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never [62]
3 years ago
11

X to the power of 3 - 7x + 6 factorise please whole step by step​

Mathematics
1 answer:
Over [174]3 years ago
8 0

Answer:

(x     +  3)(x   -  2)(x - 1)

Step-by-step explanation:

{x}^{3}  - 7x + 6

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

(x - 1)

is a root.

We can divide the top equation by the root (x-1). Our new equation is

( {x}^{2}   +  x - 6)

Now we can factor this completely

(x + 3)(x - 2)

So this equation in factored form is

(x  + 3)(x - 2)(x - 1)

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Rewrite the expression without parentheses.<br> 13m−​(−9m−4​)
svetoff [14.1K]

Answer:

22m+4

Step-by-step explanation:

Let's break it down:

13m+-1(-9m-4)

13m+(9m+4)

22m+4

7 0
2 years ago
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The two spinners below are spun. Find the probability of spinning a 4 and a C.
r-ruslan [8.4K]

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 7, 8 }

n ( S ) = 8

Let A be the event of getting 4,

A = { 4 }

n ( A ) = 1

P ( A )

= n ( A ) / n ( S )

= 1 / 8

Therefore, the probability of spinning a 4 is 1 / 8.

S = { A, B, A, C, A, B }

n ( S ) = 6

Let Y be the event of getting C,

Y = { C }

n ( Y ) = 1

P ( Y )

= n ( Y ) / n ( S )

= 1 / 6

Therefore, the probability of spinning a C is 1 / 6.

3 0
3 years ago
One number is 4 times another number and their product is 64. How would that be written in equation form?​
Likurg_2 [28]

X x 4 *equal sign* 64 hope this helps. :)

7 0
3 years ago
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Solve the inequality.<br><br> 3≤7+g
Anastaziya [24]

Answer:

g-4

Step-by-step explanation:

first subtract 7 from both sides

then you will get -4\leqg

which is the same as g\geq-4

you just have to switch them

6 0
2 years ago
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Latasha can read 30 pages of economics in an hour. She can also read 20 pages of sociology in an hour. She spends 4 hours per da
stiv31 [10]

Answer:

Her opportunity cost of reading 10 pages of sociology is 15 pages of Economics

Her opportunity cost of reading 18 pages of economics is 12 pages of sociology.

Step-by-step explanation:

For economics, Latasha reads 1 page in 2 mins (gotten by dividing the number of pages by the time taken to read it i.e 30 pages in 1 hr or 60 mins)

Her sociology is read 1 page in 3 mins (20 pages read in 60 mins)

To read 10 pages of sociology will take 30 mins. She will read 15 pages of Economics in the same time which is the opportunity cost.

In the same vein, It will take her 36 mins to read 18 pages of Economics at the same rate. This is the opportunity cost of reading 12 pages of Sociology (which she reads at 1 page in 3 mins).

8 0
3 years ago
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