Answer:
x=-2, y=-6
Step-by-step explanation:
Simple substitution.
Since y is isolated in one of the equations already, you can plug it into the second equation.
x - 2(3x) = 10
x - 6x = 10
-5x = 10
x = -2
Sub. x = -2 into 3x = y:
3(-2) = y
y = -6
Answer:
x =2 y= 8
Step-by-step explanation:
Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:
![3x(2x - 8) -4(2x - 8)](https://tex.z-dn.net/?f=%203x%282x%20-%208%29%20-4%282x%20-%208%29%20)
![3x*2x -3x*8 -4*2x -4*-8](https://tex.z-dn.net/?f=%203x%2A2x%20-3x%2A8%20-4%2A2x%20-4%2A-8%20)
(this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
![6x^2 - 32x + 32](https://tex.z-dn.net/?f=%206x%5E2%20%20-%2032x%20%2B%2032%20)
Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
For this problem, you will have to use PEMDAS (Parentheses) (Exponents) (Multiplication/Division) (Addition/Subtraction)
First of all, you will want to solve for the values inside the parentheses first
40 <span>÷ 1+3-(21)+7-5 Now check for anything that includes multiplication/division and do that
40+3-21+7-5 All you have left now is addition and subtraction. It must go from left to right, therefore if addition is first, do addition, if subtraction is first, then do subtraction.
Final answer = 24</span>
Answer:
726√3
Step-by-step explanation:
Area of a Hexagon = (3√3)/2 x a²
Area of this Hexagon
= (3√3)/2 x 484
= 3√3 x 242
= 726√3