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3 years ago

Simplify the expression: x^2+3x-28/x^2-7x+12. Show your work.

Mathematics

1 answer:

Sergio [31]3 years ago

6 0

(x+7)/(x-3)

All you have to do is write the equation, factor, and cancel like terms.

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Replace ∗ with a monomial so that the derived expression may be represented as a square of a binomial: * +14b+49

anyanavicka [17]

Answer:

* = b²

Step-by-step explanation:

You know that the square of a binomial is of the form ...

(x + y)² = x² + 2xy + y²

Matching given terms, we have ...

49 = y²

2xy = 14b

Solving the first of these relations for y, we have

y = √49 = 7

Putting that in the second relation and solving for x, we find ...

2x·7 = 14b

14x = 14b

x = b

Then the first term of the expansion, x², will be b².

The missing term is b².

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3 years ago

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V125BC [204]

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3 years ago

Consider the relation y = −8|x + 3| − 9. what are the coordinates of the vertex? (−3, 9) (−3, −9) (3, −9) (3, 9)

german

By simple substitution on the left side and on the right side of the given equation, we have to
For coordinates (-3,-9)
-9=−8|-3+3|−9
-9=−8|0|−9
 -9=−9
Therefore, it is demonstrated that the coordinates of the vertex is
(-3,-9)

7 0

3 years ago

How to graph an exponential function

irina1246 [14]

Step-by-step explanation:

Exponential function is given by general form $y=ab^x$

Where a and b are constants.

say a=1 and b=2 then we can write function as :

$y=1*2^x$

or $y=2^x$

To graph this or any exponential function, we just need to find some points then join them by a curved line.

Like plug x=0, 1, 2,... into above function and find points:

plug x=1

$y=2^x=2^1=2$

Hence point is (1,2)

Find more points similarly then graph them to get the graph as shown below:

7 0

3 years ago

X Find the value of x. Show 3 10 your work.

pickupchik [31]

Step-by-step explanation:

Hello, there!!!

Let ABC be a Right angled triangle, 

where, AB = 3

BC= 10

and AC= x

now,

As the triangle is a Right angled triangle, taking angle C asrefrence angle. we get,

 h= AC = x

p= AB = 3

b= BC= 10

now, by Pythagoras relation we get, 

 $h = \sqrt{ {p}^{2} + {b}^{2} }$ 

 $or ,\: h = \sqrt{ {3}^{2} + {10}^{2} }$ 

by simplifying it we get, 

h = 10.44030

Therefore, the answer is x= 10.

Hope it helps...

7 0

3 years ago