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Hoochie [10]
2 years ago
11

A truck can be rented from company A for $100 a day plus $0.20 per mile. Company b charges $80 a day plus $0.30 per mile to rent

the same truck. Find the number of miles in a day at which the rental costs for company a and company b are the same.
Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0

Answer:

2000

Step-by-step explanation:

A(m) = 100 + 0.20m

B(m) = 80 + 0.3m

---------------------------

For company A to have a better deal, the truck must be driven more than __ miles per day.

Solve::

100 + 0.2m < 80 + 0.3m

-------

20 < 0.1m

m > 2000/1 = 2000 miles

---------------

2500 mi

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Find the absolute maximum and minimum values of the function below. f(x) = x3 − 9x2 + 3, − 3 2 ≤ x ≤ 12 Solution Since f is cont
Neko [114]

Answer:

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

Step-by-step explanation:

The correct statement is described below:

Find the absolute maximum and minimum values of the function below:

f(x) = x^{3}-9\cdot x^{2}+ 3, 2 \leq x \leq 12

Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.

First, we obtain the first derivative of the function and equalize it to zero:

f'(x) = 3\cdot x^{2}-18\cdot x

3\cdot x^{2}-18\cdot x = 0

3\cdot x \cdot (x-6) = 0 (Eq. 1)

As we can see, only a solution is a valid critical value. That is: x = 6

Second, we determine the second derivative formula and evaluate it at the only critical point:

f''(x) = 6\cdot x -18 (Eq. 2)

x = 6

f''(6) = 6\cdot (6)-18

f''(6) =18 (Absolute minimum)

Third, we evaluate the function at each extreme of the given interval and the critical point as well:

x = 2

f(2) = 2^{3}-9\cdot (2)^{2}+3

f(2) = -25

x = 6

f(6) = 6^{3}-9\cdot (6)^{2}+3

f(6) = -105

x = 12

f(12) = 12^{3}-9\cdot (12)^{2}+3

f(12) = 435

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

6 0
3 years ago
Type the missing numbers in this sequence: <br>93, __, __, 87, 85, 83​
Phantasy [73]

Answer:

if you noticed, it is reduces by 2

so the sequence would be

93, 91, 89, 87, 85, 83

-------------------------------------------------

Hope this helps!

5 0
2 years ago
Read 2 more answers
An object is dropped (g = 9.80 m/s ^ 2) and falls for 5.00 s before hitting the ground. How fan has the object fallen
mixer [17]

Answer:

122.5 m

Step-by-step explanation:

s = ½g.t²

= ½×9.8×5² = 122.5

5 0
2 years ago
What is the product simplest form stat any restrictions on the variable 3g^5/10h^2 x h^5/10g^2
Leno4ka [110]
The restriction are that neither h nor g may equal zero as that would lead to division by zero.

The simplification after units cancel is:

(3(gh)^3)/100 or if you prefer

0.03(gh)^3
6 0
3 years ago
Find the length of YZ
emmainna [20.7K]
Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________

Smaller triangle’s base length:

The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________

The finale!

Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)

Good luck to you!
5 0
2 years ago
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