Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim
<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>
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To show that a statement is true, you need evidence.
Take for instance:
The evidence that the above proof is true is by taking the <em>squares of both sides of </em>
However, a counterexample does not need a proof per se.
What a counterexample needs is just an instance or example, to show that:
An instance to prove that: is false is:
Hence, the complete statement could be:
<em>In a direct proof, evidence is used to support a proof
. On the other hand, a counterexample is a single example that shows that a proof is false.</em>
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Read more about evidence and counterexample at:
brainly.com/question/88496
Answer:
(-2,-110)
Step-by-step explanation:
First solve for x
20x−70=70x+30
x= -2
Now substitute x for -2
y=20x−70
y=20(-2)-70
y = -110
1.89×4=7.56 7×2.49= 17.43
17.43+7.56=24.99
so d is your answer
Answer:
1. 5x +43
2. -1.5x - 7
3. 6.2 - 2x
Step-by-step explanation:
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<u>Equation 1:</u>
5 (x+8) +3
First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign
Now we have: 5x + 40 + 3
Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.
Our finished equation is: 5x + 43
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<u>Equation 2:</u>
3.6x - 7 - 5.1x
First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.
We can add 3.6x and -5.1x and get -1.5x
Now we have: -1.5x - 7
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<u>Equation 3:</u>
4 + 8x + 2.2 - 10x
We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.
Next, we can combine 4 and 2.2 and get 6.2.
Now, putting these back into our equation would look like this:
6.2 - 2x
I'm not sure how much my explanations helped, but I hope you understand!!
The matching of each transformed function is as follows;
g(x) = 2f(x) → y-intercept at (0,2)
h(x) = f(x) + 2 → asymptote of y=2
j(x) = f(x + 2) → y-intercept at (0,4)
m(x) = function decreases as x increases
<h3>How to match transformations?</h3>
A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.
From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;
g(x) = 2f(x) → y-intercept at (0,2)
h(x) = f(x) + 2 → asymptote of y=2
j(x) = f(x + 2) → y-intercept at (0,4)
m(x) = function decreases as x increases
Read more about Transformations at; brainly.com/question/21515360
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