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3 years ago

A function f(x) is graphed on the coordinate plane.

Mathematics

2 answers:

Sidana [21]3 years ago

8 0

Answer: y = - 4x + 2

Explanation:

The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.

The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.

The graph permits you to calculate both parameters.

1) The slope, a is defined in this way:

a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]

you can use the points (0, - 2) and (-1,2):

⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.

3) Substituting the values of a and b in the form y = ax + b, you the rule:

y = - 4x - 2

Citrus2011 [14]3 years ago

6 0

Answer:

f(x) = -4x - 2

Step-by-step explanation:

slope = -4 and y intercept = -2

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What is the slope of the line that passes (-11,2) and (-1, -13). Plz show your work.

ANEK [815]

Answer:

Slope = -3/2 or -1.5

Step-by-step explanation:

The Formula for slope is (The picture linked)

So, $\frac{-13-2}{-1-(-11)}$

Which is equal to... $\frac{-15}{10}$ when simplified

Which is equal to $\frac{-3}{2}$ or -1.5 which is the slope

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2 years ago

7. A coin is tossed and a day of the week is selected. What is the probability that you get tails and a day that begins with "S"

Mrrafil [7]

Answer:

1/7

Step-by-step explanation:

Lets start with the probability of flipping tails, 1/2.

Then the probability of the day starting with the letter s, 2/7.

Calculate the final probability by multiplying the two together.

$\frac{1}{2}*\frac{2}{7}=\frac{2}{14}$

You can simplify 2/14 down to 1/7

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1 year ago

One year, in school A, 162 students leave and 109 go to university. In school B, 75 students leave and 68 go to university. Comp

eduard

Answer:

in school a , 67.3 % of leaving students go to university.

in school b ,90.7% of leaving students go to university

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.

Alexeev081 [22]

Answer:

$\frac{18}{40}=0.45$

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

$\frac{18}{40}=0.45$

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

$S_{80}=0.503\\S_{120}=0.50$

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3 years ago

Read image for instructions

Oliga [24]

The last part answers the first part for you, just look at the y-values.

In other words:

A' (-8, 2)

B' (-4, 3)

C' (-2, 8)

D' (-10, 6)

Explanation:

When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.

This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.

Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.

A'' (8, 2)

B'' (4, 3)

C'' (2, 8)

D'' (10, 6)

Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.

3 0

2 years ago