MATHEMATICS HIGH SCHOOL

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What is the value of g(−3) when g(x)=2x−2?

g(−3)= ________

Answers

Answer 1
Answer: g(-3) = 2x - 2      Plug in -3 for x
        = 2(-3) - 2   Multiply
        = -6 - 2       Subtract
        = -8

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One number is 6 more than another.  Their product is is 520.  Find the numbers
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Find the product of (4x − 3)(2x2 − 7x + 1). 8x3 − 22x2 + 17x− 3

8x3 + 8x2 + 4x − 3

8x3 − 34x2 + 25x − 3

8x3 − 42x2 + 25x − 3

Answers

(4x - 3)(2x^2 -7x + 1)=\n\n(4x)(2x^2) - (4x)(7x) + (4x)(1) - (3)(2x^2) + (3)(7x) - (3)(1) =\n\n8x^3-28x^2 + 4x - 6x^2+21x-3=\n\n8x^3-34x^2+25x-3

The correct answer is C.

Find the product of (4x − 3)(2x2 − 7x + 1).

Answer:

8x3 − 34x2 + 25x − 3

(Took the exam)

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?2feet

16 feet

32 feet

64 feet

Answers

Answer:

Option D - 64 feet.

Step-by-step explanation:

Given : Ja'Von kicks a soccer ball into the air. The function f(x) = -16(x-2)^2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds.

To find: What is the maximum height the ball reaches?

Solution :

To find the maximum height of the ball we find the derivative,

f(x) = -16(x-2)^2 + 64

Derivate w.r.t x

f'(x) = -16* 2(x-2)+0      

f'(x) = -32(x-2)    

To find maxima put f'(x)=0

0= -32(x-2)      

32x=64        

x=2      

Now, we find the second derivative form maximum,

f''(x) = -32<0      

Therefore, The maximum point is at x=2

Substitute x=2 in the given function,

f(2) = -16(2-2)^2 + 64        

f(2) = -16(0)+ 64

f(2) = 64

Therefore, Option D is correct.    

The maximum height the ball reaches is 64 feet.                      

Answer:

D

Step-by-step explanation:

For an upcoming school field trip, there must be one adult supervisor for every five children.If the bus seats 40 people, how many children can go on the trip?

Answers

the answer is 30, i did 6(the number of kids and adult combined) times 6( the highest number i could get to without going over the limit 40) hope this helped

Answer: 32 Childrens maximum I think

Step-by-step explanation: I believe it is 32 because there will be 8 adults for every 32 children (ratio 1 adult:5 children) then convert the ratio to ?adult: availaible seats (40) so multiply by 8 since 5×8 equals 40 and 8×1 equals 8 but the adults have their spots too so 40-8=32

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.Which value can be used as the common ratio in an explicit formula that represents the sequence?


2
6
12

Answers

The common ratio is the current number divided by the previous. So the ratio is 1/2

The sequence is 12, 6, 3, 3/2, 3/4 ...

You can obtain any number multiplying the previous number times 1/2.

6 = 12 *(1/2)

3 = 6*(1/2)

3/2 = 3*(1/2)

Answer:

Common ratio = (1)/(2)

Step-by-step explanation:

A sequence that progresses geometrically has the first term as 12.

Each number is the previous number divided by 2.

so the sequence will be 12, 6, 3, 1.5...........

Explicit formula of a geometric sequence is given by

T_(n)=a(r)^(n-1)

Where T_(n) = nth term of the sequence

a = first term

r = common ratio

and n = number of term

In this sequence common ratio = \frac{\text{Successive term}}{\text{previous term}}

= (6)/(12)

= (1)/(2)

Therefore, common ratio will be (1)/(2)

Take a look at the figure. What are the coordinates of the point labeled A in the graph shown?A. (2, 2)
B. (–2, 4)
C. (2, –2)
D. (–2, 2)

Answers

The coordinates of the point labeled A in the graph shown is (2,-2). The 2 is in the x axis while -2 is in the y axis of the graph while point B is in coordinates (-2,-2) and  point C is in coordinates (-2,4).

Fandango has movie tickets on sale for 1\2 price. You buy 2 $12 tickets and you must pay 6% sales tax. What is your total cost after discount and taxes?​

Answers

Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Final answer:

The total cost after the discount and taxes would be $13.44.

Explanation:

To find the total cost after the discount and taxes, we first need to determine the discount amount.

Since the tickets are on sale for 1/2 price, the discount would be half of the original cost of the tickets.

So the discount amount would be 1/2 * $12 * 2 = $12.

Next, we need to calculate the sales tax, which is 6% of the original cost of the tickets.

The sales tax would be 0.06 * $12 * 2 = $1.44.

Finally, we can calculate the total cost by adding the original cost of the tickets, the sales tax, and subtracting the discount amount.

The total cost would be $12 * 2 + $1.44 - $12 = $13.44.

Learn more about Total cost after discount and taxes here:

brainly.com/question/2602938

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