Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
Answer:
11
Step-by-step explanation:
5+6 11
Answer:
no
Step-by-step explanation:
Marisol biked a total of 71 miles. On the other hand, she biked about 10 more miles on Wednesday than on Thursday.
<h3>How to round numbers?</h3>
The general rule is to move the decimal number to its nearest tenth. For example, 5.6 should be rounded as 6 but 5.1 should be rounded as 5.
Now, let's round the distance covered by Marisol each day:
- Monday: 12.3 = 12
- Tuesday: 14.1 = 14
- Wednesday: 17.7= 18
- Thursday: 11.8 = 12
- Friday: 15.2 = 15
<h3>What distance did Marisol covered?</h3>
To know this just add the distance every day:
- 12 + 14 +18 + 12 + 15 = 71 miles
<h3>How much more did she bike on Wednesday than on Thursday?</h3>
Distance covered on Wednesday - distance covered on Thursday
Note: This question is incomplete; here is the missing information:
- Monday 12.3
- Tuesday 14.1
- Wednesday 17.7
- Thursday 11.8
- Friday 15.2
Learn more about addition in: brainly.com/question/17407789
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In 10 days they will have the same amount of cards