Answer:
D
Step-by-step explanation:
First, compare the tens and ones places.
Bats 1 and 2 are each 27 point something ounces. 27 is less than 28 and 29, so we know the answer is either Bat 1 or 2.
Now let's look at the tenths place. Bat 1 is 27.1 oz, Bat 2 is 27.4. Since 1 is less than 4, we know that Bat 1 weighs the least!
Answer: Option c. D: all real numbers R: (y ≥ 8.75)
Solution:
y=x^2+x+9
Domain: all real numbers = ( - Infinite, Infinite)
y=ax^2+bx+c
a=1 > 0, the parabola opens upward: Range: y ≥k
b=1
c=9
Vertex: V=(h,k)
h=-b/(2a)
h=-1/(2(1))
h=-1/2
h=-0.5
k=y=h^2+h+9
k=(-0.5)^2+(-0.5)+9
k=0.25-0.5+9
k=8.75
Range: y≥k
Range: y≥8.75
First, let's find the scale of the smaller to the bigger triangle:
6:6+4 = 6:10 = 3:5
3/5 = x/2
6 = 5x
x = 6/5
GIVE BRAN nOWStep-by-step explanation:
Separate the 1st 2 terms from the 3rd term:
y = x^2 - 8x + 7
Next, take half of the coefficient of x (that is, half of -8).
In this case that'd come out to -4.
Square this -4 and add the result (16) to x^2 - 8x: x^2 - 8x + 16; subtract -16 from 7:
x^2 - 8x + 16 7 - 16
Write the trinomial as
a perfect square:
(x-4)^2 -9
The answer is (x-4)^2 - 9.
This approach is very useful. Note that the vertex of the parabola represented by the given polynomiql is (4,-9).