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3 years ago

#5 Find the unit rate of the tuation below. ou run 12 miles in 2 hours

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Answer:

6 miles per hour

Step-by-step explanation:

12 ÷ 2= 6

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Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi

Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

$x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}$

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0

3 years ago

10) Solve the inequality for x.

Stella [2.4K]

Answer:

it is D

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

According the bar graph above, which month saw the lowest number of student ticket sales?

lesantik [10]

There's no graph. Btw.

5 0

3 years ago

A. y=1/2x-2 <br> b. y=-1/2x+3<br> c. y=2x+1<br> d. y= -2x+4

Lyrx [107]

d. y=-2x+4

this is because in the formula used y=mx+b, b is represented as the the "y" intersept, which is 4. the slope, which is -2, is represented as x in this formula. therefore, D. y=-2x+4 is the correct answer

7 0

3 years ago

The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a

elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

$P(x)=-0.5x^2+23x+92$ -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

$PXx)\geq 225$ -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0

3 years ago