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stiks02 [169]
2 years ago
11

Question

Mathematics
2 answers:
lbvjy [14]2 years ago
6 0

Answer:

\orange{ \boxed{ \bold{(5x - 3)(x - 3)}}}

Step-by-step explanation:

By factoring the given expression,

5x² - 18x + 9 is the same as (5x-3)(x-3)

Makovka662 [10]2 years ago
3 0

Answer:

(5x – 3)(x - 3)

Step-by-step explanation:

Break the expression into groups

=\left(5x^2-3x\right)+\left(-15x+9\right)

Factor out

=x\left(5x-3\right)-3\left(5x-3\right)

Factor out common terms

=\left(5x-3\right)\left(x-3\right)

Hence, Answer is (5x-3)(x-3)

<u><em>~Lenvy~</em></u>

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What mistake did she make?
tiny-mole [99]

Step-by-step explanation:

According to the pythagrean equation, it should be

AC^2 = AB^2 + BC^2\\

8² = 6² + BC²

64 = 36 + BC²

BC² = 28

BC = ✓28 = 5.29

7 0
3 years ago
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to
Reptile [31]

Answer:

12

Step-by-step explanation:

If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

25 * 3 = 75

87 - 75 = 12

5 0
3 years ago
I really need help! This is last minute and its 1 am. I'm tired so I'm going to leave it to you guys to solve my problems and pr
Illusion [34]

Answer:

<h2><u>question 1</u></h2>

n^{2} - 20n -96 = 0

use product and sum method

product = -96

sum = -20

numbers needed = ( -24 , 4)

n - 24 = 0

n + 4 = 0

hence <u>n = 24 and n = -4 </u>

<u></u>

<h2><u>Question 2 </u></h2>

<u />x^{2} + 12 x = 48<u />

in the form ax^{2}  +bx +c = 0

= x^{2} +12x - 48

make use of the formula :

\frac{-b+-\sqrt{b^{2} -4ac} }{2a}

replace values to make 2 equations :

1.\frac{-12+\sqrt{12^{2} -4*1*-48} }{2*1} = 3.17

2.\frac{-12-\sqrt{12^{2} -4*1*-48} }{2*1} = -15.2

hence <u>x = 3.17 and x = -15.2</u>

<u />

<h2><u>Question 3 </u></h2>

<u />x^{2} -14x+40=0<u />

use product and sum method

product = 40

sum = -14

numbers needed = (-10 , -4)

x - 10 = 0

x - 4 = 0

hence<u> x = 10 and x = 4</u>

<u />

<h2><u>Question 4 </u></h2>

<u />5b^{2} -20b-18 = 7<u />

in the form ax^{2}  +bx +c = 0

this becomes 5b^{2} -20b-18-7

= 5b^{2} -20b-25

can simplify by 5

= b^{2} -4b-5 =0\\

use product and sum method

product = -5

sum = -4

numbers needed (-5 , 1)

b-5 = 0

b + 1 = 0

hence <u>b = 5 and b = -1</u>

5 0
4 years ago
Read 2 more answers
Is 4,582 less than 4,862?
Orlov [11]
Yes it is less than 4,862
5 0
3 years ago
Read 2 more answers
Now, look at the set of integers. Complete the table for the closure property if integers under the four operations.
Kisachek [45]

Answer:

See below.

Step-by-step explanation:

Addition: closed

Example: -5 + 10 = 5, and -5, 10, and 5 are all integers

Subtraction: closed

Example: 10 - 8 = 2, and 10, 8, and 2 are all integers

Multiplication: closed

Example: -4 * 7 = -28, and -4, -7 and -28 are all integers

Division: not closed

Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers

The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.

The set of integers is not closed under division because a division of integers does not always result in an integer.

8 0
3 years ago
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