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3 years ago

Factorise following expressio

Mathematics

1 answer:

Harrizon [31]3 years ago

4 0

(5x^2-15x) (-2x+6) 5x (x-3) -2 (x-3) (5x-2) (x-3)

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A quality control manager at a factory selects 7 light bulbs at random for inspection out of every

shutvik [7]

Answer:

350 lightbulbs

Step-by-step explanation:

First find the number of batches made.

20,000 divided by 400 = 50

This means that there are 50 batches in which 7 light bulbs will be selected at random to be inspected.

We can multiply the number of batches to the lightbulbs being inspected.

50 times 7 = 350

Therefore, 350 lightbulbs will be inspected.

Please tell me if I am incorrect :)

6 0

3 years ago

A take-and-bake pizza chain has several

tankabanditka [31]

Answer: 35% off coupon

Explanation:
17.90-5= 12.90

x/17.90=35/100
Cross multiply: 17.90(35)=100x
Simplify: 626.50=100x
Divide by 100: 6.265
Round: 6.27
Subtract: 17.90-6.27=11.63

8 0

3 years ago

What number must you add to complete the square?<br> x^2 + 2x = -1

Andru [333]

$\large\begin{array}{l} \textsf{You must add 1 to complete the square.}\\\\ \textsf{There is a very common special product: (square of a sum)}\\\\ \mathsf{(a+b)^2=a^2+2ab+b^2}\\\\\\ \textsf{Take the given equation:}\\\\ \mathsf{x^2+2x=-1\qquad(i)}\\\\\\ \textsf{The first term is a square (x squared)}\\\\ \textsf{The second term is a product of 2, x and 1.} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{We need to find a proper value for b, so that if we add it to}\\\textsf{the left side of the equation, we get a perfect square.}\\\\ \textsf{So,}\\\\ \begin{array}{cccccccccc} \mathsf{a^2}&\!\!\!+\!\!\!&\mathsf{2}&\!\!\!\cdot\!\!\!&\mathsf{a}&\!\!\!\cdot\!\!\!&\mathsf{b}&\!\!\!+\!\!\!&\mathsf{b^2}&=\mathsf{(a+b)^2}\\\\ \mathsf{\downarrow}&&&\!\!\!\!\!&\downarrow&\!\!\!\!\!&\downarrow&&\downarrow\\\\ \mathsf{x^2}&\!\!\!+\!\!\!&\mathsf{2}&\!\!\!\cdot\!\!\!&\mathsf{x}&\!\!\!\cdot\!\!\!&\mathsf{1}&\!\!\!+\!\!\!&\mathsf{1^2}&=\mathsf{(x+1)^2} \end{array}\\\\\\ \textsf{Just by comparing the expressions above, we can conclude that}\\\textsf{b must be equal to 1, so we get a perfect square:}\\\\ \mathsf{(x+1)^2=x^2+2x+1} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{Back to (i), adding 1 to both sides:}\\\\ \mathsf{x^2+2x+1=-1+1}\\\\ \boxed{\begin{array}{c} \mathsf{(x+1)^2=0} \end{array}} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{If you want to solve this equation for x, you will find}\\\\ \mathsf{x+1=0}\\\\ \mathsf{x=-1}\quad\longleftarrow\quad\textsf{(solution)} \end{array}$

If you're having problems understanding the answer, try seeing it through your browser: brainly.com/question/2112248

$\large\begin{array}{l} \textsf{Any doubt? Please, comment below.}\\\\\\ \textsf{Best regards! :-)} \end{array}$

6 0

3 years ago

Read 2 more answers

Determine whether the equation has no solution, one solution, or infinitely many solutions. 7(12 – 2 x ) = 4(3 – 3 x )

Alex777 [14]

Answer: The equation has one solution

Step-by-step explanation: First , open the brackets

7( 12 - 2x ) = 4 (3 - 3x )

84 - 14x = 12 - 12x

collect the like terms

84 - 12 = - 12x + 14x

72 = 2x

Therefore divide through by 2

x = 72/2

x = 36

Therefore, the equation has only one solution

3 0

3 years ago

At a local fitness center, members pay a $20 membership fee and $3 for each aerobics class. nonmembers pay $5 for each aerobics

Nostrana [21]

3 classes for nonmembers and 5 classes for members

4 0

3 years ago

Read 2 more answers