The object reaches the lowest height at 5 seconds
<h3>How to determine the time?</h3>
The function is given as:
f(t) = -2t² +22t + 6
Differentiate the function
f'(t) = -4t +22
Set to 0
-4t +22 = 0
Subtract 22 from both sides
-4t = -22
Divide both sides by -4
t = 5.5
Remove decimal points
t = 5
Hence, the object reaches the lowest height at 5 seconds
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Answer:
Step-by-step explanation:
The parent function is given as:
We want to find a new function that results after shifting f(x), 2 units to the right.
Let that function be g(x), then
We replace x by x-2 in f(x) to get:
When we simplify, we obtain:
Its y=3/4x+3
you can solve it
-3x+4y=12
add 3x both sides
4y=3x+12
divide 4 by both sides
y=3/4x+4
Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.
Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.
Answer:
Step-by-step explanation:
a) a^3-64b^3
=(a)^3-(4b)^3
=(a-4b)(a^2+4ab+16b^2)
b) 3x^3-81y^3z^6
=3(x^3-27y^3z^6)
=3{(x)^3-(3yz^2)^3}
=3(x-3yz^2)(x^2+3xyz^2+9y^2z^4)
c)16a^3b^3-54c^3d^3
=2(8a^3b^3-27c^3d^3)
=2{(2ab)^3-(3cd)^3
=2(2ab-3cd)(4a^2b^2+6abcd+9c^2d^2)
hope u got!!
