Answer:
rate of change
Step-by-step explanation:
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
The way to answer this problem given different points and different equations in the choices is to do substitution and trial and error. In this regard, we substitute for example 4 to x in the equations and check which of them yields 89. The answer is D.
Answer:
4y + 8 vegetable seeds
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
We know that Frank has 2 gardens, one with <em>y</em> vegetable seeds and another with 3<em>y</em> + 8 vegetable seeds. If we are trying to find the <em>total</em> amount of seeds planted, we must add the 2 gardens together:
Garden 1: <em>y</em>
Garden 2: 3<em>y</em> + 8
Garden 1 + Garden 2 = Total veggie seeds
<em>y</em> + 3<em>y</em> + 8 = Total veggie seeds
Total veggie seeds = 4y + 8
Answer:
arg (w)=π/4 and |w|=√2
Step-by-step explanation:
If z= x+iy is a complex number, then |z| is given by √ ( x²+y² ).
And the argument (z) is given by Ф = tan⁻¹ ( y/x ) where -π < x < π.
Now, in our case w= 1+i i.e. x=1 and y=1.
Therefore, arg (w) = tan⁻¹ (1/1) = π/4 and |w|=√ ( 1²+1² ) = √2 (Answer)
Answer:
x = 13.444 ... (repeating decimal) or;
x = 13 4/9
Step-by-step explanation:
-0.65 + 0.45x = 5.4
First we will add 0.65 to each 'side' of the equation.
0.65 + (-0.65) + 0.45x = 0.65 + 5.4
0.65 + (-0.65) = 0
0.65 + 5.4 = 6.05
Input the numbers, and now the equation looks like this:
0 + 0.45x = 6.05
Remove the zero:
0.45x = 6.05
Divide each 'side' by 0.45.
0.45x ÷ 0.45 = 6.05 ÷ 0.45
0.45x ÷ 0.45 = 1x = x
6.05 ÷ 0.45 = 13.444 ... repeating decimal
Input the numbers, and now the equation looks like this:
x = 13.444 ... repeating decimal
We can also write this as:
x = 13 4/9 in fraction form
