Answer:
x= -8 x=2
Step-by-step explanation:
x^2 +6x-6= 10
Subtract 10 from each side
x^2 +6x-6-10= 10-10
x^2 +6x-16 = 0
What 2 number multiply to -16 and add to 6
8 * -2 = -16
8 -2 = 6
(x+8) (x-2)=0
Using the zero product property
x+8=0 x-2=0
x= -8 x=2
r/3 + t = w to get r by itself (Which I think is your question)
r/3 + t = w subtract t from both sides
r/3 = w - t and times by 3 on both sides
r = 3(w-t)
Answer:
The sum is 32766.
Step-by-step explanation:
The 7 terms of the series are as follows:
namely: 6, 24, 96, 384, 1536, 6144, 24576
and their sum is 32766.
Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
Answer:
8+3x
Step-by-step explanation:
To simplify this equation, we can use PEMDAS, or the order of operations.
1. <u>Parenthesis</u>
2. <u>Exponents</u>
3. <u>Multiplication>Division (Depends on who comes first left to right)</u>
4. <u>Addition>Subtraction(Same as multiplication>Division)</u>
Now, we just need to solve the equation.
First, solve the <u>parenthesis</u>.
We can use the distributive property, since there is a subtraction symbol before the parenthesis, we can multiply both numbers by -1.
Now our equation is 5-x+3+4x
Next, use the commutative property to add together all the seperated common terms.
Now our equation is 8+3x, since we added 3 to 5 and 4x to -x.
Hope this helps!
