Answer:
The factored version of the given equation is going to be (3x² + 4y)(x + 5)
Step-by-step explanation:
<em>3x³ + 15x² + 4xy + 20y</em>
First, you break down 3x³. You can do this by finding the common factor of 3x³ and 15x². You can add the x to the other parentheses because x times x² equals x³
<em>(3x² + )(x + 5)</em>
Now, we break down 4xy by finding the common factor of 4xy and 20y.
<em>(3x² + 4y)(x + 5)</em>
So, the factored version of the equation above is (3x² + 4y)(x + 5)
Add them all, which is -216. Divide by the number of values, which is the mean of -36.
A) There could be 5 different choices
b) There could be 6 different choices
Let the increase be x m
new length=(7+x)m
new width=(4+x) m
the current area of the garden is:
Area=length*width
A=4*7=28 sq. meters
when the area is doubled we shall have:
28*2=56
thus the new area will be:
(x+7)(x+4)=56
x^2+11x+28=56
x^2+11x-28=0
solving for x we get:
x=2.1
thus the dimensions are:
length=7+2.1=9.1
width=4+2.1=6.1
Answer:
Step-by-step explanation:
Disc.=k²-4×9
roots are real if k²-36≥0
|k|≥ 6
k≤- 6
or k≥ 6
roots are imaginary if k²-36≤0
k²≤ 36
|k|≤6
roots are imaginary if -6 ≤ k ≤6