Answer:
x = - 7, x = 3
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² + 4x - 21 = 0
Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)
The factors are + 7 and - 3, since
7 × - 3 = - 21 and 7 - 3 = + 4, then
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 3 = 0 ⇒ x = 3
Yint is where the line crosses the y axis or where x=0
set x=0
3y+4x=15
x=0
3y+4(0)=15
3y+0=15
3y=15
divide by 3
y=5
yint is (0,5) or at y=5
Answer:
y= x^2 + 6
Step-by-step explanation:
y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2. For y= x^2 + 6, h = 0 and k = 6. Thus the vertex is (0, 6)
Point A means the smallest value (and = 4)
answer
<span>C. the smallest value</span>
Answer: No
Step-by-step explanation:
The distance hiked of Mark is represented by 2*t + 100
and the distance hiked of Zoe is represented by 2*t
here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.
We can represent this by:
2*t + 100 > 2*t
100 > 0
So the distance hiked by Mark is always bigger than the one of Zoe
