3 years ago

Quickest answer gets Brainliest

Mathematics

1 answer:

Zepler [3.9K]3 years ago

3 0

Answer:

(1.5, -2.5)

Step-by-step explanation:

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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

Answers for the 2 boxes please

pochemuha

(-3,-6) this is the answer you can also double check by plugging it into a calculator

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3 years ago

Every 4th visitor to a museum gets a free bumper sticker.Every 10th visitor to that museum gets a free key chain.Which visitor n

Aneli [31]

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3 years ago

Read 2 more answers

In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

where c is the proportionality constant

$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$

Hence, x value is 12 when y value is 9

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3 years ago

5+8^-38 what is the answer please

Eddi Din [679]

Well if the 8 is squared the answer should be 31

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3 years ago