General vertex form:
Given :
Extract "spread factor" m
Complete the square
Write as a squared binomial and simplify the constant
Re-write to match signs of standard general form:
Answer:x=6
Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .
-18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3
x2 - 6x - 3x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
3 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-6)
Which is the desired factorization
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt( x+9)
g(x) = 8x-13
f(g(x))
place the function g(x) in for x in f(x)
f(g(x)) = sqrt(8x-13+9)
Combine like terms
f(g(x)) = sqrt(8x-4)
Factor out 4
f(g(x)) = sqrt(4*(2x-1)
2 sqrt(2x-1)
Answer:
7868
Step-by-step explanation:
⇒ This can be written algebraically (with a variable <em>x</em>) as:
562 ÷ x = 14
⇒ Convert the division as a fraction:
= 14
⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable <em>x</em>:
562 · = 14 · 562
⇒ Simplify:
x = 7868
<u>Answer:</u> 7868
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<em>Hope this helps!</em> :)
