Answer:
(0,2)
Step-by-step explanation:
The Y-intercept is the point that passes the Y-axis (vertical axis)
<h3>Solution:</h3>
-38d - 57 = -19d + 76
or, -38d + 19d = 76 + 57
or, -19d = 133
or, d = 133/-19 = -7
<h2>Answer: d = -7</h2>
<h3>To Check:</h3>
By putting the value of d, we get
-38(-7) - 57 ≥ -19(-7) + 76
or, 266 - 57 ≥ 133 + 76
or, 209 ≥ 209
Hence, Verified.
In order to find out where your holes and asymptotes are is to factor both the top and the bottom of that rational function. The numerator factors to (x+2)(x-2) and the denominator factors to x(x+1)(x-2). So since there is an (x-2) in both the numerator and denominator, that is called a removable discontinuity which we also know as a hole. The other factors in the denominator, the x and the (x+1) are vertical asymptotes, or values of x that make the rational function undefined (you're NEVER allowed to have a 0 in the denominator of a fraction!). So your correct choice is c. The way you find the y coordinate for the hole is to plug in 2 for x and solve it for y. No biggie.
Answer:
(-4 , 1)
Step-by-step explanation:
We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:
x = -b/2a
In our case b = 8, a = 1, so:
x = - 8/2 = -4
We plug this value into our original equation and find the y of the vertex:
(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1
Vertex = (-4 ; 1)
