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Brums [2.3K]
3 years ago
14

The table shows a linear function.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

B) f(x) = -3/5x +5

Step-by-step explanation:

There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.

The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.

The slope, the change in y divided by the change in x for two points, is ...

... (-1 -2)/(10 -5) = -3/5

This is the slope and the coefficient of x in the linear equation.

Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:

... y = mx + b

... y = (-3/5)x + 5

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Please help with the steps as well!!
mariarad [96]

To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.

a = y = 36.25cm

b = x = 20.93cm

a^2 + b^2 = c^2

(36.25)^2 + (20.93)^2 = c^2

1314.0625 + 438.0649 = c^2

√1752.1274 = √c^2

c = 41.8584209 ≈ 41.86

So your final answer is...

The length of the hypotenuse is about 41.86 cm.

4 0
3 years ago
The dimensions of a triangular prism are shown in the diagram.
Inessa05 [86]
The volume is the triangular prism is 6 cm
4 0
3 years ago
Read 2 more answers
The price of a microwave oven went up from $75 to $90; then went on sale for $57. What is the percent decrease from the original
Arisa [49]

Answer:

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Original price of a microwave = $ 75

Mark-up price of the microwave = $ 90

Sale price of the microwave = $ 57

2. What is the percent decrease from the original price to the sale price?

For answering this question we will use the Direct Rule of Three this way:

Price         Percentage

75                 100%

57                   x

75x = 57 * 100

75x = 5,700

x = 5,700/75

x = 76

76 = 100 - 24

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

5 0
3 years ago
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A town council has 13 ​members, 7 Democrats and 6 Republicans.
bezimeni [28]

Answer:

Membership selection a town council has members Democrats and Republicans if the president and vice president are selected at random what is the probability that they are both Democrats

There is a 26.9% chance, if the president and vice-president are selected at random, that they are both Democrats. There is a 12.2% chance, if a 3-person committee is selected at random, that Republicans make up the majority.

Step-by-step explanation:

7 0
3 years ago
A definite integral of f(x)dx on the interval a to b probably SHOULDN'T be used:
OLga [1]
= cos( -x ) * [ - sin( - x ) ] = cosx * sinx ;
cosx * sin x is the right answer !
6 0
3 years ago
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