Answer:
y = 15x + 200
Step-by-step explanation:
It should be y = 150x + 200 because if you look at the first one, 300x is too big.
You can cross out the last two.
Then you can see the second one also doesn't work.
Cross that one out.
The first choice is the only one.
The equation would be:
y = 3x + 15
1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y
2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15
3) you already defined the variables
4) 3(5)+15 = 15+15 = 30 seashells
I hope this helps!
The answer will be 50 quarts using proportion and ratio
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
<h2>Answer:
y = - ¹/₂ x + 5
</h2>
<h3>Step-by-step explanation:
</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = 2 (y = 2x + 2)
then the slope of the perpendicular line (m) = - ¹/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 3 = - ¹/₂ (x - 4)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 3 = - ¹/₂ (x - 4)
y = - ¹/₂ x + 5 (in slope-intercept form)
