Answer:
B
Step-by-step explanation:
f(x) = 2x^2 - 4x + 5 Put brackets around the first 2 terms.
f(x) = (2x^2 - 4x) + 5 Take out the common factor of 2
f(x) = 2(x^2 - 2x) + 5 1/2 the second term and square.
f(x) = 2(x^2 -2x + (2/2)^2) + 5 Express brackets as a perfect square.
f(x) = 2(x - 1)^2 + 5 Multiply 2 * 1 (the term without an x. Subtract.
f(x) = 2(x - 1)^2 + 5 - 2 Combine
f(x) = 2(x - 1)^2 + 3
Answer:
The ladder will reach 5.6 meters high.
Step-by-step explanation:
The tree, the ground and Kali's ladder form a triangle whose hypotenuse
is the ladder, base
the ground, and perpendicular
the tree. Thus from Pythagorean theorem:

Since
and 

Thus the ladder will reach 5.6 meters high.
I have included a graph to help you see what the domain and range would be
There are no minus y values.
0<y< infinity y is included in the reals.
The domain is
- infinity < x < infinity.
I don't want to say that either x or y can equal - or + infinity. Some teachers allow it. You have to ask your instructor what they will accept.
The blue line is y = 4^x
The red line is y = 2^x
Answer:
x = 15
Step-by-step explanation:
The two angles add to a straight line, so they add to 180
6x-5 + 6x+5 = 180
Combine like terms
12x = 180
Divide by 12
12x/12 =180/12
x =15
The coordinates of C are 4,6 because thats the rule for y=x