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3 years ago

Describe the graph of y > mx, where m > 0.

Mathematics

2 answers:

Blizzard [7]3 years ago

5 0

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0).

Since m>0 the slope is positive, meaning the line goes up.

Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

So it will for sure include ALL quadrant II (with -x and +y values) and NONE of the quadrant IV (with +x and -y values) since the line is passing through the origin (0,0).

inessss [21]3 years ago

5 0

Answer:

The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.

Step-by-step explanation:

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In a bag of keys, there are 12 silver keys, 5 black keys, 11 copper keys, and 2 painted keys of various colors. One key is drawn

umka2103 [35]

The total number of keys equals:
12 + 5 + 11 + 2 = 30 keys

The probability to pick a sliver key is:
12/30 = 2/5

The probability to pick a copper key is:
11/30

Hope that helps

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3 years ago

5. A Ferris wheel at an amusement park measures 16m in diameter. It makes 3 rotations

galina1969 [7]

Following are the responses to the given points:

For point a:

$Diameter\ (d)= 16\ m\\\\$

Calculating the 3 rotations for every minute:

Calculating time for completing 1 rotation:

$1\ rotation=\frac{60}{3}= 20\ second\\\\period=20 \ second\\\\$

The standard form of the equation of the sine and cosine function is:

$y=A \sin \{ B(x-c)\} +D\\\\y=A \cos \{ B(x-c)\} +D\\\\$

Calculating the Amplitue:

$A=\frac{max-min}{2}=\frac{17-1}{2}=\frac{16}{2}=8\\\\Period=\frac{2\pi}{B}\\\\20=\frac{2\pi}{B}\\\\B=\frac{2\pi}{20}\\\\B=\frac{\pi}{10}\\\\$

Calculating the phase shift:

for $\sin$ function: $c=5$

for $\cos$ function: $c=10$

Calculating the vertical shift:

$\to D=\frac{max+ min }{2}=\frac{17+ 1}{2}=\frac{18}{2}=9\\\\y=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\y=8 \cos \{ \frac{\pi}{10}(t-10)\} +9\\\\$

For point b:

$y> 12\ m\\\\12=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\12-9=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\3=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\\frac{3}{8}=\sin \{ \frac{\pi}{10}(t-5)\} \\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (0.38439677)=(t-5) \\\\1.22357+5=t \\\\t=6.22357\ second\\\\t=6.22\ second\\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (2.7571961)=(t-5) \\\\t=8.7764+5\\\\t=13.78\ second\\\\t_2-t_1=13.7764-6.22357= 7.55283\approx 7.55\ second \\\\$

Learn more:

Rotation: brainly.in/question/39626227

5 0

3 years ago

Is this graph proportional

erica [24]

Yes the graph is proportional

6 0

3 years ago

Someone please help me answer this!

Andrew [12]

Answer:

Step-by-step explanation:

I just know because I a smart people you know fow lol

7 0

3 years ago

Read 2 more answers

HELPP! Calculate S22 for the arithmetic sequence in which a12=2.4 and the common difference is d=3.4

d1i1m1o1n [39]

Answer:

S22 for the arithmetic sequence is:

First option: 15.4

Step-by-step explanation:

a12=2.4

d=3.4

S22=?

Sn=(a1+an)n/2

n=22

S22=(a1+a22)22/2

S22=(a1+a22)11

ak=aj+(k-j)d

a12=a1+(12-1)d

2.4=a1+11(3.4)

2.4=a1+37.4

Solving for a1: Subtracting 37.4 both sides of the equation:

2.4-37.4=a1+37.4-37.4

Subtracting:

-35=a1

a1=-35

a22=a12+(22-12)d

a22=2.4+10(3.4)

a22=2.4+34

a22=36.4

S22=(a1+a22)11

S22=(-35+36.4)11

S22=(1.4)11

S22=15.4

8 0

3 years ago