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Ede4ka [16]
3 years ago
9

Add polynomials: (3-4x + 8x^2) + (-6 + 2x - 5x^2)

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

3x^2-2x-3

Step-by-step explanation:


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Use the discriminant to describe the roots of each equation. Then select the best description. 2 = x2 + 5x. A) Double root B) Re
fredd [130]

\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33


so we have a 33, namely two real solutions for that quadratic.


usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.


so 33 can only afford us two real irrational roots.

3 0
3 years ago
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali
tester [92]
Y = 180 - 52 - 59 = 69 degrees . . . . . . . . (angles on a straight line are supplementary, i.e. add up to 180 degrees)

x = 180 - 69 - 63 = 48 degrees . . . . . . . . (sum of interior angles of a triangle is 180 degrees)

Therefore, m/_x = 48 degrees.
4 0
3 years ago
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Two triangles with the same corresponding side lengths will be congruent is known as the ____.
Crazy boy [7]
The answer is the first one A. sss Postulate
5 0
3 years ago
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A motorcycle renting company charges $37 per day to rent a motorcycle along with a $25 one-time cleaning fee.
aleksklad [387]

Answer:

y=37*x+25

Step-by-step explanation:

it cost 37 dollars per day so you would do 37 times the number of days and you would add a one time cleaning fee and tHat equals the total price.

7 0
3 years ago
A give line has the equation 10x+2y=-2. What is the equation, in slope-intercept form, of the line that is parallel to the given
madam [21]

first off, let's solve the "given" line for "y", that way we can put it in slope-intercept form to see what its slope might be.

\bf 10x+2y=-2\implies 2y=-10x-2\implies y=\cfrac{-10x-2}{2} \\\\\\ y=\cfrac{-10x}{2}-\cfrac{2}{2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

well, a parallel line to that one, will have the same exact slope, so then, we're really looking for the equation of a line whose slope is -5 and runs through (0 , 12)

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{12})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-12=-5(x-0) \\\\\\ y-12=-5x\implies y=-5x+12

7 0
3 years ago
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