Answer:
because 4 + (negative 7) is an equivalent expression, the answer is -3.
Step-by-step explanation:
4 + (-7) = -3
The number of bacteria grown in 32 hours is 15771
<u>Step-by-step explanation:</u>
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
<u>
To calculate number of bacteria grown in 14 hours :</u>
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
<u>To calculate number of bacteria grown in 1 hour :</u>
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
<u>To calculate number of bacteria grown in 32 hours :</u>
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
Question: In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.
Answer:
a= 3
b= 0
Answer:
0
Step-by-step explanation:
We have the fraction
Step 1. Use LCM of the fraction, (2m+3)(2m-3), to simplify the fraction:
![\frac{(2m-3)(2m)-(2m+3)(2m)}{(2m+3)(2m-3)} =\frac{2m^2-6m-[2m^2+6m]}{(2m+3)(2m-3)} =\frac{2m^2-6m-2m^2-6m}{(2m+3)(2m-3)} =\frac{-12m}{(2m+3)(2m-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B%282m-3%29%282m%29-%282m%2B3%29%282m%29%7D%7B%282m%2B3%29%282m-3%29%7D%20%3D%5Cfrac%7B2m%5E2-6m-%5B2m%5E2%2B6m%5D%7D%7B%282m%2B3%29%282m-3%29%7D%20%3D%5Cfrac%7B2m%5E2-6m-2m%5E2-6m%7D%7B%282m%2B3%29%282m-3%29%7D%20%3D%5Cfrac%7B-12m%7D%7B%282m%2B3%29%282m-3%29%7D)
Step 2. Equate the resulting fraction to zero and solve for
:

![-12m=0[(2m+3)(2m-3)]](https://tex.z-dn.net/?f=-12m%3D0%5B%282m%2B3%29%282m-3%29%5D)



Step 3. Replace the value in the original equation and check if it holds:


Since
,


Since the only solution of the equation holds, the equation bellow doesn't have any extraneous solution
Step-by-step explanation:
Info : 2^(6)=64
then
64^(1÷4) = (2^(6))^(1÷4)
=2^(6÷4)
=2^(3÷2)
=2√(2)
=2.828427124746