hello :
y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )
Option (a) is correct.
The standard form the equation is
Step-by-step explanation:
Given : the vertex form of the equation of a parabola is
We have to write the given equation in standard form and choose the correct from the given options.
Consider the given equation of parabola
The standard form of equation of parabola is
We can obtain the standard form by expanding the square term in the given equation.
Using algebraic identity , we have,
Solving brackets, we get,
Simplify, we get,
Thus, The standard form the equation is
Answer:
Exponential growth
Step-by-step explanation:
This is not a negative so it is growing.
Hope this helps!
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
Answer:
7 more students need to sign up.
Step-by-step explanation:
if you subtract the number of students needed by the number of students you have, you get 7 (30-23)
