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Vedmedyk [2.9K]
3 years ago
9

Solve these pair of simultaneous equations y=x^2-x-1 and y=2-3x

Mathematics
2 answers:
brilliants [131]3 years ago
7 0
Y = x^2 - x - 1
y = 2 - 3x

2 - 3x = x^2 - x - 1
x^2 - x - 1 - 2 + 3x = 0
x^2 + 2x - 3 = 0
(x + 3)(x - 1) = 0

x + 3 = 0            y = 2 - 3x
x = -3                 y = 2 - 3(-3)
                          y = 2 + 9  
                          y = 11

x - 1 = 0            y = 2 - 3x
x = 1                 y = 2 - 3(1)
                         y = 2 - 3
                         y = -1

so ur solutions are : (-3,11) or (1,-1)

Gnom [1K]3 years ago
3 0
Compare both sides, 
x² - x - 1 = 2 - 3x
x² + 2x - 3 = 0
x² -x + 3x - 3 = 0
x(x - 1) 3(x - 1) = 0
(x - 1)(x+3) = 0
x = 1 or - 3

In short, Your Answers would be 1 & -3

Hope this helps!
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Step-by-step explanation:

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Select the correct answer.
antoniya [11.8K]

The range of the function shown on the graph (see attachment) is: D. -9 ≤ y ≤ 8.

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

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

<h3>How to identify the range of this graph?</h3>

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached below, we can reasonably infer and logically deduce the following:

Range = [-9, 8]

In interval notation, the range of this graph can be rewritten as -9 ≤ y ≤ 8.

Read more on range here: brainly.com/question/16610662

#SPJ1

<u>Complete Question:</u>

Select the correct answer.

A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.

What is the range of the function shown on the graph above?

A. -7≤y≤-2

B.-8≤y≤8

C.-2≤y≤-7

D. -9≤y≤8

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1 year ago
Given a scalene triangle with whole number angle measurements, what is the greatest sum possible of the two smallest angles?
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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define scalene triangle

A Scalene Triangle is any triangle with unequal sides. This means that, in a scalene triangle, all of the three sides and angles are different lengths, just like in the illustration below. This also means that each angle has to be different.

STEP 2: Get the greatest sum possible of the two smallest angles

Since the measures of the angles of the triangle are different whole numbers , for the sum of the two angles to be the least possible, one of the angles must be smallest whole number i.e 1°

Now, the next smallest angle will be the next angle of a whole number that is not 1 degree, i.e, 2 degrees.

Thus, the greatest possible sum of the measures of two smallest angles will be:

1^{\circ}+2^{\circ}=3^{\circ}

Hence, the greatest sum possible of the two smallest angles is 3 degrees

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