Simplify completely quantity x squared plus 4 x minus 5 over quantity 5 x squared minus 8 x plus 3 times quantity 20 x minus 12 over x squared minus 6 x minus 55 how do I simplify this?

Answers

Answer 1
Answer: x2+4x−55x2−8x+3×20x−12x2−6x−55 start by doing some factoring (x+5)(x−1)(x−1)(5x−3)×4(5x−3)(x−11)(x+5)

cancel common factors and then see whats left...

So you cancel (x+5) and 4(5x-3)?

Answer 2
Answer:

Your CORRECT answer is:

a. quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9

THIS IS 100% CORRECT!!!


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How do I write the equation 9x-6y=-72 in slope-intercept form?

Answers

The equation, 9x-6y=-72 in slope-intercept form is  y=(3)/(2)x+12 .

An equation is a mathematical statement that shows that two mathematical expressions are equal.

The standard form of equation in two variable is y= mx+b,

where y is the dependent variable

x is the independent variable

a is the intercept term

b is the slope

Given the following equation:

9x-6y=-72.......................1

Convert it into standard format y=mx+b,

Divide the equation by 6,

(9)/(6)x-y=(-72)/(6)\n\n(3)/(2)x-y=-12\n

On multiplying the equation by -1.

-(3)/(2)x+y=12\n

On solving, to represent it into standard form:

y=(3)/(2)x+12

On comparing it with standard equation,

Slope, m=3/2 and Intercept, b=12

Thus, slope-intercept form is  y=(3)/(2)x+12.

Learn more about equation, here:

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y=mx+b 72+9x=6y 12+9x/6=y 12 I is the y intercept and 9/6 is the slope. 9 being the rise or y value and 6 being the run or x value.

Divide 85 into the ratio of 2:3:5

Answers

The actual amount that needs to be divided = 85
The ratio in which the amount needs to be divided = 2:3:5
Let us assume the common ratio to be = x
Then
2x + 3x + 5x = 85
10x = 85
x = 85/10
  = 8.5
Then
The ratio in which the number 85 will be divided = 2 * 8.5:3 * 8.5:5 * 8.5
                                                                             = 17:25.5:42.5
So from the above deduction we can see that the number 85 can be divided in the ratio 17:25.5:42.5

What is the maximum number of one inch sugar cubes that could be packed in the 2 rectangular boxes? A) 200 cubes B) 540 cubes C) 630 cubes D) 740 cubes

Answers

A) 200 cubes for a big black boutta

Sam has a phone card that charges $1 to connect and $0.50 per minute. He also uses a cell phone that charges $3 to connect and $0.25 per minute. In how many minutes will calls made using the phone card and the cell phone cost the same?

Answers

i belive 8 min
1 + .50 = 1.50
1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00

3.25 3.50 3.75 4.0 4.25 4.50 4.75 5.0
ok,
Sam has a phone card that charges $1 to connect. If it is 50 cents a minute he would be able to call for 2mintues on  this phone. His or her cell phone CHARGES $3 and it is 25cents per mintue. which would be..  12mintues 
OK SORRY IF IM INCORRECT BUT, IM IN MIDDLE SCHOOL DOING THIS! 

ProblemThe formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.

Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answers

Answer:

18 litres

Step-by-step explanation:

The formula for the remaining volume of fuel in a car's tank is expressed as;

V = I - E.D

where;

I is the initial volume of fuel,

E is the fuel efficiency, and;

D is the distance traveled.

Given

I = 30 litres

1m³ = 1000L

x = 30L

x = 30/1000

x = 0.03m³

I = 0.03m³

E = 100cm³/km

E = 100*10^-6m³/km

E = 10^-4m³/km

E = 10^-4m³/1000m

E = 10^-7m²

D = 120km

Convert km to metres

D = 120km = 120,000m

Substitute the results into the formula;

V = I - E.D

V = 0.03 - (10^-7)(120,000)

V = 0.03 - 0.012

V= 0.018 m³

Convert 0.018 m³ to litres

Since 1 m³ = 1000L

0.018 m³ = y

cross multiply;

y  = 1000 * 0.018

y = 18 litres

Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres

SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT
4m^2-1=-23

Answers

4m^2-1=-23
⇒ 4m^2= -23+1
⇒ 4m^2= -22
⇒ m^2= -22/4
⇒ m^2= -11/2
⇒ m is undefined for all m∈R (for m^2 is always ≥0 for all m∈R)

Final answer: 
m is undefined for all m∈R~
4m^2 -1 = -23 Add 1 to both sides 4m^2 = -22 then divide both sides by 4. m^2 = -11/2. Square root both sides. m = ((square root of 22)/2) times i