1. Which of the following represents a function? x -2 -1 0 -1 -2
y 2 3 4 5 6

x 1 1 0 2 2
y 1 2 3 4 5

x 1 2 3 4 5
y 2 2 3 3 4

x 1 1 1 1 1
y 2 3 4 5 6

2. What is the domain of the function: {(2, 1); (4, 2); (6, 3); (8, 4)}?
{1, 2, 3, 4}
{1, 2, 3, 4, 6, 8}
{2, 4, 6, 8}
{6, 8}

3. What is the range of the function: {(2, 1); (4, 2); (6, 3); (8, 4)}?
{1, 2, 3, 4}
{1, 2, 3, 4, 6, 8}
{2, 4, 6, 8}
{6, 8}

4. Suppose p varies directly with d, and p = 7 when d = 3. What is the value of d when p = 28?
4/3
12
16
140/3

5. Given the function T(z) = 7 − z, find T(−4).
−11
11
−3
3
6. What is the equation of the graph?

f(x) = − |x| + 2
f(x) = − |x| − 2
f(x) = − |x + 2|
f(x) = − |x − 2|
7. The number of calories burned, C, varies directly with the time spent exercising, t. When Dennis walks for 4 hours, he burns 800 calories. Which of the following equations shows this direct linear variation?
C = t
C = 800t
C = 4t
C = 200t

Answers

Answer 1

Answer: $1.\n\#1\ not\ because\ for\ x=-2\to y=2\ and\ y=6\n\#2\ not\ because\ for\ x=1\to y=1\ and\ y=2\n\#3\ \boxed{IT'S\ OK}\leftarrow answer\n\#4\ not\ because\ for\ x=1\to y=2\ and\ y=3\ and...$

$2.\ (x;\ y)\to x\in D-domain\n\ntherefore:\n\n\{(2;1);\ (4;2);\ (6;\ 3);\ (8;\ 4)\}\n\n\boxed{The\ domain\ D=\{2;\ 4;\ 6;\ 8\}}$

$3.\ (x;\ y)\to y\in Range\n\n\{(2;\ 1);\ (4;\ 2);\ (6;\ 3);\ (8;\ 4)\}\n\n\boxed{the\ range:\{1;\ 2;\ 3;\ 4\}}$

$4.\n(p)/(d)=constans\n\n(28)/(d)=(7)/(3)\ \ \ \ |cross\ multiply\n\n7\cdot d=3\cdot28\ \ \ \ |divide\ both\ sides\ by\ 7\n\nd=(84)/(7)\n\n\boxed{d=12}$

$5.\ T(z)=7-z\n\nT(-4)\to z=-4\n\nput\ the\ value\ of\ z\ to\ (7-z):\n\nT(-4)=7-(-4)=7+4=\boxed{11}$

$6.\ny=|x|\to\ the\ axis\ of\ symmetry\ is\ OY\ (S_(OY))\n\ny=-|x|\to\ the\ axis\ of\ symmetry\ is\ OX\ (S_(OX))\n\nso....\ the\ y-intercept\ is\ (0;\ 2),\ therefore\ answer\ is\ \boxed{f(x)=-|x|+2}$

$7.\n\begin{array}{ccc}C&-&t\n800&-&4\end{array}\ \ \ \ |cross\ multiply\n\n4C=800t\ \ \ \ \ |divide\ both\ sides\ by\ 4\n\n\boxed{C=200t}$

Answer 2

Answer: 1. 3rd one, because for each x there's only one y.

2. The domain are x's, so it's {2, 4, 6, 8}

3. The range are y's, so it's {1, 2, 3, 4}

4.
$p=kd\n7=3k\nk=(7)/(3)\np=(7)/(3)d\nd=(3)/(7)p\nd=(3)/(7)\cdot28=12$

5. $T(-4)=7-(-4)=7+4=11$

6. $f(x) = - |x| + 2$

7.
$C=kt\n800=4k\nk=200\nC=200t$

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Answers

Hello,
Try to divide 7 by 9!

A soccer team played 160 games and won 65 percent of them. how many games did it win?A. 94
B. 104
C. 114
D. 124

Answers

The answer would be B. 104. If you multiply 160 by 0.65, you get 104, which is the amount of games they have won. If you were to multiply 160 by 0.35, you'd get the amount of games they lost. Hope this helped!

The soccer team won B. 104 games, go team!

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function .How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary. h=-16t^2+112t+30
A. 7 s; 30 ft
B. 3.5 s; 366 ft
C. 3.5 s; 618 ft
D. 3.5 s; 226 ft

Answers

To determine the time it takes for boulder to reach its maximum height, derive the equation and equate to zero.
h = -16t² + 112t + 30
dh / dt = 0 = -32t + 112
The value of t from the equation above is 3.5 s. Substitute this value of t to the original question,
h = -16(3.5 s)² + 112(3.5 s) + 30 = 226 ft
Thus, the answer is letter D.

PLEASE HELPHow many different outcomes are possible when 10 people race, assuming no one can tie?

Answers

The number of the outcomes will be 10 if there is not any tie.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

Here we need to find the outcomes of the winning of 10 people the combination will be:-

$^(10) C _1=(10!)/((10-1)!)=(10!)/(9!)\n\n\n^(10) C _1 = 10$

Hence the number of the outcomes will be 10 if there is not any tie.

To know more about combinations follow

brainly.com/question/11732255

#SPJ2

There are 10 possible outcomes because 1 can win if there are no ties.

Pls help me with this question!!!!!

Answers

Answer:

3,6,9,12,15,18,21,24,27,30,10,20,25

Ahmad has $x. Abu has $5 more than Ahmad. Razak has twice as much as Abu. Together they have $175. What is the value of x?

Answers

Abu X + 5

Razak 2x + 10

Ahmad X

Together 4x + 15

175 - 15 = 160

160 / 4 = 40

X = 40

Answer:$40

Step-by-step explanation:

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