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Marizza181 [45]
2 years ago
9

Can someone simplfy to me why we use different formula in some equations for sin cos tan? Like in some instances we swap variabl

es and in others we just divide and stuff and I don't understand why we do that ​
Mathematics
1 answer:
Tom [10]2 years ago
8 0
It does get confusing but there are ways to try & differentiate what is divided & what multiplied or added & subtracted when using variables wording plays a big part in what needs done. Depending what the equation is asking for. Pay close attention to the wording in each one
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For what values of a and b are x+1 and x+2 factors of x3 – ax2 – bx –8? Write down the other factor.
emmainna [20.7K]
<h2>For a = 1 and b = 10 x+1 and x+2 factors of  x³-ax²-bx-8 = 0</h2><h2>Other factor is (x-4)</h2>

Step-by-step explanation:

We have

                 x³-ax²-bx-8 = 0

Its factors are x+1 and x+2

That is x = -1 and x = -2 are its roots

Substituting x = -1

               (-1)³-a(-1)²-b(-1)-8 = 0

                -1 - a + b - 8 = 0

                      b - a = 9 ---------------------eqn 1

Substituting x = -2

               (-2)³-a(-2)²-b(-2)-8 = 0

                -8 - 4a + 2b - 8 = 0

                      2b - 4a = 16 ---------------------eqn 2

eqn 1 x -2

                      -2b + 2a = -18 ---------------------eqn 3

eqn 2 + eqn 3

                      -2a = -2

                          a = 1

Substituting in eqn 1

                        b - 1 = 9

                         b = 10

For a = 1 and b = 10,  x+1 and x+2 factors of  x³-ax²-bx-8 = 0

The equation is  x³-x²-10x-8 = 0

Dividing with x + 1 we will get

                   x³-x²-10x-8 = (x+1)(x²-2x-8)

Dividing (x²-2x-8) with x + 2 we will get

                  x²-2x-8 = (x+2)(x-4)

So we have

               x³-x²-10x-8 = (x+1)(x+2)(x-4)

Other factor is (x-4)

8 0
3 years ago
Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)
nirvana33 [79]
The point slope form or the equation of a line is :

y - y1 = m(x - x1)


First find the slope between the two coordinates:

m = y2-y1/x2-x1

m = 0-4 / 2-(-6)

m = -4 / 8

m = - 1/2

Now create the point slope form / equation of a line:

y - 4 = - 1/2(x - (-6))

y - 4 = - 1/2(x + 6)

OR you can have

y - 0 = - 1/2(x - 2)

8 0
3 years ago
Read 2 more answers
Find the product and EXPLAIN the process and reasoning. 0.67 × 0.3 =
telo118 [61]

Answer:

0.201

Step-by-step explanation:

0.201 is the answer because 0.67

                                                  x 0.3

                                                  ---------

                                                  0.201

4 0
3 years ago
Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. Show your work.
SpyIntel [72]

See the attached picture:

8 0
3 years ago
The weight, X, of cherry tomatoes selected at random from a very large bin at the local supermarket follows a Normal distributio
Vesna [10]

Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Step-by-step explanation:

Given that;

X has normal distribution has mean µ = 3

standard deviation σ = 2  

now

P( x< 4) = P( (x-µ)/σ /(3-4)/5)

= P( z < -0.5 )

= 0.3085  {from the z-table}

X has binomial distribution with n = 8 and p = 0.3085

so P(x=5)

P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵

= 0.0517  ≈ 0.05

Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

7 0
3 years ago
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