Answer:
The vertex is ( -4,1)
Step-by-step explanation:
The equation for a parabola can be written as
y = a( x-h)^2 +k where ( h,k) is the vertex
y = 2
(x + 4)² + 1
Rewriting
y = 2
(x - -4)² + 1
The vertex is ( -4,1)
Answer:
k = 4
Step-by-step explanation:
if f(x) is divided by (x - h) then f(h) is the remainder
f(x) = 2x³ - 3x² + kx - 1
divided by (x - 1) , so h = 1 , then
2(1)³ - 3(1)² + k(1) - 1 = 2
2 - 3 + k - 1 = 2
- 2 + k = 2 ( add 2 to both sides )
k = 4
The first number in the couplet is the distance along the x-axis (i.e. distance from the y-axis). We can read 0.8 from the graph.
The second number is the distance along the y-axis (i.e.distance from the x-axis). We can read 6.7 from the graph.
So approximately, we have the point as (0.8, 6.7).
Round the numbers to the nearest integer and you'll get the required answer choice.
<span>-1/11 + 5/11
= 5/11 - 1/11
= 4/11
Answer
</span><span>4/11</span>
Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
