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3 years ago

1. Divide using long division: (5x +13x² – 8x - 2) / (x+3)

Mathematics

1 answer:

DaniilM [7]3 years ago

6 0

Answer:

13x -42 124/x+3

Step-by-step explanation:

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Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k=______.

LenKa [72]

Answer:

Step-by-step explanation:

Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))

g(0) = 3

g(0) = f(0) + k

3 = -2 + k

5 = k

7 0

2 years ago

Line Equation from Two Points

Verdich [7]

Hi!

We can use point-slope form to solve this.

$y-y_{1} =m(x -x_{1})$

$y_{1}$ and $x_{1}$ will be from one of the points.

First, we have to find $m$ , the slope. We can use the slope equation to get this.

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

Plug in your points:

$\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}$

Your slope is $\frac{1}{4}$

Now plug points and slope into point-slope equation. We will use (8, 4).

$y-4=\frac{1}{4} (x-8)$

Now, if you want to get it into y = mx + b form, you have to solve for y:

$y-4=\frac{1}{4} (x-8)$

$y-4=\frac{1}{4} x-2$

$y=\frac{1}{4} +2$

Your equation is $y=\frac{1}{4} +2$

For more information on how to get the equation of a line when given two points, see here:

brainly.com/question/986503

7 0

2 years ago

What is the simplified answer to 5/2

Yanka [14]

Maybe it the mixed number form. 2 1/2?

8 0

2 years ago

Write the STANDARD FORM of the equation through the point (4,-4) witha slope of -2.

boyakko [2]

The general equation of line with the slope "m" and passing points (a,b) is :

y - b = m (x -a)

In the given question:

Slope m = -2, passing points (a,b) = (4,-4)

Substitute the value of a = 4, b = -4 in the general equation of line

$\begin{gathered} y-b=m(x-a) \\ y-(-4)=(-2)(x-4) \\ y+4=-2(x-4) \\ y+4=-2x+8 \\ y+2x=8-4 \\ 2x+y=4 \end{gathered}$

The equation with the slope -2 and passing points (4,-4) is 2x + y = 4

Answer : 2x + y = 4

8 0

1 year ago

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th

ira [324]

a. Suppose you bid $11,500. What is the probability that your bid will be accepted?

b. Suppose you bid $13,500. What is the probability that your bid will be accepted?

Answer:

a. 0.392

b. 0.784

Step-by-step explanation:

Given

a = 9,500 , b = 14,600

The probability density function is given by 1 divided by the interval between a and b.

f(x) = 1/(b - a)

f(x) = 1/(14,600 - 9,500)

f(x) = 1/5100

f(x) = 0.000196

a. Suppose you bid $11,500. What is the probability that your bid will be accepted?

This is given by the integration of f(x) over the interval in the probability

I.e.

P(x < 11,500) = Integral of 0.000196dx, where upper bound = 11,500 and lower bound = 9,500

Integrating 0.000196dx gives

0.000196x introducing the upper and lower bound.

We get

0.000196(11,500 - 9,500)

= 0.392

b. Suppose you bid $13,500. What is the probability that your bid will be accepted?

This is given by the integration of f(x) over the interval in the probability

I.e.

P(x < 13,500) = Integral of 0.000196dx, where upper bound = 13,500 and lower bound = 9,500

Integrating 0.000196dx gives

0.000196x introducing the upper and lower bound.

We get

0.000196(13,500 - 9,500)

= 0.784

8 0

3 years ago