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Naddik [55]
3 years ago
9

(-3x^2+x^4+x)+(2x^4-7+4x)

Mathematics
1 answer:
iragen [17]3 years ago
6 0

1. Remove parentheses

-3x^2 + x^4 + x + 2x^4 - 7 + 4x

2. Collect like terms

-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7

3. Simplify

-3x^2 + 3x^4 + 5x - 7

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Which equation has the steepest parabola?
ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

(y-k)=n(x-h)^2

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

\dfrac{1}{n}(y-k)=(x-h)^2

p(y-k)=(x-h)^2

where p=\dfrac{1}{n}, the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, |-0.5|=0.5

For option B, |5|=5

For option C, |8|=8

For option D, |-10|=10

Since, the equation is option A has smallest value of |p|, therefore, the equation (x+2)^2=-0.5(y+3) represents the steepest parabola.

Hence, the correct option is A.

7 0
3 years ago
Find a polynomial function of lowest degree with
ra1l [238]

Answer:

x^3-4x^2+25x-100

Step-by-step explanation:

We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root

Combining the roots into a polynomial gives us:

(x+5i)(x-5i)(x-4)

Expand:

(x^2 + 25)(x-4)

x^3-4x^2+25x-100

8 0
2 years ago
In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the ar
g100num [7]
Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.

                          Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in

Thus, the length of the segment is approximately 8.36 in. </span>
3 0
3 years ago
Read 2 more answers
Question 3
marin [14]

To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.

<h3>What is a triangle?</h3>

A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.

Triangles are classified according to their characteristics as shown below:

  • Equilateral triangle: It is a type of triangle that is characterized by having all equal sides. Consequently, all the angles of an equilateral triangle are 60º. The equilateral triangle is a regular polygon.
  • Isosceles triangle: It is a type of triangle that is characterized by having two equal sides and one different. Consequently, it also has two equal angles.
  • Scalene triangle: A scalene triangle is one that is characterized by having all its sides and angles unequal, that is, different from each other.

According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.

Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.

Learn more about triangles in: brainly.com/question/2773823

#SPJ1

5 0
2 years ago
A delivery truck made 8 stops in one neighborhood. By stop 5, there were 11 packages delivered. This graph shows this informatio
IceJOKER [234]
2 delivery stops

Find the point that hits 5 on the "packaging delivery".

Then look down to find the 'x'

your x is 2

hope this helps
6 0
3 years ago
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