Answer:
13 , 6.
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation to us is ,
Cross multiply ,
Squaring both sides ,
Simplify the whole square ,
Add 3 and subtract x on both sides ,
Simplify ,
Split the middle term of the quadratic equation,
Take out common ,
Take out ( x -13 ) as common ,
Equate both factors to 0 ,
<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>
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:
356 students?
Step-by-step explanation:
Am I Right? i always saying "am i right" because all i thought im wrong
Answer: 3x + 6
the slope, m, is 3
the y-intercept, b, is 6
Step-by-step explanation:
Change to slope intercept form, y = mx + b
First, isolate y on the left
2y -6x = 12 Add 6x to both sides (6x cancels on the left)
2y/2 = 6x/2 + 12/2 Divide both sides by 2 (2 cancels on he left)
y = 3x + 6
the slope, m, is 3
the y-intercept, b, is 6