Answer:
4 / 6
Step-by-step explanation:
Fred fraction = 2/3
Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;
x / 6
Since her fraction is equal to that of fred, we have;
x / 6 = 2 / 3
x = 6 * 2 / 3 = 4
Sarah Fraction = 4 / 6
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
To learn more on derivatives: brainly.com/question/25324584
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Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1)
m =
= - 2
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - 2x + 3 → A
Answer:
49.6 is what y is equal to
Step-by-step explanation
Answer: Slope is m = 2/3
Step-by-step explanation:
-You have exactly four points on a table:

-Use the slope formula and use any two points from those four points in order to find the slope:

-The two points I use are
and
for the equation:


So, the slope of the table is
.