Find the least common denominator for these two rational expressions

Answers

Answer 1

Answer:

Answer: The LCD is 5y.

I hope this helps!

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It is given that -3 is one of the roots of the quadratic equation x square -4x-h=0.find the value of h

Answers

Since -3 is one of the roots, that means it would satisfy the equation.

x^2 - 4x - h = 0, substitute x = -3.

(-3)^2 -4(-3) - h = 0
9 + 12 - h = 0
21 - h = 0
21 = h.
h = 21.
That's the value of h. Cheers.

How do you factorise 14x -21xy

Answers

Simplifying 14x + -21xy

Factor out the Greatest Common Factor (GCF), '7x'. 7x(2 + -3y)

Final result:
7x(2 + -3y)

that is the answer on how to do it

You need to find the common number/letter in order to factorise and it should be like this:
x(14-21y)
Hope it helped...

How to find exact value of tan 75°

Answers

$tan \alpha = (sin \alpha )/(cos \alpha ) \n--------\n\ntan75^0= \frac{\big{sin75^0}}{\big{cos75^0}} \n\nsin75^0=sin(45^0+30^0)=sin45^0\cdot cos30^0+sin30^0\cdot cos45^0=\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = ( √(2) )/(2) \cdot ( √(3) )/(2) + (1)/(2) \cdot( √(2) )/(2) = ( √(6)+ √(2) )/(4)$

Help please !! It is due tomorrow

Answers

Just substitute..

y=3x for X

y=3(-1)

y=3(0)

y=3(1)

y=3(2)

y=3(3)

then what you get for y just plot it

X^2+5x-104=0 solve quadratic equations

Answers

$x^2+5x-104=0\n\na=1;\ b=5;\ c=-104\n\n\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=5^2-4\cdot1\cdot(-104)=25+416=441;\ \sqrt\Delta=√(441)=21\n\nx_1=(-5-21)/(2\cdot1)=(-26)/(2)=-13;\ x_2=(-5+21)/(2\cdot1)=(16)/(2)=8\n\nAnswer:x=-13\ or\ x=8.$

You first have to factor and get (x-8)(x+13)=o and set them equal to zero x-8=0 x=8 x+13=0 x=-13

A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.

Answers

The required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Given that,
The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the price of paperback be x and price of hardback books be y,
According to the question,
x = y - 11 - - - (1)
53x + 45y = 784.10 - - - (2)
From equation 1
53 [y - 11] + 45y = 784.10
y = $13.95

Now,
y = 13.95 - 11
y = $2.95

Thus, the required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16763389

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p = h - 11
53p + 45h = 784.10

just a matter of subbing and solving...
53(h - 11) + 45h = 784.10
53h - 583 + 45h = 784.10
98h = 784.10 + 583
98h = 1367.10
h = 1367.10/98
h = 13.95

p = h - 11
p = 13.95 - 11
p = 2.95

so paperbacks (p) are 2.95 a piece and hardbacks (h) are 13.95 a piece

Other Questions

Graph with a line going through points zero comma two point five and four comma two point five.Select the equation of the line that passes through the point (3, -1) and is parallel to the line on the graph. a) y = -1 b) y = 3 c) y = x -1 d) y = 3x - 1 *graph is attached for 1st question* Graph with a line going through points negative 2 comma zero and 0 comma negative one. Select the equation of a line that is perpendicular to the line on the graph and passes through the point (-1, 2). y = 2x + 4 y = - 2x + 2 y = - 1 over 2 x + 2 y = 2x - 1

If x = 2, find the value of 3x^3 - 3x - 2.

Increase £680 by 15%

Solve for m. -7m- 6 = -20