Help i need answers

Mathematics

1 answer:

k0ka [10]3 years ago

3 0

Answer:

The last one if it says to add and the second one if it says to subt.

Hope this helps!!

Step-by-step explanation:

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PLEASE HELP! Thank you!!

Aliun [14]

1. x is less then or equal to -1 or x is greater then or equal to 5.

2. x is greater then -4 and x is less than or equal to -1

The reason it is equal to or not is because above the original number there is a dot. If it is not filled in, it is considered open. This would leave it as greater than or less than. If it were filled in, it would be considered closed. Leaving it as greater than or equal to or less than or equal to.

3 0

3 years ago

Rationalize the denominator of sqrt -9 / (4-7i) - (6-6i) ...?

Colt1911 [192]

√(- 9 ) / (( 4 - 7 i ) - ( 6 - 6 i )) = 3 i / ( 4 - 7 i - 6 + 6 i ) =
= 3 i / ( - 2 - i ) = - 3 i / ( 2 + i ) =
$= \frac{-3i}{2 + i}* \frac{2 - i}{2 - i}= \\ = \frac{-6i+3i ^{2} }{2- i^{2} }= \\ = \frac{-3-6i}{2+1}= \frac{-3-6i}{3}=$
= - 1 - 2 i

5 0

3 years ago

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:

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