<span>y = 3x² + 18x
factor out the leading coefficient
y = 3(x²+6x)
Complete the square
coefficient of the x term: 6
divide it in half: 3
square it: 3²
use 3² to complete the square:
y = 3(x²+6x + 3²) - 3·3²
= 3(x+3)² - 3·3²
= 3(x+3)² - 27
vertex (-3, -27)</span>
Two fractions are equivalent if the product of the numerator of the first and the denominator of the second is equal to the product of the numerator of the second and the denominator of the first.
4 x 2 ___ 16 x 0.25
8 is not equal to 4
Thus, they are not equivalent.
The smallest region that can be photographed is
5*7 = 35 square km
so we want to know how long it takes to zoom out to an area of
35 * 5 = 175 square km.
Notice that the length and width increase at the same rate, 2 km/sec, and they start out with a difference of two, so when the width has increased from 5 to x, the length will have increased from 7 to x+2. At the desired coverage area, then,
x(x+2) = 175
x^2 + 2x = 175
x^2 + 2x + 1 = 176 [completing the square]
(x+1)^2 = 176
x+1 = ±4√11
x = -1 ±4√11
Since a negative value for x is meaningless here, x must be
-1 + 4√11 = about 12.27 km
and the time it took to increast to that value was
(12.27 - 5) km / (2 km/sec) = about 3.63 seconds
5 is b and 1 is a
1 is A because just change the x value with the number in the table for x and see if y matches like
Y=-2x+6
Y=-2*1 + 6
4 =-2*1+6
And for 5
Day is x, y is depending on x and your going to add .4 to everything. But it’s growing .2 every day so it’s
Y=0.2x+0.4
I hope this helps you if I’m not right please tell me so if other people use those they know I’m wrong if I am. I don’t think so thou. If not please give me brainiest. Thank you!!
Have a nice night.
- Pam Pam
Step-by-step explanation:
1) 15/60 = 3/12 = 1/4
2) 8/36 = 4/23
