Answer:
Yes, (5,5) is a solution of y=x
Step-by-step explanation:
A point is given as a coordinate pair, (x,y). The first number is x and the second number is y. A solution is a pair of numbers that will make the equation true.
To check if the point is a solution, fill in the first number in place of x in the equation. Then fill in the second number for the y.
Here we have the equation:
y = x
Substituting (filling in) we get:
5 = 5 a true statement. So (5,5) IS a solution.
Alternatively, you could graph the equation and verify that the point is on the graph. see image.
Answer: the answer is b.
r = 0 means that there is not a linear relationship between both variables, but there are other types of relationships that can be happening here.
you for example can have a quadratic relation or something weirder.
The answer is b because all you have to do is just subtract if I am wrong so sorry
Answer:
x = ¹⁰⁄₄,⁵⁄₂, or 2.5
Step-by-step explanation:
Given: 13 - 2(2x + 1) = 1
1. Distribute -2 through the parentheses:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 + (-2)(2x) + (-2)(1) = 1
13 - 4x - 2 = 1
2. Combine like terms:
⇒ 13 - 4x - 2 = 1
⟹ 11 - 4x = 1
3. Subtract 11 from both sides:
⇒ 11 - 11 - 4x = 1 - 11
⟹ -4x = -10
4. Divide both sides by -4:
⇒ -4x ÷ -4 = -10 ÷ -4
⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5
5. Check your work:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 - 2(2(2.5) + 1) = 1
⇒ 13 - 2(5 + 1) = 1
⇒ 13 - 2(6) = 1
⇒ 13 - 12 = 1
⟹ 1 = 1 ✔
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