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Oliga [24]
2 years ago
10

Y = -3x-2 Slope intercept form

Mathematics
1 answer:
lana66690 [7]2 years ago
4 0

Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

You might be interested in
Two consecutive integers have a sum of 73. Find the integers.
patriot [66]

<u>Here's how to do it using algebra:</u>

Let the smaller integer be 'x' .  Then the larger integer is (x+1).

Their sum is (x) + (x+1).

That's (2x + 1) .

The problem says their sum is 73, so we can write . . . 2x + 1 = 73 .

Subtract 1 from each side . . . 2x = 72

Divide each side by 2 . . . x = 36

The smaller integer is 36 .

The larger integer is (x+1) .  That would be 37.

The two consecutive integers are  <em>36 </em> and  <em>37</em> .

_______________________________________

<u>Here's how to do it using your brain:</u>

-- If they were both the same number, then their sum would be double it, and each integer would be half of  73 .

-- That's 36.5 .

-- But  36.5  is not even an integer, so neither integer can be 36.5.  Is there something we can do to a pair of 36.5s to make them whole numbers (integers), make them different, and make them consecutive, but not let their sum change ?

-- Well, if we slice off a piece from one of them and glue it onto the other one, then we'll wind up with two numbers that are different, and their sum won't change.

-- What happens if we take the  .5  off of one of them and glue it onto the other one ?   Then one of the 36.5s shrinks to become  <u>36</u>, and the other one grows to become  <u>37</u> .

-- Well whaddaya know !  Now we have two numbers that are consecutive integers, and they add up to  73 .  Great move !

4 0
2 years ago
Read 2 more answers
Mario works at a snack bar near the beach for 2 hours each Saturday. one Saturday, he started with 30 bottles of juice and sold
PSYCHO15rus [73]

Answer:

12 bottles were sold in the second hour.

Step-by-step explanation:

This problem can be solved by implementing an equation in one variable.

The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.

The equation will also consist of the value to be found out, the amount of juice sold in the second hour.

The value to be found out is substituted by a variable.

The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.

When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.

The negative sign becomes positive and multiplication becomes division, and vice-versa.

1. In the first hour, \frac{3}{15} of all the juice was sold.

\frac{3}{15} of 30 is calculated as

\frac{3}{15} x 30 = 6

6 bottles are sold in the first hour.

2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.

3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.

\frac{6}{15} of 30 is calculated as

\frac{6}{15} x 30 = 12

12 bottles are remaining at the end of the second hour.

4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.

We get, 24 - a bottles are remaining at the end of the second hour.

We equate the above expression with 12, we get the following equation.

24 - a = 12

Next, we transfer a from left side to the right side of the equation.

24 = 12 + a

Next, we transfer 12 from right side to the left side of the equation.

24 - 12 = a

=> 12 = a

OR

a = 12

Hence, 12 bottles were sold in the second hour.

5 0
3 years ago
Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph
12345 [234]

Answer:

B) y=12x

Step-by-step explanation:

We are given with the coordinates (0,0) , (1,12) \ and \ (2,24)

Where x represents the number of days.

y represents the number of likes she got.

To model the equation using Kyle's data we find the slope using the given coordinate.

Let us say (0,0) \ as \ (x1 , y1) and (1,12) \ as \ (x2,y2)

Slope (m) formula ,  m=\frac{(y2-y1)}{(x2-x1)}

Plug in the above points now, we get

m=\frac{(12-0)}{(1-0)} =\frac{12}{1} =12

Now we use the point-slope formula, (y-1)= m(x-x1)

Plugging the corresponding values.

     (y-0)= 12(x-0)\\y=12x

Thus option is B is the correct answer.

5 0
3 years ago
One of hundred equal parts
Westkost [7]
The answer would be 1/100 or 0.01
5 0
2 years ago
Read 2 more answers
Solve for c.<br> 55c+13 &lt; 750 +39
iren [92.7K]

Answer:

c = anything less than 14.1

Step-by-step explanation:

55c+13 < 750 + 39

55c+13 < 789

55c < 776

c < 14.1

Hope It Helps

5 0
2 years ago
Read 2 more answers
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