I'm not really good at clearing fractions I need help with this problem please!

Answers

Answer 1

Answer: 1/4x + 3 = 2x - 5/8

Find least common multiplier of 4x,8 is 8x

Multiply by LCM = 8x

1/4 x * 8 x + 3 * 8 x = 2 x * 8 x - 5/8 * 8 x

Refine:

2 + 24 = 16 x² - 5 x

Subtract 16 x² - 5 x from both sides:

2 + 24 x - ( 16 x² -5 x) = 16 x² - 5 x - (16 x²-5 x)

Refine: - 16 x² - 29 x + 2 = 0

Solving with the quadratic formula :

for a = - 16 , b = 29 and c = 2

x1 = - 29 √ 29² - 4(-16)*2
-----------------------------
2 (-16)

x1 = - √ 969 - 29
---------------------
32

x2 = - 29 - √ 29² -4(-16)*2
-----------------------------
2(-16)

x2 = √ 969 + 29
---------------------
32

The final solutions to the quadratic equation are:

x1 = - √ 969 - 29
-------------------
32

x2 = √ 969 + 29
-------------------
32

hope this helps!

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if 11,100 is invested at 3.1 percent interest compounded monthly, how much will the investment be worth in 19 years?
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Which table shows exponential decay?

Answers

Answer:

Here is the correct table:

x y

1 16

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In 195019501950, the per capita gross domestic product (GDP) of Australia was approximately \$1800$1800dollar sign, 1800. Each year afterwards, the per capita GDP increased by approximately 6.7\%6.7%6, point, 7, percent. Write a function that gives the approximate per capita GDP G(t)G(t)G, left parenthesis, t, right parenthesis of Australia ttt years after 195019501950. Do not enter commas in your answer.

Answers

Answer:

G(t) = 1800(1.067)^t

Step-by-step explanation:

Answer:

G(t) = 1800(1.067)^t

Step-by-step explanation:

A short stop makes an error by dropping the ball. As the ball drops, its height (h) in feet, as a function of time (t) is modeled by h(t) = -16t2 + 3. A slow motion replay of the error shows the play at half speed. What function describes the height of the ball in the replay? (Hint: The function squares the time, so half the time is also squared in the new function.)A)h(t) = -16(0.5t)2 + 1.5
B)h(t) = (-16t2 + 3)/2
C)h(t) = -16(t/2)2 + 3
D)h(t) = -8(t)2 + 3

Answers

c because the time is being cut in half

Final answer:

The correct function that describes the height of the ball on a replay that runs at half speed is h(t) = -16(t/2)^2 + 3. This is because the time in the original function enters as a square, so it must be halved before being squared.

Explanation:

In this problem, a slow motion replay means the time factor is slowed down by a half. The original function is h(t) = -16t2 + 3. However, the time factor isn't just halved, it's halved before being squared, because time enters the function as a square. So in the replay function, every instance of t in the original function is replaced with 0.5t or t/2. Hence, the correct option that describes the height of the ball in the replay is h(t) = -16(t/2)2 + 3.

Learn more about Quadratic Functions here:

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Keiko is mixing 4 cups of concrete to make a stepping stone. She needs 1.5 cups of sand and 2.5 cups of cement mix. Which statement best describes how much of each ingredient Keiko needs to measure? A. Keiko should make it easy and just measure about 1 cup of sand and 3 cups of cement mix since she needs a total of 4 cups. B. Keiko should measure exactly 1.5 cups of sand and 2.5 cups of cement mix to be sure the concrete will set properly. C. Keiko should make it easy and just measure about 2 cups of each since she needs a total of 4 cups.

Answers

the answer is C and your welcome

Fill in the missing number in this sequence nine sixteen twenty five forty nine

Answers

9,162,549 Hope this helps not sure if its correct but i think it is :)

What is the result of investing 1,000 dollars plus interest? a) 1k plus interest b) 12k plus interest c) Not usually d) $1,000 plus interest

Answers

Answer: A

Step-by-step explanation: Simple Interest: A = P(1+rt)

P: the principal, the amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160