Answer:
Option B is correct
Step-by-step explanation:
Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:
x(x+3) = 40
x2 + 3x = 40
x2 + 3x + 40 = 0
Now, factor the equation:
(x+8)(x-5) = 0
Then, solve for both values of x:
x+8 = 0
x = -8
x-5 = 0
x = 5
As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.
<h3>Hope it is helpful...</h3>
y = (2/3)x + 6
because the slope stays the same because it is parallel and to get the y intercept you plug in -3 for x into the equation (2/3)x +? =4 and ?=6 so that gives you the equation y = (2/3)x + 6
Answer:
x=8 an they are at the exact opposite side
Step-by-step explanation:
Answer:
The total number of combinations is 2,358,720,000
Step-by-step explanation:
For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:
A(n,k) = (n!)/(n-k)!
Where n is the total number of possibilities and k is the size of the group.
For the letters:
A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600
For the numbers:
A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200
The total number of combinations is the product of both, so:
combinations = 15600*151200 = 2,358,720,000
Answer:
Three of the answers are given to you. Remember to work smarter not harder.
Step-by-step explanation:
Solution: ? <u><em>the true answer is not there for solution or reciprocal </em></u>
Reciprocal: ?
Coefficient: A number that is mulitplied by a variable in an algebratic expression is a coefficient.
<em>Ex] 4x where 4 is the coefficient because you are multiplying it by x (a variable). </em>
Term: A term of an algebraic expression is a number, variable, or product of numbers and variables.
<em>Ex] 4x+5 there are two terms in the expression because it is seperated by a math symbol. </em>
Base: The base of a power is the factor that is mulitplied repeatedly in the power.
<em>Ex] 2^3 where 2 is the base becasue it is being multiplied by itself 3 times.</em>