Answer:
1.) -4
2.) 3
3.) 4
If you need a little extra help knowing what to do with these problems, you should draw a number line that includes negative and positive numbers. You can count along the number line. It's a good visual aid.
Step-by-step explanation:
Factor by grouping,
Complete the square, with the x variables,
Factor out 25 for the y variables
Complete the square
Simplify the perfect square trinomial
Make the right side be 1 so divide everything by 25.
Here our center is (7,2).
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer:
It is a chemical change ⇒ 1st answer
Step-by-step explanation:
* Lets explain the statements to solve the problem
- <u><em>A chemical change</em></u> occurs when a new substance is formed through
a chemical reaction
- Ex: cooking an egg
- <u><em>Change of reaction</em></u> is the rate of reaction it can be decreases or
increasing
- <u><em>A phase change</em></u> is a change from one state to another without a
change in chemical composition
- Ex: Condensation: the substance changes from a gas to a liquid
- <u><em>A physical change</em></u>, such as a state change or dissolving, but does
not create a new substance
- Ex: Breaking a glass
* Lets solve the problem
- A piece of toast came out of the toaster very overcooked.
∵ It is like the cooking an egg
∴ It is a chemical change
