MATHEMATICS HIGH SCHOOL

Find the next two terms of the sequence: 80, ?40, 20, ?10, ______, ______. A) 20, 40 B) 1 2 , 1 4 C) 5, ? 5 2 D) ?30, ?40

Answers

Answer 1
Answer:

Answer:

The correct option is C) 5, 5/2

The sequence given is:

80, 40, 20, 10, _____, ______

If we look at the given numbers, it appears that every next number is obtained by dividing the previous number of 2.

Like 40 is obtained by dividing 80 by 2

(80)/(2)=40

Similarly:

(40)/(2)=20

(20)/(2)=10

(10)/(2) = 5

(5)/(2)

Therefore, the complete sequence is:

80, 40, 20, 10, 5, 5/2

Hence the correct option is C) 5, 5/2
Answer 2
Answer:

Answer:c

Step-by-step explanation:

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If f(x) = x(2x – 1) and g(x) = 2x – 1, find f(x)/g(x).

Please show work and please answer soon

Answers

Answer: 9.40492 units

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the length of each leg of the triangle, then add all lengths to find the perimeter

Line WX has a length of \sqrt{3^(2)+3^(2) } =√(18) =3√(2)

Line WY has a length of \sqrt{3^(2)+1^(2) } =√(10)

Line XY has a length of \sqrt{2^(2) } = 2

The perimeter of the triangle is 3√(2) +√(10) +2=9.40492

On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true?

Answers

When you translate a figure, none of the lengths change and none of the angles change. The only equation you listed that does not equate two translated lengths or two translated angles is G'H' = 8 units. There is nothing in the statement of the problem that requires this to be true.

Answer:

It's D: m∠HI'J = m∠H'IJ'

Step-by-step explanation:

Erica makes 4,840$ monthly. What is the maximum loan she can take out on a house?

Answers

The maximum loan she can take out on a house is $174,240

Given that f
(
x
)
=
3
x
−
7
and
g
(
x
)
=
3
x
, evaluate
f
(
g
(
−
1
)
)

Answers

Answer:  f(g(-1)) = -16

Step-by-step explanation:

First, we need to find g(−1), which means we substitute -1 in place of x in the function g(x):

g(-1) = 3(-1) = -3

Next, we substitute g(-1) into f(x):

f(g(-1)) = f(-3) = 3(-3) - 7 = -16

Therefore, f(g(-1)) = -16.
The guy above me is correct

What is the solution of this system of linear equations 3y=3/2x+6

Answers

Answer:

C.) No solution

Step-by-step explanation:
3y=3/2x+6

Just divide 3 by both sides. 

3/2 divided by 3/1
3/2 * 1/3 = 1/2

y = 1/2x + 2 is the solution

How do you solve 4(6x-1)=120 if you're solving for x

Answers

4(6x-1)=120
Multiply the number outside the parenthesis(4) with the numbers inside the parenthesis(6 and -1)
24x-4=120
Add 4 to both sides
24x=124
Divide both sides by 24
Final Answer: x= 5.1667 or 5 1667/10,000
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A) Draw a number line from 0 to 2. Then draw and label the points 2 and 0.2. B) use the number line to explain why 2 is 10 times the value of 0.2​