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artcher [175]
1 year ago
7

When there is no traffic, it takes Rina 4 hours to get from Boston to New York. Once, Rina started her trip to New York at a spe

ed of 60 mph, but after 2 1/3 hours of driving she stopped for 40 minutes. She had to drive at a speed of 45 mph for the rest of her trip. How long was her trip?
Mathematics
1 answer:
kumpel [21]1 year ago
4 0

The whole trip was 0.185 Km or 185 m long.

<h3>What is speed ?</h3>

Speed is the time rate at which an object is moving along a path.

Given:

For 7/3 hours speed is = 60 mph = 0.06 kmph

For 40 minutes or 2/3 hours = 0 mph

for 1 hours = 45 mph  or 0.045 kmph

The total distance she travels

= 7/3*0.06+ 2/3*0+ 1*0.045

=0.185 Km or 185 m

Learn more about this concept here:

brainly.com/question/1293031

#SPJ1

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The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug
ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0
3 years ago
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) Dawn writes 800 pages in 80 da
lilavasa [31]
Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".

From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).

Recall that the slope, m, of a line passing through points:
(x_1,y_1) and (x_2,y_2)
is given by
m= \frac{y_2-y_1}{x_2-x_1}

Function f(x) passes through points (0, 0) and (80, 800).

Thus the slope of function f(x) is given by
m= \frac{800-0}{80-0} = \frac{800}{80} =10


Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
m= \frac{12-(-6)}{4-2} = \frac{12+6}{2} = \frac{18}{2} =9

It can be seen that the slope of f(x) and the slope of g(x) are close.
</span>
7 0
3 years ago
A function which is used to represent a problem, and which can be used to solve the problem, is called a ____.
algol [13]

Answer:

i think it would be a model.

Step-by-step explanation:

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3 years ago
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andrezito [222]

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

f(x) = (x + 2)^2 + 2

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

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g(x) = (x -3 )^2 + 2

7 0
3 years ago
What’s 6 (3x + 5) please
olga nikolaevna [1]

6(3x+5)

6*3x=18x

6*5=30

<u>18x+30</u> is your answer! I hope this helped! :)

5 0
3 years ago
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