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Lerok
2 months ago
13

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Mathematics
2 answers:
Svet_ta [12.7K]2 months ago
7 0
The function in vertex form is evaluated to be.
Zina [12.3K]2 months ago
7 0
The answer is A on Edge 2020.
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Anya graphed the line (y−2)=3(x−1) on the coordinate grid. A coordinate plane with a line passing through the points, (negative
Inessa [12570]

Answer:

Anya's line has a slope of m = 3

Step-by-step explanation:

Explanation:-

Anya created a graph representing the line

                             (y−2)=3(x−1)

From this, we can deduce that the slope-intercept representation is

                                y = mx +c

Now by rewriting Anya's line

                           y−2=3(x−1)

            ⇒            y - 2 = 3x - 3

          ⇒             y = 3x - 3 + 2

         ⇒              y = 3 x - 1

<pBy comparing this with the slope-intercept structure<p                         y = mx +c<pwe conclude that Anya's slope is m = 3, and y-intercept is C = -1

7 0
2 months ago
Read 2 more answers
(a) For what values of k does the function y = cos(kt) satisfy the differential equation 81y'' = −4y? (Enter your answers as a c
tester [12383]

Answer:

k = \frac{2}{9}, k=\frac{-2}{9}

Step-by-step explanation:

The initial scenario is a specific case of the subsequent one, so we will address the second case first.

Consider y = A\sin(kt) + B\cos(kt). Through the utilization of derivatives and trigonometric function properties, it is determined that

y' = A\cdot k \cos(kt)- B \cdot k \sin(kt) = k (A\cos(kt)-B\sin(kt))

y'' = k(-A\cdot k \sin(kt)-B\cdot k \cos(kt)) = -k^2(y)

The equation is represented as 81y''=-4y. It's important to note that since y'' = -k^2y it leads to the equation

-k^2 81y=-4y,

which signifies that k^2 = \frac{4}{81}. Consequently, k=\pm\frac{2}{9}

It's notable that in this instance, the value of k is independent of A and B. Thus, it applies universally to any values of A and B. The first scenario is included since it corresponds to A=0 and B=1.

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2 months ago
Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the str
Svet_ta [12734]
The computed value is x=14%. I just completed the quiz.
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1 month ago
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What is 65, 124 rounded to the nearest thousand
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65,000. I'm quite certain because a 1 wouldn't be sufficient to shift the 5 higher.
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