First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)
Answer:
b = 
Step-by-step explanation:
Multiply through by 3 to clear the fractions.
4b + 6 = 12 - b ( add b to both sides )
5b + 6 = 12 ( subtract 6 from both sides )
5b = 6 ( divide both sides by 5 )
b =
Answer:
21, 23, 25
Step-by-step explanation:
Ok, so this one may seem a little tricky, so I'll try to explain it as best as I can. :)
So because they are consecutive odd numbers, that means they are odd numbers that are one after the other. This means each number is 2 apart from the next. So by using this, we know that there is a difference of 6 between the highest and lowest number. Now let's try and make an equation:
3o + 6 = 69
Now in order to get O by itself we have to subtract 6 from both sides:
3o = 63
Now we just have to divide by three on both sides:
o = 21
So now, we know that the lowest number is 21, but we have to add 2 to get 23, and then another 2 to get 25.
Hope this helps :)
Answer:
x = 11
Step-by-step explanation:
The angle formed by two secants is half the difference of the intercepted arc angles.
m∠D = ½ (mBS − mCE)
60 = ½ (173 − (5x − 2))
120 = 173 − 5x + 2
5x = 55
x = 11
Answer: The polynomial
= y² - 5y - 4.
Step-by-step explanation:
Let the polynomial = f(y)
Therefore
y² -5y + 1 - f(y) = 5
f(y) = y² - 5y + 1 - 5
f(y) = y² - 5y - 4
The polynomial = y² - 5y - 4.
Check:
y² - 5y + 1 - ( y² - 5y - 4)
Open the bracket with the minus
y² - 5y + 1 - y² + 5y + 4
y² - y² - 5y + 5y + 1 + 4
= 0 - 0 + 5
= 5.
