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Savatey [412]
3 years ago
10

Find the sum of the slope intercept and y-intercept of the line 2y-3= -6x

Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

Option B. -3/2

Step-by-step explanation:

To obtain the sum of the slope and y-intercept of the line 2y – 3 = –6x, we must obtain the slope and the y-intercept of the equation. This can be obtain as follow:

2y – 3 = –6x

Make y the subject of the equation:

2y = –6x + 3

Divide both side by 2

y = –6x/2 + 3/2

y = –3x + 3/2

Comparing the above equation with:

y = mx + c

The slope = m = –3

y-intercept = c = 3/2

The sum of the slope and y-intercept is given by:

–3 + 3/2 = –3/2

Therefore, the sum of the slope and y-intercept is –3/2.

You might be interested in
6 cousins inherited a total of 58 of their great aunt's assets which they divided evenly what fraction of their great aunt's ass
mina [271]

Answer:

9 1/9 per cousin

Step-by-step explanation:

if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.

since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9

4 0
3 years ago
How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d
Ostrovityanka [42]

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

5 0
3 years ago
Sandy sold 22 tickets, which was at least 6 more than twice the number of tickets that Teresa sold. This can be represented by t
iVinArrow [24]

Answer:

7

Step-by-step explanation:

Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)

6 + 2x < 22

x < 8

The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.

7 0
3 years ago
The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
Exam ends in 30 min help
Zina [86]

Answer:

rectangle

7/5=35

7+7+5+5=24

Step-by-step explanation:

shape name is rectangle

area is egual to length times width

perimeter is equal to length +width by 2

5 0
3 years ago
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