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4 years ago

Please help me out on this question

Mathematics

1 answer:

Mariulka [41]4 years ago

7 0

At x=2, y=4

At x=4, y=16

So the total change in y from x=2 to x=4 is 16-4=12

And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6

Hope that helps. Let me know if you have any questions.

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what is the equation of a line, in point-slope form, that passes through (5, -3) and has a slope of 2/3? please help me

Brums [2.3K]

y + 3 = $\frac{2}{3}$ (x - 5)

the equation of a line in point- slope form is

y - b = m ( x - a )

where m is the slope and (a, b) a point on the line

here m = $\frac{2}{3}$ and (a,b) = (5 , - 3 )

y + 3 = $\frac{2}{3}$ (x - 5 ) ← in point-slope form

3 0

3 years ago

Please help!!!!!!!!!!!!!!!

Andreas93 [3]

Answer:

a) 12/91

b) about 67 times; (66 2/3)

Step-by-step explanation:

a) total of frequencies is 90 and frequency for a 3 is 11

however, the question said if the dice is rolled once more, then that raises the 11 to 12 and the frequency total from 90 to 91

let 'x' = # of sixes rolled out of 500 times

b) 12/90 = x/500

cross-multiply:

90x = 6000

x = 66 2/3

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3 years ago

When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f

nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

$10=2(x+y)$

<u>Against the current:</u>

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

$8=2(x-y)$

Divide both equations by 2:

$x+y=5\\ \\x-y=4$

Add these equations:

$x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h$

Subtract these two equations:

$(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h$

4 0

3 years ago

12q - 6 + 7 - 3q + q

s344n2d4d5 [400]

Answer:

10q - 1

Step-by-step explanation:

3 0

3 years ago

The cost of a 12 ounce bag of cashews is $5.86. What is the cost per ounce of the cashews?

Afina-wow [57]

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3 0

3 years ago