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Harlamova29_29 [7]
3 years ago
12

What are the zeros of the function represented by the quadratic expression 2x^2-5x-3

Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0
 2x2-5x-3=0 

Two solutions were found :

 x = -1/2 = -0.500

 x = 3

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(2x2 - 5x) - 3 = 0

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  2x2-5x-3 

The first term is,  2x2  its coefficient is  2 .
The middle term is,  -5x  its coefficient is  -5 .
The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -3 = -6 

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -5 .

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Choose whether it's always, sometimes, never 
Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

1)

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If a\in Z\text{ and }b\in Z, then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

2)

A polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3)

If a polynomial divided by a polynomial  then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{f(x)}{g(x)}=x^2+5, which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{g(x)}{f(x)}=\frac{1}{x^2+5}, which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

4)

As we know a polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0
3 years ago
Read 2 more answers
Help pls ill mark brainliest
Naily [24]

Answer:

A. 2,310 sq ft

Step-by-step explanation:

<u>R</u><u>e</u><u>c</u><u>t</u><u>e</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>b</u><u>e</u><u>l</u><u>o</u><u>w</u><u>:</u>

  • A = l × b
  • A = 74 × 15
  • A = 1,110ft

<u>Rectangle Above</u><u>:</u>

  • A = l × b
  • A = 50 × 24
  • A = 1,200ft

<u>A</u><u>r</u><u>e</u><u>a</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>P</u><u>l</u><u>a</u><u>y</u><u>g</u><u>r</u><u>o</u><u>u</u><u>n</u><u>d</u><u>:</u>

  • 1,110ft + 1,200ft
  • 1,310 sq ft (A)
3 0
2 years ago
The function d(x)=1375-110 represents the distance a high speed train is from its destination after x hours. How long does the t
aalyn [17]
D(x)=1375-110x
when it reaches 0 it has reached destination
0=1375-110x
add 110x to both sides
110x=1375
divide both sides by 110
x=12.5
answer is 12.5 hour
6 0
3 years ago
What is the slope of the line that contains these points?
svp [43]
(15,-10) (17,2)
(2+10)/(17-15)= 12/2 = 6
The slope is 6
5 0
3 years ago
Read 2 more answers
(Look at the image attached!)
Romashka [77]

Answer:

180-80-55

then you got the answer

6 0
3 years ago
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