3x²+5x-2=0 by any method

Answers

Answer 1

Answer: 3x²+5x=2

x(3x+5)=2

x=2 or 3x+5=2

x=3/5

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the sum of two numbers is 13 2 times the first number minus 3x and the second number is 1 if you let X stand for the first number and why for the second number what are the two numbers

Answers

If we let x be the first number and y be the second, we have (x + y) =13 and (2x - 3y) = 1. From the first equation, we have x = (13- y). Substituting this into the second one, we have 2(13 - y) - 3y = 1. Distributing the equation and re-arranging it, we now have (-5y) = (-26). Dividing both sides by -5, we have y = 5. Now x = (13 - y) = 8. Therefore, the two numbers are 5 and 8.

Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8) 16(x2 + 2)(x2 – 2) 4(4x4 – 8)

Answers

The given expression is $16x^(4)-64.$

It can be written as $16x^(4)+16x-16x-64.$ [ we can add or subtract the same thing]

The expression can be factored as difference of two squares

$16x^(4)-64=[4x]^(2)-(8)^(2)=(4x^(2)+8)(4x^(2)-8)$

The common factor of the two terms is 16

WE can take 16 as common factor: $16x^(4)-64=16[x^(2)-2^(2)]$

= $16(x^(2)+2)(x^(2)-2)$

Options 1 ,3,4 are the equivalent expressions.

16x^4 - 64

equivalent expressions are :
16x^4 + 16x - 16x - 64
(4x^2 + 8)(4x^2 - 8)
16(x^2 + 2)(x^2 - 2)

Mia hired a moving company. The company charged \$500$500dollar sign, 500 for its services, and mia gives the movers a 16\%16%16, percent tip. How much does mia tip the movers?

Answers

Mia gives $80 as tip to the movers.

Explanation

The moving company charged $500 for its service.

Suppose, the amount of tip is $x$ dollar, which is 16% of the total charge.

So, the equation will be.....

$(x)/(500)*100\% = 16\%\n \n (x)/(5)=16\n \n x=5*16=80$

So, the amount of tip Mia gives the movers is $80

Answer:

$80

Step-by-step explanation: Khan Academy

What is the middle product of (-2x 1)(-3x - 5)? User: Factor 64a2 - 48a + 9.

Answers

What is the middle product of (-2x 1)(-3x - 5)
= (-2x -1)(-3x - 5)
= 6x^2 + 3x + 10x + 5
= 6x^2 + 13x + 5

So the middle product is 13x.

Factor 64a2 - 48a + 9.
64a2 - 48a + 9
(8a - 3) (8a - 3)

The total amount y (in dollars) in your savings account after buying x video games is represented by y=90-10x. You have $40 in your account after buying video games. How many video games did you buy?

Answers

5 video games bought.

Explanation:
Step one) identify all variables.
> y = money in bank acc AFTER buying (x) video games.
Step two) y = $40
Step three) substitute
> 40 = 90 - 10x.
Step Four) solve for x
> subtract 90 both sides.
-50 = -10x
DIVIDE by -10 on both sides ( to isolated x)
This equals 5 = x
x is number of video games bought meaning >> 5 video games bought :))

Final answer:

The equation y = 90 - 10x indicates the amount left in the savings account after buying x number of video games. Plugging in 40 for y and solving for x, it is found that 5 video games were purchased.

Explanation:

To find out the number of video games purchased, you need to solve the equation y = 90 - 10x for 'x' when 'y' is 40. This equation represents the total amount in your savings account (y) after buying x number of video games.

Plug in 40 for 'y' in the equation:
40 = 90 - 10x
Subtract 90 from both sides of the equation:
-50 = -10x
Divide both sides by -10:
5 = x

So, you bought 5 video games to have $40 left in your savings account.

Learn more about Solving Equations here:

brainly.com/question/18322830

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The vertices of a triangle are listed below.Q(-3,7), R(8,7), S(-6,-5)
Which of the following correctly classifies the triangle?

Answers

This question is a bit tedious. In order to answer it, we will have to find the distance between each vertex using the distance formula.

d² = (x - x)² + (y - y)² Distance Formula
d² = (-3 - 8)² + (7 - 7)² Substitute for points Q (-3,7) and R (8,7)
d² = -11² + 0² Collect like terms
d² = 121 Square
d = 11 Take the square root of both sides to cancel out the exponent on the left

The distance between points Q and R is 11. Now let's use the formula on the rest of the points.

R and S

d² = (8 + 6)² + (7 + 5)² Keep in mind that when you subtract a negative, it becomes a positive.
d² = 196 + 144
d² = 340
d = 18.4

Q and S

d = 12.4

This is scalene triangle, because none of the sides are equal. I was a bit rushed on this one, so you might want to check my math.

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