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IceJOKER [234]
3 years ago
8

Rewrite the equation in slope intercept form.

Mathematics
1 answer:
sdas [7]3 years ago
7 0

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

1.\\4x+y=1\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\y=-4x+1\\\\2.\\x-y=6\qquad|\text{subtract}\ x\ \text{from both sides}\\\\-y=-x+6\qquad|\text{change the signs}\\\\y=x-6\\\\3.\\6x-3y=-9\qquad|\text{subtract}\ 6x\ \text{from both sides}\\\\-3y=-6x-9\qquad|\text{divide both sides by (-3)}\\\\y=2x+3

4.\\-12x-4y=2\qquad|\text{add}\ 12x\ \text{to both sides}\\\\-4y=12x+2\qquad|\text{divide both sides by (-4)}\\\\y=-3x-0.5\\\\5.\\2x+5y=-10\qquad|\text{subtract}\ 2x\ \text{from both sides}\\\\5y=-2x-10\qquad|\text{divide both sides by 5}\\\\y=-0.4x-2\\\\6.\\-x-10y=20\qquad|\text{add}\ x\ \text{to both sides}\\\\-10y=x+20\qquad|\text{divide both sides by (-10)}\\\\y=-0.1x-2

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A housepainter mixed 2 gallons of blue paint with
maria [59]

Answer:

Option D: 6:12 is correct answer.

Step-by-step explanation:

We can find the simplest form of ratio to compare it with the given ratios.

According to given statement,

The ratio is:

No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2

Now we will check if the given options can be simplified to 1:2

So,

Option A:

8:12\\2:3

Option B:

8:24\\1:3

Option C:

3:5

Option D:

6:12\\1:2

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.

Hence,

Option D: 6:12 is correct answer.

8 0
3 years ago
Help me plz it’s hard for me lol
slava [35]

Answer:

36

Step-by-step explanation:

2 *3 sqare root 3 * 12

Solving gives:

6 sqare root 36.

sqare root 36 = 6

2 * 6 * 3

So our answer is 36.

3 0
3 years ago
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation
faltersainse [42]

Answer:

15 million

Step-by-step explanation:

7 0
3 years ago
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in th
mafiozo [28]

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

3 0
3 years ago
Given the piecewise function shown below, select all the statements that are true.
Lena [83]
C
because it is the only logical answer
4 0
4 years ago
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