Answer:
Step-by-step explanation:
Answer:
a = 2, b = - 3, c = - 8
Step-by-step explanation:
Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is
a(x + b)² + c ← expand (x + b)² using FOIL
= a(x² + 2bx + b²) + c ← distribute parenthesis by a
= ax² + 2abx + ab² + c
Compare like terms with f(x) = 2x² - 12x + 10
Compare coefficients x² term
a = 2
Compare coefficients of x- term
2ab = - 12, substitute a = 2
2(2)b = - 12
4b = - 12 ( divide both sides by 4 )
b = - 3
Compare constant term
ab² + c = 10 , substitute a = 2, b = - 3
2(- 3)² + c = 10
18 + c = 10 ( subtract 18 from both sides )
c = - 8
Then a = 2, b = - 3, c = - 8
Answer:
Step-by-step explanation:
it will always be true as long as it is adittion the r is the unknown number just add 15 plus what equals 25
Answer:
The length is 14 m.
Step-by-step explanation:
length = L
width = W
perimeter = P
"The perimeter of a rectangle is twice the sum of its length and its width."
P = 2(L + W)
"The perimeter is 40 meters"
40 = 2(L + W)
"and its length is 2 meters more than twice its width."
L = 2W + 2
Replace L with 2W + 2 in equation 40 = 2(L + W):
40 = 2(2W + 2 + W)
40 = 2(3W + 2)
20 = 3W + 2
3W = 18
W = 6
The width is 6 meters.
L = 2W + 2 = 2(6 m) + 2 m = 12 m + 2 m = 14 m
Answer: The length is 14 m.
Hi!
Let's divide 4000 by 1000 to see what .1% would be: $4.
Now we multiply 4 by 36 to get 3.6% of 4000: $ 144
Add 4000 and 144 together:40144.
hope this helps!
