Answer:
True
Step-by-step explanation:
The vertex of the parabola is (-3, 9)
In order to find the vertex of any quadratic, you start by finding the x-value of said vertex. This can be done using the equation below.
-b/2a
In this equation 'a' refers to the coefficient of x^2 (-1) and 'b' refers to the coefficient of x (-6). So then we can plug into that equation using those values.
-b/2a
-(-6)/2(-1)
6/-2
-3
Now that we have the x value, we can substitute that value into the equation to find the y value.
f(x) = -x^2 - 6x
f(x) = -(-3)^2 - 6(-3)
f(x) = -(9) + 18
f(x) = 9
Therefore our point is (-3, 9)
Y=(x×5+41) where the x is number of dogs he has walked. And the y is money he has made
Answer:
x=a²+ab+b²/a+b , y=-ab/a+b
Step-by-step explanation:
The system of the given equation may b written as:
ax+by-a²=0
bx+ay-b²=0
Here,
a1=a,b1=b,c1= -a²
a2=b,b2=a and c2= -b²
By cross multiplication we get
x/b*(-b²)-(-a²)*a = -y/a*(-b²)-(-a²)*b = 1/a*a-b*b
x/-b³+a³ = -y/-ab²+a²b = 1/a²-b²
Now
x/-b³+a³ = 1/a²-b²
x=a³-b³/a²-b²
x=(a-b)(a²+ab+b²)/(a-b)(a+b)
x=a²+ab+b²/a+b
And,
-y/-ab²+a²b = 1/a²-b²
-y=a²b -ab²/a²-b²
y=ab²-a²b/a²-b²
y=ab(b-a)/(a-b)(a+b)
y= -ab(a-b)/(a-b)(a+b)
y= -ab/a+b
Hence x=a²+ab+b²/a+b , y=-ab/a+b....
Answer:
B. (x+2) is a factor
Step-by-step explanation:
3x^2 -x-14
3x^2+6x-7x-14
3x(x+2)-7(x+2)
(3x-7)(x+2)
so, x+2 is a factor of 3x^2-x-14