Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?
Answers
y = 3(x - 2)(x - 2) - (x - 5)(x - 5)
y = 3(x(x - 2) - 2(x - 2)) - (x(x - 5) - 5(x - 5))
y = 3(x(x) - x(2) - 2(x) + 2(2)) - (x(x) - x(5) - 5(x) + 5(5))
y = 3(x² - 2x - 2x + 4) - (x² - 5x - 5x + 25)
y = 3(x² - 4x + 4) - (x² - 10x + 25)
y = 3(x²) - 3(4x) + 3(4) - (x²) + (10x) - (25)
y = (3x² - 12x + 12) + (-x² + 10x - 25)
y = (3x² - x²) + (-12x + 10x) + (12 - 25)
y = 2x² - 2x - 13
+ 13 + 13
y + 13 = 2x² - 2x + 0.5
y + 13 + 0.5 = 2(x² - x + 0.25)
y + 13.5 = 2(x² - 0.5x - 0.5x + 0.25)
y + 13.5 = 2(x(x) - x(0.5) - 0.5(x) + 0.5(0.5))
y + 13.5 = 2(x(x - 0.5) - 0.5(x - 0.5))
y + 13.5 = 2(x - 0.5)(x - 0.5)
y + 13.5 = 2(x - 0.5)²
- 13.5 - 13.5
y = 2(x - 0.5)² - 13.5
Answer: on Edge its choice D or 2(x - 1/2)^2 - 27/2
Step-by-step explanation:
The other guy has the same answer just in decimal form and I'm a big brain boy so I helped out
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5 years. Find Ravi's present age
Answers
Answer:
15 years old
Step-by-step explanation:
Given the ratio of their ages = 4 : 3 = 4x : 3x ( x is a multiplier )
Then in 5 years the ratio of their ages is 4x + 5 : 3x + 5 = 5 : 4, that is
=
( cross- multiply )
4(4x + 5) = 5(3x + 5) ← distribute both sides
16x + 20 = 15x + 25 ( subtract 15x from both sides )
x + 20 = 25 ( subtract 20 from both sides )
x = 5
Thus
Ravi's age is 3x = 3 × 5 = 15
Answer:
Step-by-step explanation:
Ravi présent âge 15 because présent would be 20:15 and then it would turn into 25:20
Answers
Answer:
B
Step-by-step explanation:
Multiply two of the same will give you a perfect square like 13 x 13 is 169
Answers
Answer:
(f+g)(x) = x^2 + 7x -9
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= (x^2 + 6x – 2) + (x – 7)
= x^2 + 7x -9
+ 999
can you strike out 6 of these digits so that the total of the remaing numbers shall be 20?
Answers
The total of the remaining numbers shall be 20 by taking out 6 digit as
11 + 9 = 20.
What is addition?
One of the four fundamental operations of mathematics is addition, which is typically denoted by the plus sign (+). The other three are subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.
Make 111, 777, and 999 smaller because they are all more than 20.
Now, Five digits, minus one 1, two 7, and two 9, equals twenty 11 + 7 + 9 ≠ 20 (it equals 27).
Now, Remove number 7 now.
If you take out number 1 then
1+7+9=17, not 20
and of if we take out number 9 then
= 11+7=18, not 20
So, 11 + 9 = 20 (we took out numbers: 1, 7, 7, 7, 9 and 9 [6 numbers]).
Learn more about Addition here:
#SPJ7
Since 111, 777, and 999 are all bigger than 20, make them smaller. Take out one 1, two 7, and two 9 (5 numbers): 11 + 7 + 9 ≠ 20 (it equals 27). Now take out number 7. (If you take out number 1 [1+7+9=17, not 20] and of you take out number 9 [11+7=18, not 20].
11 + 9 = 20 (you took out numbers: 1, 7, 7, 7, 9 and 9 [6 numbers]).
Answers
y - sons age
now : x=2y
in six years: x+6=3(y-6)
we subsitude to second equation x=2y
2y+6=3y-18
-y=-24 /:(-1)
y=24
x=2*24=48
Now Tims son is 24 years old
B.45
C.214.29
D.500