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1 year ago

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Mathematics

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Anna11 [10]1 year ago

7 0

Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we consider:

The flat fee as the y-intercept.

The hourly rate as the slope.

Hence the costs for x hours of moving from each company are given as follows:

A(x) = 50 + 25x.

B(x) = 40 + 30x.

C(x) = 60 + 20x.

D(x) = 150 + 5x.

For 7 hours, the costs are given as follows:

A(7) = 50 + 25 x 7 = $225.

B(7) = 40 + 30 x 7 = $250.

C(7) = 60 + 20 x 7 = $200.

D(7) = 150 + 5 x 7 = $185.

Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.

More can be learned about linear functions at brainly.com/question/24808124

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two brothers marco and fernando are training for a marathon marco runs at a rate of 6miles per hor. Fernando funs at at a rate o

satela [25.4K]

We know that
speed=distance/time
solve for time
time=distance/speed

in this problem
Marco runs at a rate of 6 miles per hour.
Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes

the answer is
0.25 hour (15 minutes)

Alternative Method
Let
x---------> Fernando's distance when Marco is 0.3 miles apart

Fernando funs at a rate of 7.2 miles per hour
for distance =x
time=x/7.2------> equation 1

Marco runs at a rate of 6 miles per hour.
for distance=x-0.30
time=(x-0.30)/6------> equation 2

equate equation 1 and equation 2
7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles

time=x/7.2-----1.8/7.2=0.25 hour

6 0

3 years ago

For this set of data, 89, 88, 84, 87, 89, 84, 84, 83, 85, 89, 84 Find the standard deviation

Ilia_Sergeevich [38]

Answer: 2.2962419891482

Step-by-step explanation: First get the mean of the numbers or the average

the mean in this case is 86

then subtract each number by the mean of 86

the numbers then become : 3, 2, -2, 1, 3, -2, -2, -3, -1, 3, -2

then square all the numbers to get : 9, 4, 4, 1, 9, 4, -4, 9, 1, 9, 4

then find the mean of those numbers which is 5.2727272727273

then find the square root of this number to find the standard deviation

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3 years ago

Expression is equivalent to 486 – 9 + 6 + 33 × 2

mojhsa [17]

Answer:

549

Step-by-step explanation:

A calculator can give you an equivalent expression.

I might work from the middle outward:

= 486 -3 +33×2

= 483 +66

= (480 +60) + (3 +6)

= 540 + 9

= 549

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3 years ago

Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 + 7x

Vinil7 [7]

Answer:

(12-7x)

Step-by-step explanation:

144 − 49x²

by observation, we can see that 144 = 12² and 49 = 7²

hence we can rewrite the equation

144 − 49x²

= 12² - 7²x²

= 12² - (7x)²

recall that the expression x² - y² = (x+y)(x-y)

hence,

12² - (7x)²

= (12 + 7x)(12-7x)

(12-7x) appears in the expression above, hence 12 -7x is a factor

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3 years ago

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mel-nik [20]

Answer:

33.3333333333

Step-by-step explanation:

One coin would equal over 11 more would be 8.3333333333 so time that by 4

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2 years ago