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3 years ago

Solve each equation. 8x2 - 24 = 3x2 - 9

Mathematics

2 answers:

blondinia [14]3 years ago

8 0

Answer: The answer is $x=\pm\sqrt{3}.$ .

Step-by-step explanation: The given equation is

$8x^2-24=3x^2-9.$

We are given to solve the above quadratic equation. Since there is no term containing 'x', so we will be using the square root method to solve the equation.

The solution is as follows:

$8x^2-24=3x^2-9\\\\\Rightarrow 8x^2-3x^2=-9+24\\\\\Rightarrow 5x^2=15\\\\\Rightarrow x^2=3\\\\\Rightarrow x=\pm\sqrt{3}.$

Thus, the required solution is $x=\pm\sqrt{3}.$

MariettaO [177]3 years ago

5 0

Ok I'm not sure on how I would do the last bit of the equation but here's what I've got;

Answer 1=                    -8 = -3

Answer2=                    -8 - 3= -11

Not 100% sure on this. so, I'm sorry if its wrong

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Pls help me, I really dont understand

Stella [2.4K]

Answer:

-2.5x-.5

$y=\frac{2}{3}x-1$

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

$\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5$

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

$y=\frac{2}{3}x-1$

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

7 0

3 years ago

Solve for x. 80 22 40 12

kari74 [83]

Use the Pythagorean theorem to solve this problem. So, 81+x^2=1681. ( Pythagorean theorem: a^2+b^2=c^2). x^2=1600. x=40.

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3 years ago

Find the gross pay per paycheck based on salary

BaLLatris [955]

Answer:

Where is the info so we can show you

Step-by-step explanation:

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3 years ago

Morgan moves no more than 26 of her sheep and goats into another field. Fewer than 14 of her animals are sheep.Let s represent t

GenaCL600 [577]

Let
s-------> represent the number of sheep
g-------> represent the number of goats

we know that
1) Morgan moves no more than 26 of her sheep and goats into another field
so
(s+g) ≤ 26------> inequality 1

2) Fewer than 14 of her animals are sheep
so
s < 14-------> inequality 2

therefore

the answers are
B.) s < 14
D.) s + g ≤ 26

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3 years ago

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juin [17]

Ummm I'm not sure but let me do the math and I'll tell u :)

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