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yarga [219]
3 years ago
11

Simplify the expression, if possible. State the excluded values,if any.

Mathematics
1 answer:
Mrac [35]3 years ago
5 0
5.            5x-5 
.       ------------------
.        10x²-25x+15

We can first factor 10x²-25x+15, it will turn into (2x-3) and (5x-5) 
  (if you need help on factoring, please leave a comment)

So the question will be like:
.            5x-5
.        ---------------                  
.       (2x-3)(5x-5)               The factored answer is the same as the original           .                                         number, so the factor answer can replace it.

We know 5x-5 on the top and 5x-5 on the bottom is the same, so they can cancel out, and it will become:
2x-3=0 

Then solve
2x-3=0 
2x=3
x=2/3

6.

Hope this helps! Please give me the Brainliest answer if you like it! If you have further questions, you can leave a comment or add me as a friend!

(if you need more explanations, please leave a comment)



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Please me help i tired to solution and its always wrong help me please
Dimas [21]

Answer:

39ft by 34ft

Step-by-step explanation:

4 and 1/3 is equal (by doing 4*3+1)to 13/3 which is equal (by doing 13/3 *3/3)to 39/9 inches which according to the conversion is equal to 39ft

3 and 7/9 is equal (3*9+7)to 34/9 inches which when converted is 34ft

7 0
3 years ago
Help me with this one
Artist 52 [7]

9514 1404 393

Answer:

  "complete the square" to put in vertex form

Step-by-step explanation:

It may be helpful to consider the square of a binomial:

  (x +a)² = x² +2ax +a²

The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...

  2a = 1

  a = 1/2

That means we can write ...

  (x +1/2)² = x² +x +1/4

But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:

  x^2+x+1\\\\=(x^2+x+\frac{1}{4})+\frac{3}{4}\\\\=(x+\frac{1}{2})^2+\frac{3}{4}

_____

Another way to consider this is ...

  x² +bx +c

  = x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*

  = (x +b/2)² +(c -(b/2)²)

for b=1, c=1, this becomes ...

  x² +x +1 = (x +1/2)² +(1 -(1/2)²)

  = (x +1/2)² +3/4

_____

* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).

5 0
3 years ago
8.652<br> 10)<br> 1.2<br> Help please
icang [17]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Construct a quadratic polynomial whose zeroes are negatives of the zeroes of the
sp2606 [1]

Given:

The given quadratic polynomial is :

x^2-x-12

To find:

The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.

Solution:

We have,

x^2-x-12

Equate the polynomial with 0 to find the zeroes.

x^2-x-12=0

Splitting the middle term, we get

x^2-4x+3x-12=0

x(x-4)+3(x-4)=0

(x+3)(x-4)=0

x=-3,4

The zeroes of the given polynomial are -3 and 4.

The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.

A quadratic polynomial is defined as:

x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}

x^2-(3+(-4))x+(3)(-4)

x^2-(-1)x+(-12)

x^2+x-12

Therefore, the required polynomial is x^2+x-12.

4 0
3 years ago
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
ollegr [7]

Answer:

from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

Step-by-step explanation:

Given that;

x^{bar} = 6.5 gpm

μ = 5 gpm

n = eight runs = 8

standard deviation σ = 1.9 gpm

Test statistics;

t = (x^{bar} - μ) / \frac{s}{\sqrt{n} }

we substitute

t = (6.5 - 5) / \frac{1.9}{\sqrt{8} }

t = 1.5 / 0.67175

t = 2.23

the degree of freedom df = n-1 = 8 - 1

df = 7

Now, from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

3 0
2 years ago
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