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3 years ago

Factorise 12 raised 2 minus 7x + 1

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Answer:

(4x - 1)(3x - 1).

Step-by-step explanation:

I think you mean 12x^2 - 7x + 1

= 12x^2 - 4x - 3x + 1

= 4x(3x - 1) -- 1(3x - 1)

= (4x - 1)(3x - 1).

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

Answer with work please

IceJOKER [234]

Use slander and search textbook up it will show up with answers

4 0

2 years ago

-the equations x-y=-14 and -x-y=14 what is the number of solutions? A.) no solutions B.) infinitely many solutions C.) one solut

Yuki888 [10]

Answer:

The answer is C one solution

Step-by-step explanation:

x-y=-14

-y=-x-14 bring x to the other side

y=x+14 divide everything by -1

-x-y=14

-y=x+14 bring x to the other side

y=-x-14 divide everything by -1

6 0

3 years ago

Can someone help?<br> Its for a test

Elena L [17]

Answer:

6x = 58 - 1.6

x = 9.4

Step-by-step explanation

4 0

3 years ago

Read 2 more answers

I'd really appreciate it if you'd show your work for the question, it'd be lots of help! I'll give Brainliest! :)

Sonbull [250]

Let the number of ride tickets = x tickets.

And the total cost is given by y.

Fair charges $1.25 per ticket for the rides.

Johnny bought = 25 tickets.

Therefore, cost of 25 tickets @ $1.25 per ticket = 25 × 1.25 = $31.25

Total amount spent at the fair = $43.75.

Fair admission charge = Total amount spent - Cost of 25 tickets = 43.75 - 31.25 =$12.50.

Therefore, total cost of the fair = Fix fair admission charge + total cost of x number of tickets @1.25 each.

y = 12.50 + 1.25x.

Therefore, y = 12.50 + 1.25x is the linear equation that can be used to determine the cost for anyone who only pays for x ride tickets and $ 12.50 fair admission.

8 0

3 years ago

Factorise 12 raised 2 minus 7x + 1​

Factorise 12 raised 2 minus 7x + 1