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3 years ago

How do I solve for x in x^2 - 8x + 12 = 0 using factoring?

Mathematics

2 answers:

jonny [76]3 years ago

7 0

$x^2 - 8x + 12 = 0\\
x^2-2x-6x+12=0\\
x(x-2)-6(x-2)=0\\
(x-6)(x-2)=0\\
x=6 \vee x=2$

gladu [14]3 years ago

4 0

$\rm x^2-8x+12=0 \\ \\ x^2-2x-6x+12=0 \\ \\ x(x-2)-6(x-2)=0 \\ \\ (x-2)(x-6)=0 \\ \\ \bold{I:x-2=0 \longrightarrow x=2} \\ \bold{II:x-6=0 \longrightarrow x=6}$

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mrs. johnson gave a sum of money to her son and daughter in the ratio 5:6. Her daughter received $2400. how muh did Mrs. Johnson

Tresset [83]

To find the total amount Mrs. Johnson gave away, you need to know how much she gave the son. Because the ratio of the money given is 5:6, the amount of money he received has to be 5/6 of the money the daughter received.

So, the son received 5/6 of 2400.
To find this, multiply 5/6 x 2400 to get 2000.

The daughter received 2400 and the son received 2000, so the total amount Mrs. Johnson gave away is 4400 dollars.

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3 years ago

Find the oth term of the geometric sequence 9, -18, 36, ...

Sphinxa [80]

Answer:

2304

Step-by-step explanation:

Given :-

A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

$:\implies$ CR = -18÷ 9 = -2

The 9 th term :-

$:\implies$ T_n = arⁿ - ¹

$:\implies$ T_9 = 9× (-2) ⁹ - ¹

$:\implies$ T_9 = 9 × (-2)⁸

$:\implies$ T_9 = 9 × 256

$:\implies$ T_9 = 2304

Hence the 10th term is 2304.

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3 years ago

Solve the following equation (If possible please show work)

natima [27]

Answer:

x = 1.8

Step-by-step explanation:

2 ( 4x-3) - 8 = 4-2x

Distribute

8x -6 -8 = 4- 2x

Combine like terms

8x - 14 = 4 - 2x

Add 2x to each side

8x - 14 +2x = 4-2x+2x

10x-14 = 4

Add 14 to each side

10x-14+14 = 4+14

10x = 18

Divide by 10

10x/10 = 18/10

x = 1.8

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3 years ago

Kaitlin collected donations for a local animal shelter. She collected a total of $11 on Friday. She collected 7 times that amoun

qwelly [4]

Answer:

$77

Step-by-step explanation:

Let Friday be the variable f.

Let Saturday be the variable s.

$f=11 \\ 7f=s$

Substitute 11 for f in the second equation.

$s=7(11) \\ s=77$

Therefore, Kaitlin collected $77 on Saturday

4 0

3 years ago

Read 2 more answers

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bekas [8.4K]

The pattern is dividing by 2 every time so the next 3 numbers will be 1/8, 1/16, 1/32

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