Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ =
t=2. That means after 2 sec. the arrow reach the maximum height
Expression 4 (3n - 5) is equivalent to <em><u>C: 12n - 20</u></em>
<h3>Further explanation </h3>Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
is a fixed value, can be a number
Calculation operations include multiply, divide, add, substract, etc.
There are several properties in integer multiplication operations
Multiplication between integers will produce integers too
a x b = b x a
ax (bxc) = (axb) xc
ax1 = 1 x a = a
*<em> addition </em>
ax (b + c) = axb + axc
* <em>substraction </em>
ax (b-c) = axb - axc
We can use distributive property of <em>substraction </em>to solve the problem
"Equivalent to" means having the same value.
From the answer choices , which produce the same expression is C. 12n-20
<h3>Learn more </h3>6 squared divided by 2 (3) +4
an algebraic expression
Keywords: PEMDAS, arithmetic operations, multiply, Parentheses, equivalent to
