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Factor the following:
6 x^3+59 x^2-25 x-150

The possible rational roots of 6 x^3+59 x^2-25 x-150 are x = ±1/6, x = ±5/6, x = ±25/6, x = ±1/3, x = ±2/3, x = ±5/3, x = ±10/3, x = ±25/3, x = ±50/3, x = ±1/2, x = ±3/2, x = ±5/2, x = ±15/2, x = ±25/2, x = ±75/2, x = ±1, x = ±2, x = ±3, x = ±5, x = ±6, x = ±10, x = ±15, x = ±25, x = ±30, x = ±50, x = ±75, x = ±150. Of these, x = 5/3, x = -3/2 and x = -10 are roots. This gives 3 x-5, 2 x+3 and x+10 as all factors:
Answer: | 
| (3 x-5) (2 x+3) (x+10)

-125(19)

Multiply

-2375

Next time please use a calculator :)

100(3 1/2)

Turn 100 into a fraction

100/1(3 1/2)

Turn 3 1/2 into an improper fraction

100/1(7/2)

Multiply across

700/2

Simplify

350

19 easy

19 easy

sec(x) = sqrt(2)

Since sec(x) = 1/cos(x)   --->   1/cos(x) = sqrt(2)

Multiply both sides by cos(x)   --->   1  =  sqrt(2) x cos(x)

Divide both sides by cos(x)   --->   1/sqrt(2)  =  cos(x)

Since cos(x)  =  1/sqrt(2)   --->  multiply both the numerator and denominator of 1/sqrt(2) by sqrt(2)

--->   1/sqrt(2) x sqrt(2)/sqrt(2)  =  sqrt(2) / 2

Therefore,  cos(x)  =  1/sqrt(2)  =  sqrt(2)/2.

What I copied and pasted below is an answer that I put to help someone else out, almost a year ago, so I'm sorry if it's not that well said :P

I am just going to assume that you don't know how to multiply, divide, add, and subtract with fractions?

Multiplying Fractions

Just multiply across example :

1/2 x 3/4

3/8

Dividing Fractions

To divide fractions you use the recipricle (switch the fraction around) and multiply example :

2/3 divided by 1/3

2/3 x 3/1

6/3

2

Adding Fractions

To add fractions you want to make sure the fractions you're adding all have the same denominator example :

1/2 + 1/4

Multiply 1/2 by 2, to get the same denominator as 1/4

2/4 + 1/4

3/4

Subtracting Fractions

To subtract fractions you want to make sure the fractions all have the same denominators (like adding) also, if you're subtracting mixed numbers, when you borrow make sure to not add 10 the the numerator, but add the denominator instead (make sense?) example :

4 1/2 - 2 3/2

3 3/2 - 2 3/2

1

Hope this helps! :)

This is off of Google:

When two variable quantities have a constant (unchanged) ratio, their relationship is called a direct variation. It is said that one variable "varies directly" as the other. The constant ratio is called the constant of variation.

And this video from Khan Academy (along with the others listed on the left side) might help more :)

https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/core-algebra-direct_inverse_variation/v/direct-variation-1

k/4 - 4(4) =

Simplify

k/4 - 16 =

Add 16 to both sides

k/4 = 16

Divide by 4 on both sides

k = 4

There you go :)

Badbren actually is correct in a way :P But if you weren't looking for that answer,

2 + 342

Add

344

Next time I bet you could use a calculator :)

7 7/8 - 3 1/4

Turn both fractions into improper fractions

63/8 - 13/4

Find the common denominator by multiplying 13/4 by 2 over 2

63/8 - 26/8

Subtract

27/8

Since you can't simplify any more, you're done :)

So you have 5 carrots

o o o o o

and she took away 2

o o

If you cross the 2 out, count the rest :)

o o o

3

-16/19

Divide

-0.8421052631578947

Next time please use a calculator :)

(t - 8) - (t + 15)

Distribute the - sign to (t + 15)

(t - 8) - t - 15

Simplify the variables first

-8 - 15

Simplify

-23

I'm not really sure if this is solvable or if I did it correct, but there you go :)

I'm not sure if this is math, but it depends. While you are running, it may go down if you are running at a steady and comfortable pace, but right after you finish, your heart beats per minute will slowly go up

I believe this is correct, not very sure though because it's just off the top of my head :)

56/8 = 7

Next time it might be easier and faster to use a calculator :)

If you mean 3^27, that equals 7625597484987

But if not, then I'm sorry I don't know, but maybe someone else can help you :)

8 1/4 - 5 3/5

Turn both fractions into improper fractions

33/4 - 28/5

Now find a common multiple by multiplying 33/4 by 5 over 5 and 28/5 by 4 over 4

165/20 - 112/20

Subtract

53/20

Since you can't simplify any more, you're done! :)

4 + 3(3 - 16) = 95

Distribute

4 + 9 - 48 = 95

Simplify

13 - 48 = 95

Simplify again

-35 = 95

Since these two numbers do not equal each other, the answer is:

No Solution

the sales of cakes in june increased by 30 % as compared to the sales in may.the total sales in two months were RM 6900.calculate the sales of cakes in june

If the sales in May were C, then the sales in June would be 1.3C. Then we have:

C + 1.3C=6,900

2.3C=6,900 divide both sides by 2.3

C=3,000 RM sales in May.

3,000 X 1.3=3,900RM sales in June.

alright thank you

Don't we all?

Okay...

Simplify the following:
(-64)^(1/3)

(-64)^(1/3)  =  (-1×64)^(1/3)  =  (-1×2^6)^(1/3):
(-2^6)^(1/3)

(-2^6)^(1/3)  =  (-1)^(1/3) (2^6)^(1/3)  =  (-1)^(1/3)×2^(6/3)  =  (-1)^(1/3)×4:
Answer: | 
| (-1)^(1/3)×4 =4 (-1)^(1/3)

When you take a root of negative number, you are automatically taking its "complex" root. Hence, the answer:4(-1)^(1/3)

What is 4^{3 ?}

Well if you know that 4²  is 16

(4x4)

So to get the 3rd power, you take 16 and multiply by 4

4³ IS THE SAME AS 4x4x4 !

4x4=16 x 4 = 64

I did NOT include the negative signs

Also others may have a better way but i would just start from a number like 4, and multiply it 3 times, and see how close to 64 i am.