Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
Answer:
286
Step-by-step explanation:
Use term formula for +/-
Tn = a + (n-1)d
n= number of term
a= first number in sequence
d= difference between each number
T55 = 16 + (55-1)5
T55 = 16 + 270
=286
{(3x)}^{2}-2(3x)(5)+{5}^{2}
−2(3x)(5)+5
2
{(3x-5)}^{2}
Answer: Kate = £102
Sanjeev = £153
Step-by-step explanation:
From the question, we are informed that for every £2 that kat collects, sanjeev collects £3. This csn be represented in a fraction as:
Kat = 2/5
Sanjeev = 3/5
The amount that each collects will be:
Kat = 2/5 × £255
= 2 × £51
= £102
Sanjeev = 3/5 × £255
= 3 × £51
= £153
The answer is 16. 7 is 1/4th the value of 28, so 4 should be 1/4th the value of 16.
