f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value o
vlada-n [284]
The discriminant of the function is 120, and the function has 2 different x-intercepts
<h3>How to determine the discriminant?</h3>
The function is given as:
f(x) = -7x^2 + 8x + 2
The discriminant (d) is calculated using:
D =b^2 - 4ac
So, we have:
D = 8^2 - 4 * (-7) * 2
Evaluate
D = 120
Because the value of D is greater than 0, then the function has 2 different x-intercepts
Read more about quadratic functions at:
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Answer:
your friend has 6 more marbles
Step-by-step explanation:
7×2=14
10×2=20
20-14=6
(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then
∂f/∂x = x²
∂f/∂y = y²
Integrating both of these equations with respect to x and y (respectively) gives
f(x, y) = 1/3 x³ + g(y)
f(x, y) = 1/3 y³ + h(x)
Differentiating with respect to the other variable gives
∂f/∂y = g'(y) = y²
∂f/∂x = h'(x) = x²
so it follows that
f(x, y) = 1/3 x³ + 1/3 y³ + C
for some constant C.
(b) By the gradient theorem,
Answer:
y-6=2(x-(-1))
Or simplified:
y-6=2(x+1)
Step-by-step explanation:
use the formula: y-y1=m(x-x1)
