MATHEMATICS HIGH SCHOOL

Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). Choose the statement that is true concerning these two values.A. The value of g(-2) is smaller than the value of g(4).

B. The value of g(-2) is the same as the value of g(4).

C. The values of g(-2) and g(4) cannot be compared.

D. The value of g(-2) is larger than the value of g(4).

Answers

Answer 1
Answer:

Answer:

D. The value of g(-2) is larger than the value of g(4).

Step-by-step explanation:

Given : Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4).

To find : Choose the statement that is true concerning these two values.

Solution : We have given that

g(x) = -3x + 4

g (-2) = -3 ( -2) + 4.

g (-2) = 6 + 4

g (-2) = 10 .

Now,

g (4) = -3 ( 4) + 4.

g (4) = -12 +4 .

g (4) = -8.

g (-2) > g (4)

10 > -8 .

Therefore, D. The value of g(-2) is larger than the value of g(4).
Answer 2
Answer: g(x) = -3x + 4
g(-2) = -3 x (-2) + 4 = 6 + 4 = 10
g(4) = -3 x 4 + 4 = -12 + 4 = -8

Therefore, D is the correct answer.

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15. What must be added to (P–3xº + 4.x –13) to obtain a polynomial which is exactly divisible by(x-3)?​

Answers

Answer:

I do it for the point haha

Step-by-step explanation:

you silly elf he

What multiplies to 0 and adds to 8

Answers

Anything multiplied by 0 will always equate to 0.

That means the two numbers are 8 and 0.

(0 × 8 = 0)
(0 + 8 = 8)

Which problem is being modeled on the number line?

Answers

I don’t see a number line but I can help

Answer:

Step-by-step explanation:

The diagram shows 2 wheels of radii 15 cm and 24 cm. Their centres, H and K, are 41 cm apart. ( Refer to the attatchment given )Help me find the lengthof the belt by providing workings. Thanks!

Answers

Hello,

1) \ncos(\widehat{HKR})= (9)/(41) ==\ \textgreater \ \widehat{HKR}=1.34948188...rad\n\nsin(\widehat{KHR})= (9)/(41) ==\ \textgreater \ \widehat{KHR}=0,22131444...rad\n\n

\widehat{QKA}=\pi-1,34948188...=1,792110769...rad\n\n$\overset{\frown}{QA}$=24*1,792110769...=43,010658459...\n\n\widehat{KHB}= (\pi)/(2)-0,22131444...=1,3494888...\n\n$\overset{\frown}{PB}$=15*1,3494888...=20,2422282\n\n

2)
|HR|=√(9^2+41^2) =41,976183723\n\n


length=2*(43,010658459+20,2422282+41,976183723)=210,458140764

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

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}
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

At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long, and it rotated 100° when Frank stepped on it. How far did the needle travel as it rotated?

Answers

Given:
length of the needle: 20 cm
angle 100°

We need to solve for the length of an arc to get the distance the needle has traveled.

Length of an Arc = n°/360° * 2πr
Length of an Arc = 100°/360° * 2 * 3.14 * 20cm
Length of an Arc = 0.28 * 125.6 cm
Length of an Arc = 35.17 cm

Answer: 100(pi)/9

Step-by-step explanation:

We use the equation (theta/360)(2)(pi)(r)

Theta = 100 (100 degrees of a 360 degree circle)

r = 10 (not 20 because that is the whole needle, we need half of 20 for the radius)

Plugging this in: 100/360 (2)(pi)(10)

2,000(pi)/360

Divide by 20 to simplify:(100\pi)/(9)
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