Answer:
(y + 7i)(y - 7i)
Step-by-step explanation:
It cannot be factored using real numbers, but consider
7i × - 7i
= -49i² and i² = - 1
= 49
The factoring as a difference of squares to obtain
y² + 49 = (y + 7i)(y - 7i)
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-1, 4)
Point (3, 12)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- [Fraction] Subtract:
- [Fraction] Divide:
25 because 4(8)-7 = 32-7 = 25
Answer:
y = -6/5x - 3
Step-by-step explanation:
Point Slope Form: (y - y1) = m(x - x1)
<u>Step 1: Find Slope</u>
m =
m =
m =
m =
m =
<u>Step 2: Plug into Point Slope Form</u>
(y - (-3)) = -6/5(x - 0)
y + 3 - 3 = -6/5x - 3
y = -6/5x - 3
Answer: y = -6/5x - 3
Answer:
We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.
The equation of the least squares regression line is:
Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:
Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.