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3 years ago

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The daily expenses for each of a transportation service company’s trucks is given by the function d(x) = 15 + 0.5x, where d(x) i

s the daily expense per truck (in dollars) and x is the daily mileage. The input for the function includes _______ .
Identify the domain of the given function.
a. all fractions
b. all integers
c. all real numbers
d. all positive real numbers

2 answers:

Over [174]3 years ago

8 0

For this case we have the following equation:

$d (x) = 15 + 0.5x$

Where, by definition, we have the following variables:

d (x): the daily expense per truck (in dollars)

x: the daily mileage

Therefore, the domain of the function is given by:

$x> 0$

Equivalently:

[0, ∞)

Answer:

The input for the function includes all positive real numbers

option d.

Zigmanuir [339]3 years ago

3 0

The input for the function includes all positive real numbers. The correct option among all the options that are given in the question is the fourth option or option "d". The other choices are incorrect and can be avoided. I hope that this is the answer that has actually come to your desired help.

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I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

Thanks sm need an answer asap

Novosadov [1.4K]

Answer:

0.8 s

Step-by-step explanation:

Horizontal velocity

= 61cos(35) = 49.968 f/s

To reach 40 feet, it takes

40/49.968 = 0.801 = 0.8 sec

7 0

2 years ago

If m is positive and k is negative what is m-k

Andrew [12]

M+k because the subtraction sign and negative cancel out to become positive

8 0

3 years ago

Read 2 more answers

Please help me!

Alex73 [517]

<h3>Answer: angle T = 70</h3>

======================================

Work Shown:

Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).

Draw diagonal line segment TR. This forms triangles TUR and TSR.

Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.

Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,

angle U = angle S = 90

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

Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.

(angleU)+(angleR)+(angleS)+(angleT) = 360

90+110+90+x = 360

290+x = 360

290+x-290 = 360-290 ... subtract 290 from both sides

x = 70

<h3>angle T = 70</h3>

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3 years ago

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denpristay [2]

Answer:

169.25 $inches^{2}$

7 0

2 years ago