3 years ago

Find the solution to the system of equations.

Mathematics

1 answer:

Feliz [49]3 years ago

8 0

Solution to the system of equation (-2,5)

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Find the product and sum of the roots of the equation:<br> 2x^2-9x-10=0

BabaBlast [244]

Answer:

<h3> sum of the roots: $x_1+x_2=4\frac12$ </h3><h3> product of the roots: $x_1x_2=-5$ </h3><h3> Step-by-step explanation:</h3>

$2x^2-9x-10=0\quad\implies\quad a=2\,,\ b=-9\,,\ c=-10$

$b^2-4ac=(-9)^2-4(2)(-10)=81+80=161>0$

From Vieta's formulas applied to quadratic polynomial we have:

if $b^2-4ac\geqslant0$ then

sum of roots: $x_1+x_2=-\dfrac ba=-\dfrac{-9}2=4\frac12$

product of the roots: $x_1x_2=\dfrac ca=\dfrac{-10}2=-5$

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3 years ago

35 is less than the difference of 21 and a number

My name is Ann [436]

It's 35<21-n because 35 is less that 21 and an unknown number

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3 years ago

At the local fast food restaurant, the number of fries sold in one day was six less than three times the number of burgers. If t

LenaWriter [7]

X = burger number. 3x-6 = fries sold
3x-6 = 120 solve for x

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3 years ago

Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is

hjlf

Answer:

4 in

Step-by-step explanation:

<u>Use ratios and solve:</u>

1 in ÷ 7 ft = x in ÷ 28 ft
x = 28/7 in
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2 years ago

Me ajudem com a 3º questão

Alisiya [41]

I can't read that language but I'll guess it says write a second degree equation then solve for n when d=10.

$10 = \dfrac{n(n-3)}{2}$

$20 = n^2 - 3n$

$n^2 - 3n - 20 = 0$

Answer: n² - 3n - 20 = 0

That doesn't factor so there is no integer n solution.

That means there are no polygons with 10 diagonals.

$n = \frac 1 2(3 \pm \sqrt{89})$

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2 years ago