y = -21

5(-3x - 4y = 2) or <u>-15x -20y = 10</u>

-11y = -11

y = 1

Solve for x: -5x - 3 = 7

Add 3 to both sides: -5x -3 + 3 = 7 + 3 or -5x = 10

Solve for x: x = -2

(-2, 1)

6 0

3 years ago

The circumference of a circle is like the ________ of a figure.

adelina 88 [10]

Answer:

The answer would be 'B. perimeter'.

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2x%7D" id="TexFormula1" title="\frac{3}{2x}" alt="\frac{3}{2x}" align="absmid

defon

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

3 0

3 years ago

I showed you a curvilinear relationship between age and memory. Now, I want you come up with two variables that you think might

Bogdan [553]

Answer:

Step-by-step explanation:

Curvilinear relationship

A curvilinear relationship is a type of relationship in which there are two variables. As and when the value of one variable increases, so does the value of the other. This continues until a certain point, after which an increase in one variable decreases the value of the other.

Example:

The two variables are - Work pressure and work performance. As work pressure increases, work performance increases until a certain point. After a threshold, when work pressure exceeds, work performance drops. This results in a curvilinear relationship between the two variables.

4 0

3 years ago