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lubasha [3.4K]
2 years ago
12

What is the simplified form of the quantity 4 x squared minus 25 over the quantity 2x minus 5 ?

Mathematics
2 answers:
Alenkasestr [34]2 years ago
7 0

Answer:

  B.  2x + 5, with the restriction x ≠ five over 2

Step-by-step explanation:

The given expression is the difference of squares, so factors as ...

  the product of the quantity 2x plus 5 and the quantity 2x minus 5 over the quantity 2x minus 5

You will note that the numerator and denominator have a common factor:

  the quantity 2x minus 5

Factoring that out gives ...

  2x + 5, with the restriction x ≠ five over 2 (x is restricted from being a value that makes the denominator zero.)

_____

<em>Comment on the form of the answer</em>

Since you have written your math expressions using words instead of symbols, we assume you can read them more easily that way. So, we have provided the explanation in the form you can most easily understand. (Personally, I prefer math symbols. They are more compact and tend to be less ambiguous.)

navik [9.2K]2 years ago
5 0

Answer:

B) 2x + 5, with the restriction x ≠ five over 2

Step-by-step explanation:

The given verbal expression is " 4 x squared minus 25 over the quantity 2x minus 5."

Now let's convert this to algebraic expression, we get

\frac{4x^2 - 25}{2x - 5}

Now let's factorize the numerator.

4x^2 - 25\\= (2x)^2 - 5^2\\= (2x -5)(2x + 5)\\

We used the identity (a^2 - b^2) = (a -b)(a+b)

= \frac{(2x - 5)(2x +5)}{2x - 5}

Here we have (2x - 5) both in the numerator and in the denominator, we can cancel out.

= (2x + 5) where x ≠ 5/2

So the answer is B) 2x + 5, with the restriction x ≠ five over 2

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A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that nor
maw [93]

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

6 0
2 years ago
There are 24 students in a class. if 16 are boys, what fraction of the students are boys?
pshichka [43]

Answer:

2/3 is the fraction of students who are boys.

Step-by-step explanation:

First of all, a fraction consists of two parts: The denominator and the numerator. The denominator is the whole, while the number is a part of the whole (and sometimes above).

1. Since in your question, there are 24 students in total in the class, the denominator will be 24.

2. You said that 16 of them are boys, so 16 is the numerator.

3. In a fraction, it will be 16/24.

4. 16/24 can be simplified into 2/3 since both 16 and 24 can be divided by 8.

So our final answer is 2/3.

3 0
1 year ago
The answer for this math problem
laiz [17]
Hi, We have a isosceles triangle.

Then,

There is two angles = (2x +2)°

As the sum of angles = 180° To the any triangle.

Then we wiil stay with:

(2x+2)° + (2x+2)° +(3x+1)° = 180°

Canceling °

2x+2+2x+2+3x+1=180

7x +5 = 180

7x = 180-5

7x = 175

Passing 7 dividing 175

x = 175/7

x = 25

This would be your answer!
7 0
2 years ago
Maria works as a part- time waitress and earns $30 per day plus 2% of all sales of food and drinks during the day
ollegr [7]

Answer:

y = 30 + 0.02x

Step-by-step explanation:

Required

Write an equation to present her daily earnings?

Let daily sales be represented by x and daily earnings be represented by y.

y is calculated as thus;

y = Earnings + Commission * Sales

y = 30 + 2\% * x

Convert percentage to decimal

y = 30 + 0.02 * x

y = 30 + 0.02x

Hence, her daily earnings is y = 30 + 0.02x

5 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0
3 years ago
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