Answer:
28
Step-by-step explanation:
We will keep dividing by prime numbers until both are one (we will only consider whole divisions)
```
14 28 | 2
7 14 | 2
7 7 | 7
1 1
Now we <em>m</em><em>u</em><em>l</em><em>t</em><em>i</em><em>p</em><em>l</em><em>y</em> the left collumn, to get the LCM
2 * 2 * 7 = 28
And this was the vertical method, ok?
The number is x
it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero
x-7=0
x=7
this is not the answer because we were told the number was negative
x+4=0
x=-4
correct
the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check
the number is -4
Answer:
y = -14
y = 39
Step-by-step explanation:
To find the slope(m), you use the slope formula:
And plug in the two points
(x₁ , y₁) = (1, 0)
(x₂ , y₂) = (5, 3)


Answer:
3 7/8 cups plants food
Step-by-step explanation:
peat moss = 3 ½ cups
compost = 5 ¼ cups
fertilizer = 6 ¾ cups
Total mixture = peat moss + compost + fertilizer
= 3 ½ cups + 5 ¼ cups + 6 ¾ cups
= 7/2 + 21/4 + 27/4
= 14+21+27/4
= 62/4
Total mixture = 62/4 cups
She evenly distributed the plant food among 4 rose bushes
Each rose bush uses = Total mixture / number of rose bushes
= 62/4 ÷ 4
= 62/4 × 1/4
= 62/16
= 3 14/16
= 3 7/8 cups plants food
Each rose bush uses = 3 7/8 cups of plants food