Answer:
Two
Step-by-step explanation:
x² + 4 = 4x + 1
x² - 4x + 3 = 0
x² - 3x - x + 3 = 0
x(x - 3) - (x - 3) = 0
(x - 3)(x - 1) = 0
x = 1, 3
y = 4(1) + 1 = 5
y = 4(3) + 1 = 13
Two solutions: (1,5) (3,13)
Answer:
k(4) = 10
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:
<u>Step 1: Define</u>
k(x) = 18 - 2x
k(4) is x = 4
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: k(4) = 18 - 2(4)
- Multiply: k(4) = 18 - 8
- Subtract: k(4) = 10
Answer:
Step-by-step explanation: a real one for the points
Answer:
Part A: James needs 10 1/2 cups of sugar if he uses all 7 cups of flour
Part B: James will make 72 muffins if he uses all 7 cups of flour
Step-by-step explanation:
*I had an easier time figuring out part B before I figured out part A
PART B:
If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of 2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72
James will get 72 muffins by using 7 cups of flour.
PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.
Hope this helps!!