Answer:
A = (x + 7)(x + 9)
Step-by-step explanation:
Let the width w = x
then length l = w + 4 = x + 4
Area = length x width
= x(x+4)
Then the the width is increased by 7 units and the length increased by 5 units.
w = x + 7
l = (x + 4) + 5 =x + 9
A = (x + 7)(x + 9)
Answer:
1/2
Step-by-step explanation:
1/2 times 1/2 equals .25 (.25 is 1/4 which is half of 1/2)
1/2 divided by 1/2 is 1( 1 is 1/2 plus 1/2)
Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is 
.
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is .
Ben's estimate gives 7 g of nickel; the actual amount is 8.03 g.
In 1 g of the substance, there is 0.52 g of copper and 0.25 g of zinc; this gives
0.52+0.25 = 0.77 g of the substance.
The remaining part of the substance is nickel:
1-0.77 = 0.23 g of nickel.
Using Ben's estimate, 0.2 g of nickel per gram of substance, we have
0.2(35) = 7 g of nickel in 35 g of the substance.
The actual amount is 0.23(35) = 8.03 g of nickel in 35 g of the substance.
