Hi there!
Here are all the steps into solving this equation into the y-intercept form:
y <u>- 6</u> = 1/2(x - 2)
Add 6 on each side of the equation
y = <u>1/2(x - 2)</u> + 6
Multiply the whole parentheses by 1/2
<u>1/2 × x</u> = 1/2X
<u>1/2 × -2</u> = -1
y = 1/2x <u>- 1 + 6</u>
Add the similar terms together
y = 1/2x + 5 → ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)
Answer: 2,949 times 7 = 20643 miles he travels in all this year.
The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions
<h3>How to interpret the discriminant?</h3>
The equation is given as:
0 = -2x^2 + 3
Rewrite as:
-2x^2 + 3 = 0
The discriminant of an equation is calculated using:
D = B^2 - 4AC
In this case, we have:
A = -2
B = 0
C = 3
So, we have:
D = (0)^2 - 4 * -2 * 3
Evaluate
D = 24
When the discriminant is 0 or more, then the equation has real roots
Hence, the discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions
Read more about quadratic functions at:
brainly.com/question/1214333
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5:4 since p is equal to 5 and r is equal to 4
Answer:
Option C. 
Step-by-step explanation:
we know that
If a system of two linear equations has an infinite number of solutions, then both equations must be identical
The given equation is

<u><em>Verify each case</em></u>
Option A. we have

apply distributive property

Compare with the given equation

Option B. we have

remove the parenthesis

Compare with the given equation

Option C. we have

apply distributive property

Compare with the given equation

therefore
This equation with the given equation form a system that has an infinite number of solutions
Option D. we have

Compare with the given equation
