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Andreas93 [3]
2 years ago
11

Helpp the topic is about limits

Mathematics
1 answer:
erik [133]2 years ago
8 0

Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>

<em>kx - 3 =  {x}^{2}  + k</em>

1. Set both equations equal.

- k -  3 = 1 + k

2. Substitute <em>x</em><em> </em>= -1.

- 3 = 1 + 2k

3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.

- 4 = 2k

k =  - 2

Thus, <em>k</em><em> </em>= -2. Check by graphing the function.

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kondor19780726 [428]
A. 

To solve, you need to get the variable by itself. 
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8 0
3 years ago
Read 2 more answers
Angel and Jayden were at track practice. The track is 2/5 kilometers around.  Angel ran 1 lap in 2 minutes.  Jayden ran 3 laps
choli [55]

Answer:

6/25 km in 1 min; or 0.24 km/min

Step-by-step explanation:

The info about Angel is not necessary.

Jayden runs 3 laps in 5 mins

Each lap is 2/5 km, so Jayden runs 3 x (2/5 km) in 5 min = 6/5 km in 5 min.

Distance = rate x time

6/5 km = rate (5 min)

We want to isolate r (rate), so divide both sides by 5 min

6/5 km ÷ 5 min = r

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So, Jayden runs 6/25 km in 1 min.

7 0
2 years ago
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Which of the following would best represent a cosine function with an amplitude of 3, a period of pi/2 , and a midline at y = –4
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To transform the function f(x)=cos(x) to have the midline y=-4 we need to subtract f(x) by 4, so we have y=f(x)-4, 

To transform the function f(x)=cos(x) to have period of \frac{ \pi }{2}, we need to divide the original period 2 \pi by 4, so we have y=f(4x). Note that it is the 4x gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes

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8 0
3 years ago
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netineya [11]

Answer:

x = 0.447

Step-by-step explanation:

You need to use your graphing calculator for this.

In y=, put 13(0.25)^x in Y1 and put 7 in y2. Using 2nd trace, find the intersections.

The answer I got was x = 0.447.

3 0
3 years ago
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Step-by-step explanation:

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