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2 years ago

I need help with this equation 5x (2x-2)

1 answer:

8 0

Answer: 10x^2-10x

Explanation: You would distribute the 5x into the parenthesis making it 10x(to the second power) -10x

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What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2

Phoenix [80]

Answer:

$equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0$

5 0

2 years ago

Help please!

ch4aika [34]

Answer:

Step-by-step explanation:

Sry but I only did 1,2,5,6,7&8

But am not sure if am correct just try

8 0

2 years ago

When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D

NeTakaya

<h3>Answer: 7x - 5</h3>

============================================

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

----------------

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

----------------

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

----------------

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

----------------

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0

3 years ago

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

storchak [24]

Answer:

a) 0.1587

b) 0.0475

c) 0.7938

Step-by-step explanation:

Let's start defining our random variable.

X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''

X is modeled as a normal random variable.

X ~ N(μ,σ)

Where μ is the mean and σ is the standard deviation.

To calculate all the probabilities, we are going to normalize the random variable X.

We are going to call to the standard normal distribution ''Z''.

[(X - μ) / σ] ≅ Z

We normalize by subtracting the mean to X and then dividing by standard deviation.

We can find the values of probabilities for Z in a standard normal distribution table.

We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''

$P(X$

$P(Z$ Φ(-1) = 0.1587

$P(X>7)=P(\frac{X-4.5}{1.5}>\frac{7-4.5}{1.5})$

$P(Z>1.666)=1-P(Z\leq 1.666)=$

1 - Φ(1.666) = 1 - 0.9525 = 0.0475

$P(3$

$P(-1$ Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938

8 0

3 years ago

F(x) = 3x + 2 and g(x) = x + 5 g[f(x)] =

Tema [17]

Answer:

f (2x+1)=6x−2

3 0

3 years ago

Read 2 more answers