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3 years ago

Please help with this

Mathematics

1 answer:

slava [35]3 years ago

8 0

Answer:

D) x= $\frac{-2+-2\sqrt{7} }{3}$

Step-by-step explanation:

The quadratic formula is : $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

A in terms of this question=9

B in terms of the question is 12

C in terms of the question is -24.

This question is an example of a quadratic equation. To work this out you may first need a calculator. The first step is to substitute the values of a,b and c into the formula. So once substituted the formula of $\frac{-b+-\sqrt{b^2-4ac} }{2a}$ becomes $\frac{(-12)+-\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}$ . Although when written in a calculator there will not be a plus and minus button and so you would have to do this separately.

However when substituting the values it would be best practice to put them in brackets.

1) Substitute the values into the equation for +.

$\frac{(-12)+\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /1.097167541$

2) Substitute the values into the equation for -.

$\frac{(-12)-\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /-2.430500874$

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Choose the equation for the red graph

Leona [35]

The red line is a reflection across the x-axis, so the correct option is d.

<h3>How to write the equation for the red line?</h3>

First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.

This reflection only changes the sign of the right side, then we get that the function of the red line is:

g(x) = -f(x)

Then we can write this as:

y = g(x) = -f(x) = -1*f(x)

If we divide both sides by -1, we get:

y/(-1) = f(x)

Like in option d, so that is the correct one.

If you want to learn more about reflections:

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3 0

2 years ago

2) Dada a equação x2 – 4x – 12, faça o que se pede.

alexandr1967 [171]

Answer:

a) x1 = 6 and x2 = -2

b) -2

Step-by-step explanation:

To find the roots of the quadratic equation, we can use the Bhaskara's formula:

Delta = b^2 - 4ac

Delta = (-4)^2 - 4*1*(-12) = 64

sqrt(Delta) = 8

x1 = (-b + sqrt(Delta)) / 2a

x1 = (4 + 8) / 2

x1 = 6

x2 = (-b - sqrt(Delta)) / 2a

x2 = (4 - 8) / 2

x2 = -2

The roots are 6 and -2, so the smaller root is -2

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3 years ago

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zheka24 [161]

Answer:

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Step-by-step explanation:

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2 years ago

Find the product. (r s)2 r² 2rs s r² 2rs s² r² 2rs 2s².

sveta [45]

The product of the given expression is $\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs$ .

Given

The product of $\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2$ .

<h3>What is multiplication?</h3>

Multiplication is the process of calculating the product of two or more numbers.

The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

The product of $\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2$ is given by;

$\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2\\\\(2r^3 + 2r^2s) + 2rs + 2rs + 2rs + s^2r^2 + sr^2 + 2s^2\\\\2r^3+ 2r^2s + 6rs + s^2r^2 + sr^2+ 2s^2$

$\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs$

Hence, the product of the given expression is $\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs$ .

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6 0

2 years ago

Write down the next one term in sequence :3;10;17;24;31

Verdich [7]

Answer:

Step-by-step explanation:

you start by taking 10_3 24_17 then you will see difference is 7 then you will take 7+31=38

5 0

2 years ago