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kozerog [31]
3 years ago
15

Some one please help

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer: d

|4x + 1| ≤ 5

⇒ - 5 ≤ 4x + 1 ≤ 5

⇔ -6 ≤ 4x ≤ 4

⇔ -1.5 ≤ x ≤ 1

⇒ x ∈ [-1.5; 1]

Step-by-step explanation:

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where does the graph of the function y=tan(x) have asymptotes? at the values of x where cos(x)=0 at the values of x where sin(x)
Gnom [1K]
Answer: at the values where cos(x) = 0

Justification:

1) tan(x) = sin(x) / cos(x).

2) functions have vertical asymptotes at x = a if Limit of the function x approaches a is + or - infinity.

3) the limit of tan(x) approaches +/- infinity where cos(x) approaches 0.

Therefore, the grpah of y = tan(x) has asymptotes where cos(x) = 0.

You can see the asympotes at x = +/- π/2 on the attached graph. Remember that cos(x) approaches 0 when x approaches +/- (n+1) π/2, for any n ∈ N, so there are infinite asymptotes.



7 0
3 years ago
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7 0
3 years ago
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A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.
yan [13]
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
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Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
6 0
2 years ago
Which values of x satisfy this equation √x^2-10x+25+12√x=15√x
Effectus [21]

Answer:

If I am not mistaken, I believe the answers are 1.425 and 17.57, so A and D.

Step-by-step explanation:

5 0
3 years ago
Round 963 to 1 significant figure.
dedylja [7]
963 would be rounded to become 1000.
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7 0
3 years ago
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