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aleksley [76]
3 years ago
10

Solve the equation by completing the square: 3x^2 – 9x = -6

Mathematics
2 answers:
AVprozaik [17]3 years ago
6 0
So my step one would be to add the six over and get 3x squared -9x+6=0, then divide by 3 to get x squared-3x+2=0. The next step is seeing what two numbers multiply to 2 but also add to negative three. The two numbers are -1 and -2. So then you are going to make two equations, one being x-1=0 and the other being x-2=0. Solve both to get X=1 and X=2, check your answers in the original equation. Hope this helps!
aleksandrvk [35]3 years ago
6 0
3x^2 - 9x = -6....divide everything by 3

x^2 - 3x = -2
x^2 - 3x + 2.25 = -2 + 2.25
(x - 1.5)^2 = 0.25
x - 1.5 = (+-) sqrt 0.25
x = 1.5 (+-) 0.5

x = 1.5 + 0.5 = 2 <===
x = 1.5 - 0.5 = 1 <===
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A circuit is supplied with 24 volts and its load offers a total resistance of 400 ohm. What’s the total circuit power?
USPshnik [31]

Answer:

P = 1.44 Watts

Step-by-step explanation:

We know that the relation between voltage and current in a simple circuit with a resistor is

V = I.R

Where

V = the voltage of the source

I = current of the circuit

R = resistance

The power is defined as

P = V.I

Which is the same as

P = V.(V/R)

P = (24 v)^2 / (400 ohm)

P = 1.44 Watts

8 0
4 years ago
Can someone please help
tankabanditka [31]
Correct answer is D :)
3 0
3 years ago
Read 2 more answers
Oliver streams movies through a company that charges $4.99 per month and $1.99 per
Zinaida [17]

Answer:

4.99 + 1.99m = T. Dependent Variable = T (Total Cost), Independent Variable = M (Movies) Now, for the equation we have to input 5 for the m because he watched 5 movies. So, 4.99 + 1.99(5) = T Well, 1.99 x 5 is 9.95 so our next step is this 4.99 + 9.95 = T and that  added up together would be 14.94 dollars. $14.94 = T

Step-by-step explanation: I hope that this helps you!

5 0
3 years ago
F÷−32=−31<br><br> whats the answer?
Archy [21]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-32" was replaced by "/(-32)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f/(-32)-(-31)=0

Step by step solution :

STEP

1

:

f

Simplify ———

-32

Equation at the end of step

1

:

f

——— - -31 = 0

-32

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -32 as the denominator :

-31 -31 • -32

-31 = ——— = —————————

1 -32

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

f • -1 - (-31 • 32) 992 - f

——————————————————— = ———————

32 32

Equation at the end of step

2

:

992 - f

——————— = 0

32

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

992-f

————— • 32 = 0 • 32

32

Now, on the left hand side, the 32 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

992-f = 0

Solving a Single Variable Equation:

3.2 Solve : -f+992 = 0

Subtract 992 from both sides of the equation :

-f = -992

Multiply both sides of the equation by (-1) :

f = 992

the answer is f = 992

8 0
3 years ago
Read 2 more answers
A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's ar
Nataliya [291]
Width = W
Length = 3 times w = 3W

Area = length x width = 3W * W = 3W^2
8 0
3 years ago
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