Answer:
12 weeks
Step-by-step explanation:
Step one:
given data
let the heights of the plants be y
and the number of weeks be x
Plant A
y=3x+8.5--------------1
Plant B
y=2.5x+14.5----------2
Required
The number of weeks taken for both plants to have the same height
,equate the two expressions above
3x+8.5=2.5x+14.5
3x-2.5x=14.5-8.5
0.5x= 6
divide both sides by 0.5
x= 6/0.5
x= 12 weeks
The factors of 8 are 1, 2, 4, and 8.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The largest factor that is in both these lists is 8, therefore, the greatest common factor os 8 and 24 is 8.
Hope this helped! (:
Answer:
169
Step-by-step explanation:
Given data
The function is
5x^2+7x=6
rearrange
5x2+7x-6=0
From the above expression, we can see that
a=5
b=7
c=-6
Substitute into the expression b^2-4ac
=7^2-4*5*-6
= 49-(-120)
=49+120
=169
Hence the answer is 169
Convert all the improper fractions into mixed numbers, then simplify. Then, you do the operations.
So we can call the width of the rectangle x.
So then the length would be 4x.
The perimeter would then be 10x.
Since the perimeter is 70, we can say 70 = 10x.
And then simplify that to 7 = x.
So the length of a rectangle would be 28 cm, and the width would be 7.
So to find the area, just multiply length by width.
28*7 = 196 square cm
So the rectangle's area is 196 square cm.
I hope I helped!
