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2 years ago

Last question, please help a friend out haha thanks :D

Mathematics

1 answer:

hjlf2 years ago

4 0

Ax + By = C

3x + 2y = 12

A=3, B = 2 and C = 12

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Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$

And so the equation is

$x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0$

In order to have integer coefficients, you can multiply both sides of the equation by 8:

$8x^2 - 10 + 3 = 0$

5 0

2 years ago

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

IceJOKER [234]

Answer:

Step-by-step explanation:

square root of 260 is 16.1 therefore h is the closest

4 0

2 years ago

Read 2 more answers

80 is 50% of what number

KonstantinChe [14]

Answer:

80 is 50% of 160.

Step-by-step explanation:

In order to find this, we take the whole number and divide by the percentage that it represents. This gives us the number we are looking for.

80/50%

80/.50

160

3 0

2 years ago

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Find the 52nd term of the following arithmetic sequence.<br> 3, 9, 15, 21,

Alex Ar [27]

Answer:

309

Step-by-step explanation:

a = 3, d = 6, n 52

Nth term of an Arithmetic sequence is given as:

$t_n=a +(n-1)d \\ \therefore \: t_{52}=3 +(52-1) \times 6 \\ \therefore \: t_{52}=3 +51\times 6 \\ \therefore \: t_{52}=3 +306 \\ \huge \red{ \boxed{\therefore \: t_{52}=309 }}\\$

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3 years ago

6 students took a test, the dot plot shows the score of 5 of these students. The average score of students is 21 ? What was the

bazaltina [42]

Answer:

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Step-by-step explanation:

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2 years ago