Help what is x^2-2x-24=0 I know you can use quadratic formula I just forgot how examples always help :)

Answers

Answer 1

Answer: There are another way to solve a quadratic equation we call, Sum and product.

Let's see how we can do this...

$x^2-2x-24=0$

$Sum=-(b)/(a)$

$Product=(c)/(a)$

therefore

$Sum=-((-2))/(1)=2$

$Product=(-24)/(1)=-24$

now we have to pick up 2 numbers that the sum should be 2 and the product should be -24, we just have to think a little.

Let's try -3 and 8, for example.

$8+(-3)=5$

$8*(-3)=-24$

Doesn't work.

Let's try now 4 and -6.

$4+(-6)=-2$

$4*(-6)=-24$

Can you see here, that we have to change the signal?!

therefore

Let's try -4 and 6

$6+(-4)=2$

$6*(-4)=-24$

$Sum=2$

and

$Product=-24$

Them it works.

$\boxed{\boxed{x_1=-4~~and~~x_2=6}}$

Answer 2

Answer: $x^2-2x-24=0\n\na=1;\ b=-2;\ c=-24\n\n\Delta=b^2-4ac\n\n\Delta=(-2)^2-4\cdot1\cdot(-24)=4+96=100\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(2-√(100))/(2\cdot1)=(2-10)/(2)=(-8)/(2)=-4\n\nx_2=(2+√(100))/(2\cdot1)=(2+10)/(2)=(12)/(2)=6$

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Evaluate 2ac if a = 1/2 and c = 9

Answers

2AC=
2( $(1)/(2)$ )(9)
=9

Vivid is a drummer for a band. She burns 756 calories in 3 hours. She burns the same number of calories each hour. How many calories does vivo burn per hour

Answers

Answer:

252 calories burned in 1 hour.

Step-by-step explanation:

She burns 756 calories in 3 hours.

She burns x calories in 1 hour

756/3 = x/1

756/3 = x

252 = x

So she burns 252 in 1 hour.

You read 50 pages in an hour. Your sister reads 40 pages in an hour. Explain how to find out how many more pages you read than your sister reads in 1/2 hour?A. I know that 50 • 40 = 2,000, so I read 1,000 more pages than my sister reads in 1/2 hour.
B. I know that 50 ÷ 40 = 5454, 5 ÷ 4 = 1 1/4, so I read 1 1/4 more pages than my sister reads in 1/2 hour.
C. Because I read 10 more pages than my sister reads in 1 hour, I read 5 more pages in 1/2 hour.
D. Since 5 • 4 = 20, I read 20 more pages than my sister reads in 1/2 one half hour.

Answers

C because you have to do 50÷2=25 and 40÷2=20 and 20-25=5

Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3 Polygon Y's area is what fraction of Polygon X's area?

Answers

Answer:

1/9. Because the area is measured in units squared, then you have to square 1/3 which is 19th.

Step-by-step explanation:

The area is measured in squared units. You have to square 1/3 which is 1/9. $(1)/(3) ^2= (1)/(3) ((1)/(3))$

Answer:

1/9

Step-by-step explanation:

SideY/sideX = ⅓

AreaY/AreaX = (sideY/sideX)²

= (⅓)²

AreaY/AreaX = 1/9

-4x+-6y=24 how do you solve?

Answers

So,

Let's manipulate this into the y=mx + b form.

Add 4x to both sides
-6y = 4x + 24

Divide both sides by -6
$y = (4)/(-6) x - 4$

Just use the slope to find the points you need.

The y-intercept is (0,-4).

The slope is $(4)/(-6)$ . Finding the next point:
(-6,0)

You could have also used the slope intercept method.

-4(0) - 6y = 24
-6y = 24

Divide both sides by -6
y = -4
(0,-4)

-4x - 6(0) = 24
-4x = 24

Divide both sides by -4
x = -6
(-6,0)

Solving for x

Since 6y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6y from both sides.
−4x=−6y+24

Divide each term in the equation by −4.
−4x/−4=−6y/−4+24/−4

Simplify
x=3y/2+24/−4

Divide 24 by −4 to get −6.

x=3y/2−6

x is equal to 3y/2−6

You solve y the same way you solve x:

Because −4x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4x to both sides.
6y=4x+24

Divide each term in the equation by 6.
6y/6=4x/6+24/6

Simplify
y=2x/3+24/6

Divide 24 by 6 to get 4.
y=2x/3+4

y is equal to 2x/3+4

Suppose the population ofthe united states is about 230 million.Is this number closer to ten to the seventh power or ten to the eighth power explain your reasening

Answers

10^ 7 = 10,000,000 which is 10 million
10^ 8 is 100 million
10^8 is closer, it is only 130 million away while 10^7 is 220 million away

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