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bazaltina [42]
3 years ago
8

Elimination was used to solve a system of equations.

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

34 7

Step-by-step explanation:

You might be interested in
Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16
s344n2d4d5 [400]

Answer:

k=3

Step-by-step explanation:

Let

f(x)=2x^3+18x^2-18x-162

We factor 2 to obtain;

f(x)=2(x^3+9x^2-9x-81)

We factor the polynomial within the parenthesis by grouping.

f(x)=2(x^2(x+9)-9(x+9)

f(x)=2(x^2-9)(x+9)

f(x)=2(x^2-3^2)(x+9)

We apply difference of two squares on the second factor: x^2-3^2=(x-3)(x+3)

f(x)=2(x+3)(x-3)(x+9)

We now compare to;

f(x)=2(x+k)(x-k)(x+9)

It is now obvious that k=3

6 0
3 years ago
An expression involves subtracting two numbers from a positive number. Under what circumstances with the value expression be neg
Svetach [21]
So (positive integer)-x-y can be negative
so to get a negative number as your result/answer, x+y must be greater than (positve integer) so  for example


lets say (positive integer)=8
x+y must be greater than 8 to make the equation negative so
example
x=5
y=4
x+y=9
8-9=-1
7 0
3 years ago
How many odd three-digit numbers can you make up of five cards with the numbers 1, 2, 3, 5, 6?
bulgar [2K]
I believe 17, 7, and 1
3 0
3 years ago
four distinct circles are drawn in a plane. what is the maximum number of points where at least two of the circles intersect?
kolezko [41]

90 points where at least two of the circles intersect.

<h3>Define circle.</h3>

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

Given,

Four distinct circles are drawn in a plane.

Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.

As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.

The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.

90 points where at least two of the circles intersect.

To learn more about circle, visit:

brainly.com/question/11213974

#SPJ4

3 0
1 year ago
-7x^3-9x^2+8x this is factoring completely
loris [4]
Answer:
<span> (x + 6) • (x + 5) • (x - 2)

Is this what u were looking for? Sorry if not XDD

</span>
3 0
3 years ago
Read 2 more answers
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