Answer:
18.8 minuites
Step-by-step explanation:
20% of 5 is 1 so the second time is 6 and 30% of 6 is 1.8 so it will be
5+6+7.8=18.8
Answer:
(-4,-4)
Step-by-step explanation:
Delta math
The possible values of b are 7 and 8
<h3>How to determine the possible values of x?</h3>
The expression is given as:
4x² + bx + 3
Next, we test the options to determine the values of b
<u>Option 1: b = 13</u>
So, we have:
4x² + 13x + 3 ---- this cannot be factorized
<u>Option 2: b = 7</u>
So, we have:
4x² + 7x + 3
Expand
4x² + 4x + 3x + 3
Factorize
4x(x +1) + 3(x + 1)
Factor out x + 1
(4x + 3)(x + 1) ------ this can be factorized
<u>Option 3: b = 8</u>
So, we have:
4x² + 8x + 3
Expand
4x² + 6x + 2x + 3
Factorize
2x(2x +3) + 1(2x + 3)
Factor out 2x + 3
(2x + 3)(2x + 1) ------ this can be factorized
<u>Option 4: b = 1</u>
So, we have:
4x² + x + 3 ---- this cannot be factorized
Hence, the possible values of b are 7 and 8
Read more about factorized expressions at:
brainly.com/question/723406
#SPJ1
Answer:
12.895
Step-by-step explanation:
Standard deviation is a statistic that measures the dispersion of a sample. The sample standard deviation measures the spread of data distribution of the sample. It is usually used to estimate the population standard deviation.
The perimeter in this case will be:
p=2x+y and we are told that p=84yd so
2x+y=84
y=84-2x
Now for the area:
A=xy, and using y found above in this gives you:
A=x(84-2x)
A=84x-2x^2 now taking the derivatives gives you the velocity and acceleration of the area function...
dA/dx=84-4x and d2A/dx2=-4
Since the acceleration is a constant -4, when velocity is equal to zero it is at the absolute maximum value for the area function...
dA/dx=0 only when 84=4x, x=21
So the maximum possible area will occur when x=21
A(21)=84(21)-2(21^2)
A(21)=882 yd^2
