4x+8=6x-14 Prove: x= 11

Integer operations 11. -60 12. 10 13. -9 14. 14 15. 37

vlada-n [284]

Answer:

$11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100}$

3 0

3 years ago

Sea level is considered to be 0 feet. A probe released at sea level dropped at a constant rate for 3.25 minutes, reaching an ele

HACTEHA [7]

d = r * t

d/t = r

-35.75 / 3.25 = r

-11 = r

r = -11 ft / min

d = r*t

d = -11 ft/min * 1 min

d = -11 ft

The probe is 11 feet below sea level after 1 minute

5 0

3 years ago

An alrcraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

rewona [7]

C(x) should be ;

C(x)=0.9x² - 306x +36,001

Answer:

$9991

Step-by-step explanation:

Given :

C(x)=0.9x^2 - 306x +36,001

To obtain minimum cost :

Cost is minimum when, C'(x) = 0

C'(x) = 2(0.9x) - 306 = 0

C'(x) = 1.8x - 306 = 0

1.8x - 306 = 0

1.8x = 306

x = 306 / 1.8

x = 170

Hence, put x = 170 in C(x)=0.9x²- 306x +36,001 to obtain the

C(170) = 0.9(170^2) - 306(170) + 36001

C(170) = 26010 - 52020 + 36001

= 9991

Minimum unit cost = 9991

5 0

3 years ago

The table shows three unique functions.

Lady_Fox [76]

The true statements about the functions are:

g(x) has the maximum greatest value.
h(x) has a range of all negative numbers.

<h3>How to determine the true statements?</h3>

The complete question is in the attached image

From the image, we have:

g(x) has the greatest maximum value of 7 1/2
All the values of h(x) are negative
All the values of f(x) are positive

This means that the true statements about the functions are g(x) has the maximum greatest value and h(x) has a range of all negative numbers.

Read more about domain and range at:

brainly.com/question/17019835

#SPJ1

4 0

2 years ago

Consider the oriented path which is a straight line segment L running from (0,0) to (16, 16 (a) Calculate the line integral of t

aalyn [17]

This question is missing some parts. Here is the complete question.

Consider the oriented path which is a straight line segment L running from (0,0) to (16,16).

(a) Calculate the line inetrgal of the vector field F = (3x-y)i + xj along line L using the parameterization B(t) = (2t,2t), 0 ≤ t ≤ 8.

Enter an exact answer.

$\int\limits_L {F} .\, dr =$

(b) Consider the line integral of the vector field F = (3x-y)i + xj along L using the parameterization C(t) = $(\frac{t^{2}-256}{48} ,\frac{t^{2}-256}{48} )$ , 16 ≤ t ≤ 32.